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    Effect of curing conditions on strength development in an epoxy resin

    for structural strengthening

    Christoph Czaderski ⇑, Enzo Martinelli 1, Julien Michels, Masoud Motavalli

    Empa, Structural Engineering Research Laboratory, Überlandstrasse 129, 8600 Dübendorf, Switzerland

    a r t i c l e i n f o

     Article history:Received 24 February 2011Received in revised form 17 May 2011

    Accepted 3 July 2011

    Available online 13 July 2011

    Keywords:A. Resins

    B. Cure behaviour

    B. Stress transfer

    D. Mechanical testing

    FRP (fibre reinforced polymer)

    a b s t r a c t

    Civil structures such as bridges and buildings can be strengthened with prestressed fibre reinforced poly-mer (FRP) strips to enhance both their stiffness and load-bearing capacity. End anchorage is a crucial

    issue for prestressed FRP strips. An innovative anchorage procedure, called the ‘‘gradient anchorage

    method’’ and based on the possible accelerated curing of the epoxy-resin in the end region of the FRP

    strip, has recently been conceived with the aim of avoiding more invasive mechanical fastening systems.

    An in-depth knowledge of the actual development of the key mechanical properties of resins under dif-

    ferent curing conditions (i.e., in terms of curing temperature) is of paramount importance for employing

    the above mentioned gradient method in practical applications. This paper presents experimental results

    and analytical investigations aimed at developing a better understanding of the strength development of 

    a commercial adhesive under different curing times and temperatures. Firstly, direct tensile tests on

    epoxy specimens were performed at different curing temperatures. It was shown that the necessary cur-

    ing time to reach the maximum tensile strength can be significantly reduced from several hours at room

    temperature to approximately 30 min at 90 C. Furthermore, higher curing temperatures reduced the

    activation time after which strength starts to increase. The experimental observations are shown graph-

    ically with both the activation time and reaction duration at different curing temperatures. Secondly,

    pull-off bond tests were conducted on 100 mm wide and 1.2 mm thick FRP strips bonded to concrete

    using epoxy adhesives cured either at 90 C for different durations or at room temperature. An opticalimage correlation system (ICS) allowed the load transfer behaviour of the inhomogeneous cured adhesive

    between the FRP strip(s) and concrete to be studied. Finally, using the experimental measurements, the

    bond shear stress–slip interface relationships for the different test specimens were identified in order to

    present the effect of elevated curing temperatures and curing durations.

     2011 Elsevier Ltd. All rights reserved.

    1. Introduction

    The ageing of existing civil structures and the enhancement of 

    safety standards in structural codes are two important reasons

    for the increasing interest of the structural engineering community

    in developing cost-effective strengthening techniques. For in-

    stance, active reinforcement of existing members through pre-stressing techniques can significantly enhance both stiffness and

    strength of those members, with a more rational and efficient

    exploitation of the mechanical properties of the reinforcing mate-

    rials. Using fibre reinforced polymers (FRPs) for external prestress-

    ing of existing reinforced concrete (RC) members is one of the most

    innovative active techniques for structural strengthening.

    The main advantages derived by employing FRP in structural

    strengthening are their low density, ease in mounting and superior

    durability. However, similar to the case of external prestressing

    with steel cables, FRP prestressed reinforcement needs a suffi-

    ciently strong anchorage in order to guarantee a correct force

    transfer. Besides the conventional mechanical anchorages, which,

    for example, use steel plates doweled against the concrete surface,a fully adhesive anchorage system may be considered to be a more

    durable solution, as no permanent steel plates and dowels are

    required.

    The so-called ‘‘gradient anchorage method’’   [1–3] is a possible

    technical solution for avoiding mechanical fasteners and connec-

    tors in RC members externally prestressed by FRP strips. This

    method reduces the prestressing force at the strip ends to zero over

    a certain length while the FRP strips are placed by using a special

    stressing and heating device. Currently, such a device consisting

    of heating elements is being developed in collaboration with an

    industry partner for practical applications. In order to achieve an

    efficient application of the gradient anchorage method, detailed

    1359-8368/$ - see front matter    2011 Elsevier Ltd. All rights reserved.doi:10.1016/j.compositesb.2011.07.006

    ⇑ Corresponding author. Tel.: +41 58 765 55 11 11; fax: +41 58 765 44 55.

    E-mail address:  [email protected] (C. Czaderski).1 Permanent address: University of Salerno, Dept. of Civil Engineering, via Ponte

    don Melillo, 84084 Fisciano, Italy.

    Composites: Part B 43 (2012) 398–410

    Contents lists available at  ScienceDirect

    Composites: Part B

    j o u r n a l h o m e p a g e :   w w w . e l s e v i e r . c o m / l o c a t e / c o m p o s i t e s b

    http://dx.doi.org/10.1016/j.compositesb.2011.07.006mailto:[email protected]://dx.doi.org/10.1016/j.compositesb.2011.07.006http://www.sciencedirect.com/science/journal/13598368http://www.elsevier.com/locate/compositesbhttp://www.elsevier.com/locate/compositesbhttp://www.sciencedirect.com/science/journal/13598368http://dx.doi.org/10.1016/j.compositesb.2011.07.006mailto:[email protected]://dx.doi.org/10.1016/j.compositesb.2011.07.006

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    information on how to prepare, place and cure the adhesive is

    essential. Although plenty of experimental and theoretical

    studies have been carried out on the structural behaviour of 

    FRP-strengthened RC structures (see, for instance, Meier   [4]  and

    Teng et al. [5]), the effect of the curing conditions on the develop-

    ment of the mechanical properties of epoxy resins generally uti-

    lised for structural strengthening is one of the less investigated

    issues. In this context, quantifying the effect of curing temperature

    and duration on the strength development of epoxy resins could

    significantly improve the preparation and installation procedures

    for the gradient anchorage or similar applications.

    It must be pointed out that the present investigation studied the

    effect of curing temperature and duration on the stiffness andstrength evolution of adhesives. As such, it did not consider the ef-

    fect of test temperature on the properties of fully cured adhesives,

    a subject investigated for example in Klamer et al.  [6].

    In the first part of this paper, a State-of-the-art section pre-

    sents information available in the literature related to the

    strength development of epoxy adhesives. Following this, the re-

    sults of two different types of experimental tests are presented.

    On one hand, a series of direct tensile tests were performed on

    samples of epoxy resin cured under different conditions with

    the objective of describing the evolution of the adhesive strength.

    On the other hand, six pull-off bond tests were carried out on FRP

    strips glued on concrete blocks and cured in different conditions

    for investigating how the interface relationship between shear

    stresses and interface slip is influenced by the curing conditionsin terms of temperature and duration (see also   [7]). Full-field

    3D-displacements of the test specimens were measured using

    an optical image correlation measurement system. Finally, differ-

    ent analytical models are developed and applied for deriving the

    quantitative information related to the development of the rele-

    vant mechanical properties of both the adhesive and the FRP-

    to-concrete interface.

    2. State-of-the-art on strength development of epoxy adhesives

    In general, adhesives can be classified according to either their

    origin, method of bonding, end use or chemical composition. De-

    tailed information about their possible classification can be foundin Mays and Hutchinson   [8]. The present work focuses on the

    strength development of epoxy adhesives, which are the most

    commonly used for applications in structural strengthening.

     2.1. Curing temperature and duration effects on strength development 

    The current section gives an overview of previous investigations

    on the effect of curing temperature and duration on the strength

    development of epoxy adhesives as reported in the scientific liter-

    ature. A summary of significant contributions is outlinedin Table 1.

    Kwan et al. [9] investigated several methods for rapid curing of 

    structural adhesives. They carried out an experimental campaign

    on two kinds of structural adhesives (namely, urethane- and

    epoxy-based), considering both ultrasonic and electromagnetic(radio frequency and microwave) heating techniques. The study

    was aimed at demonstrating the feasibility of heating procedures

    for adhesive curing other than the traditional ones based on ther-

    mal heating. Different behaviours were observed for the two types

    of adhesives. In particular, all the rapid curing techniques were

    successful for the urethane-based adhesive with a fast enhance-

    ment of the joint strength observed within a few seconds, when

    tested as a single lap shear joint according to ASTM D3163-96

    [10]. On the other hand, the epoxy-based resin behaved worse,

    resulting in arcing and smoking while heating.

    Several researchers have investigated the effect of elevated cur-

    ing temperatures on the strength development of structural

    adhesives.

    Lapique and Redford  [11]  studied the evolution of some rele-vant mechanical parameters (i.e., viscosity, strength and stiffness)

    of a commercial epoxy-adhesive during the curing period. They

    investigated the effect of the curing temperature and quantified

    the time evolution of both the strength and the elastic modulus

    at room temperature. It was demonstrated that when cured at

    room temperature, the strength as well as the elastic modulus in-

    creased with time. Furthermore, a faster strength evolution was

    observed at higher temperatures, as the same mechanical proper-

    ties obtained at 23 C after 28 days could be attained at 64 C after

    only 4 h.

    Dodiuk and Kenig   [12]   observed increasing flexural strength

    and flexural modulus of fibreglass epoxy composites with higher

    curing temperatures. For instance, the strength achieved after 1 h

    curing at 60 C was higher than that obtained after 10–20 days of curing at room temperature.

    Nomenclature

    F    maximum tensile force during the axial tensile testsF u   maximum force at failure or at initiation of debonding

    during the pull-off bond test f (t ) time dependent axial tensile stress of the axial tensile

    tests f a   axial tensile strength of the axial tensile testst a   activation time (time which is necessary to start the

    curing reaction, see Fig. 15)t r    reaction duration (time which is necessary to reach the

    end strength, see Fig. 15)m   reaction rate (see Fig. 15)n   virtual intersection of the ascending branch with the y-

    axist    curing durationt tot    full curing duration, i.e., activation time plus reaction

    duration (t a + t r )t n   normalized duration for fully curing in reference to

    room temperature testing at 22  C

    t h   heating durationt c    cooling durationT    curing temperatureT avg    mean temperature during pull-off tests

    max   maximum shear strength (see Fig. 17)s   FRP-to-concrete interface slipsel   slip at end of elastic branch (see Fig. 17)smax   slip at debonding (see Fig. 17)su   ultimate slipsT    the total number of specimens cured at temperature T E  f    strip elastic modulust  f    strip thicknessb f    strip widthL   bond lengthkel   elastic stiffness (see Fig. 17)nm   number of displacement measurements x   abscissa of the coordinate axis system xel   point on the abscissa at which s( xel) =  sel

    C. Czaderski et al. / Composites: Part B 43 (2012) 398–410   399

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    Similar observations have been made by Matsui [13], who stud-

    ied the effects of curing conditions on the development of both

    shear strength and stiffness for two kinds of adhesive (namely,

    epoxy–polyamideamine and cyanoacrylate, only the first one beingused for structural purposes). In general, the author observed that

    the minimum curing duration needed for reaching the maximum

    shear strain was clearly related to the curing temperature.

    Tu and Kruger  [14], after testing two different epoxy resins

    (with and without silica filler) in pull-out tests according to ASTM

    C882-87  [15], observed an increase in bond strength with higher

    curing temperature at a constant curing duration (7 days).

    A large number of torque tests with a circular FRP composite

    laminate bonded to a concrete cylinder were presented by Dutta

    and Mosallam   [16]. The investigation presented four different

    epoxy-based adhesives tested at various curing temperatures rang-

    ing from 34 to 49 C with different curing durations. Similar con-

    clusions as those made by the previous researchers regarding

    strength evolution were drawn.Although all experimental observations pointed out the huge

    influence of the curing conditions on the development of the rele-

    vant mechanical parameters, no quantitative formulations have

    been proposed so far for expressing this relationship between, for

    instance, the actual value of the tensile strength f (t ) of epoxy resinsat curing time  t   and the corresponding curing temperature. Onlythe following ‘rule of thumb’ is given by Mays and Hutchinson

    [8], who observed that, for curing temperature higher than 5 C,

    the curing duration needed for achieving the final strength of the

    resin is halved for every increase of 10 C in temperature.

     2.2. Influence of curing temperature on the end strength of adhesives

    In addition to studying the development of the relevantmechanical properties of adhesives, various researchers have ana-

    lysed the end strength of resins and its possible relationship with

    the curing temperature. For instance, Dutta and Mosallam [16] ob-

    served higher end torque strengths for higher curing temperatures.

    Cao and Cameron [17] confirmed this observation by investigat-

    ing an additional effect. Instead of using isothermal curing, consist-

    ing of rapidly heating the resin specimen to the desired

    temperature, the heating was carried out in various steps, starting

    at a low temperature and increasing it in a step-wise manner for

    different curing durations. According to the authors’ observations,

    this technique leads to a more uniform curing of the adhesive layer

    and, thus, results in a better mechanical performance.

    Dodiuk and Kenig  [12]  observed both higher flexural strength

    and stiffness of specimens cured at 60 C and 120 C in comparisonto epoxies cured at room temperature.

    Moreover, Tu and Kruger [14] obtained higher bond strengths at

    20 C than at 10 C for the same curing duration. With further heat-

    ing up to 40 C, however, no further enhancement in strength was

    obtained. Islam et al. [18], by means of tensile tests, obtained opti-mal values for both tensile strength and elastic modulus at a curing

    temperature of 70 C, while both decreased again approaching

    120 C.

    To summarize, one can say that the adhesive stiffness and

    strength development is highly dependent on the curing tempera-

    ture and curing duration. In general, stiffness and strength devel-

    opment occurs faster with higher curing temperatures.

    Furthermore, some indications of higher end strength with increas-

    ing curing temperature can be found in the literature. The main

    goal of the current research was to investigate and quantify the

    influence of curing temperature and duration on strength develop-

    ment for the particular epoxy adhesive used in this investigation.

    For other adhesive types with different chemical compositions, as

    seen in the literature, a different behaviour might be observed.

    3. Materials

    All experimental tests were performed with a commercially

    available epoxy based adhesive called S&P resin 220. Its measured

    glass transition temperature T  g  was 52 C and 58 C at room and90 C curing temperatures, respectively. According to the declara-

    tion of the manufacturer, the tensile bond strength on steel is lar-

    ger than 14 MPa.

    The FRP strip had a thickness of 1.2 mm and a width of 100 mm

    with the mechanical properties listed in  Table 2. The elastic mod-

    ulus was determined in a loading test for each strip before the

    bond tests, which are also reported in Table 2. The measured mod-

    ulus of 174 GPa was almost exactly that specified by the

    manufacturer.

    Aggregate with particle sizes ranging from 0 to 32 mm was em-

    ployed for the concrete of the blocks used for the pull-off tests, to

    which the FRP strips were glued. At 28 days, a cube compressive

    strength  f c ,cube   of 51.5 MPa was measured, whereas the splittingtensile strength f ct  was found to be 3.25 MPa.

    4. Experiments

    Two different types of tests were carried out with the aim of 

    investigating both the evolution and the final values of the key

    mechanical properties of the adhesives for different curing condi-

    tions in terms of both temperature and duration. A commercialepoxy adhesive which can be employed for the ‘‘gradient

     Table 1

    State-of-the-art summary on curing temperature and time effect on epoxy strength evolution and end strength (RT = room temperature).

    Author Adhesives Experiments Curing

    temperature

    Curing

    duration

    Kwan et al.  [9]   Urethane- and epoxy-based Lap shear test Ultrasonic, radio frequency and

    microwave heating

    Lapique and Redford

    [11]

    Araldite Uniaxial tension and 3-point bending test 23–64 C 1–28 days

    Dodiuk and Kenig[12]

    High-temperature epoxies Bending and lap shear tests RT, 60, 120 C 60 min to20 days

    Matsui [13]   Epoxy (Araldite)/instant glue

    (cyanoacrylate)

    Lap shear test 18–150 C 3.3–50 h

    Tu and Kruger [14]   Unfilled and silica filled epoxies Slant shear test 10–40 C 1–14 days

    Dutta and Mosallam

    [16]

    Four different epoxies Torque tests with circular FRP laminates bonded on concrete   34 to 49 C 24–72 h

    Islam et al. [18]   Hemp fibre/epoxy composite/neat

    epoxy

    Fiber pull-out with interfacial shear strength measurements and

    uniaxial tension

    25–120 C 0.08–13.8 h

    Cao and Cameron

    [17]

    Glass fiber reinforced epoxy Bending and shear tests RT to 150 C 5 h s tep curing

    400   C. Czaderski et al. / Composites: Part B 43 (2012) 398–410

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    anchorage method’’ in RC beams externally prestressed by FRP

    strips was used for all tests. The experimental campaign can be

    subdivided into the two following groups of tests:

    – axial tensile tests on adhesive samples, to measure the develop-

    ment of the adhesive axial tensile strength at different curing

    temperatures;

    – pull-off bond tests on FRP-to-concrete joints, aimed at describ-

    ing the evolution of the interface behaviour under variable cur-

    ing conditions.

    The former tests were carried out for curing temperatures rang-

    ing between approximately 10 and 90 C, while the latter ones

    were performed at a constant mean curing temperature of approx-

    imately 90 C and variable curing durations. It should be noted that

    the tests were performed approximately 5–10 min after stopping

    the heat transfer, which means that the temperature of the test

    specimens at testing was still significantly higher than room tem-

    perature (Sections 4.1 and 4.2) and therefore could influence the

    test results. However, this corresponds approximately to the real

    situation at the time when the prestressing force is released during

    application of the gradient method.

    4.1. Axial tensile tests

    A large number of axial tensile tests were performed on speci-

    mens as those represented in Fig. 1. The uncured resin was applied

    between an aluminium cylinder with a diameter of 20 mm and a

    square aluminium plate with dimensions of 60 60 mm. These

    test specimens were cured at different temperatures in an oven

    and tested with the pull-off tester shown in Fig. 2. The tests were

    aimed at measuring the tensile strength of the resin dependingon both curing temperature and duration. It is clear that, due to

    the short length of the adhesive sample, this test specimen does

    not deliver the real tensile strength. Nevertheless, the actual trend

    in the evolution of the tensile strength of the resin can be captured

    in these tests, whose specimens are particularly convenient and

    can be easily and rather uniformly heated inside a simple oven.

    The evolution of the temperature of the air in the oven as well as

    the temperature inside the resin layer were monitored in some

    of the specimens which underwent an accelerated curing process

    by heat transfer (Figs. 3 and 4).

     Table 2

    Mechanical properties of the FRP strips – comparison between experimental investigation and product certificate.

    Test No. Experimental investigation According to S&P certificate

    Modulus of elasticity E f (GPa)

    Modulus of elasticity  E f (GPa)

    Tensile strength f u(MPa)

    Elongation at 2000 MPa e2000(%)

    Width b f (mm)

    Thickness t  f (mm)

    1 169 173.9 2975 1.142 100 1.23

    2 173

    3 179

    4 174

    5 171

    6 177

    Mean

    value

    174

    Fig. 1.   Specimens for axial tensile tests, on the left side (Nos. 10 and 11) the

    aluminium stamps and plates withapplied adhesive in between can be seen, on theright side (No. 12) the stamp including the fixture for the curing process is visible.

    Fig. 2.   Set-up for axial tensile tests.

    Fig. 3.   Axial tensile test specimens inside the oven and cables for temperaturemeasurements.

    C. Czaderski et al. / Composites: Part B 43 (2012) 398–410   401

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    A complete overview of the tested resin specimens is reported

    in Table 3. The number of specimens cured at room temperature

    as well as those which underwent an accelerated curing process

    at different temperatures is also shown in the table. For the tem-

    perature curing, two different ovens were used. In particular, a to-

    tal of 200 tests were carried out in several sessions with variable

    curing conditions: 136 tests were carried out on specimens with

    accelerated curing in an oven with temperatures ranging between

    45 and 90 C, and 64 tests were carried out on specimens cured at

    different room temperatures, with curing durations ranging from a

    few hours to 7 days.

    Most of the tests were performed on specimens cured at 90 C,

    which is considered as the reference temperature for the present

    investigation. However, this was only the ‘‘nominal temperature’’

    of the air inside the oven. The temperature development in the

    adhesive resin was generally slower than that in the air and the fi-

    nal temperature was slightly lower than the nominal one. A typical

    temperature development observed is shown in  Fig. 4,  emphasis-

    ing the different measurements inside the adhesive and in the oven

    air. Additional tests on specimens cured at 120 C were also carried

    out, but the results are not reported herein as their failure was al-

    ways controlled by the loss of bonding between the resin and the

    aluminium plate, possibly as a result of the difference in relative

    expansion of the two materials at that temperature.

    Fig. 4 also shows the cooling curve for test specimens taken out

    of the oven. All the axial tensile tests were carried out after a min-

    imum of 5 min of cooling outside the oven at room temperature.

    Therefore, from  Fig. 4, it can be concluded that the resin of the

    tested specimens had a maximum temperature ranging between

    60 and 75 C at the time that the tests were actually performed.

    4.2. Pull-off bond tests on FRP strips glued on concrete through a layer of epoxy resin

    Six pull-off bond tests were carried out with the aim of measur-

    ing the strength of FRP-to-concrete joints. In particular, the time

    evolution of the mechanical properties of those joints cured at high

    temperature was the key issue of this investigation. Fig. 5 shows a

    view of the test layout: a 100 mm wide and 1.2 mm thick FRP strip

    was glued to a concrete block and pulled off after either curing at

    an elevated temperature (approx. 90 C) or at room temperature.

    The bond length was 300 mm and the heating was performed

    using three heating elements each with a dimension of 

    100 mm 100 mm. The pull-off bond tests were prepared follow-

    ing the main phases represented in Fig. 6. The tested specimens

    were always equipped with sensors for monitoring the tempera-

    ture evolution within both the adhesive layer and the heating ele-

    ments. The preparation of the adhesive layer between the FRP strip

    and concrete surface was followed by the heating phase (t h), car-ried out by means of heating elements. After stopping the heating

    procedure, a cooling time of 5–10 min was included before starting

    0

    30

    60

    90

    120

    0 100 200 300

    Time [mins]

       T  e  m

      p  e  r  a   t  u  r  e   [  o   C   ]

    Room Temperature Air temp. in the oven

    Sensors on the adhesive

    Oven in testing hall (SH)

    0

    25

    50

    75

    100

    125

    0 50 100 150

    Time [mins]

       T  e  m

      p  e  r  a   t  u  r  e   [   °   C   ]

    Room Temperature Air temp. in the oven

    Sensors on the adhesive

    Oven room (OR)

    Fig. 4.   Typical temperature development during curing of the axial tensile test

    specimens, including the temperature decrease due to removal of the test

    specimens from the oven.

     Table 3

    Overview of the experimental programme for the axial tensile tests on S&P resin 220

    (SH: oven in testing hall, OR: oven in oven room).

    Series Tests with heating Tests w/o heating Oven

    [#]   n.   T  (C)   n.   t max  (h)

    1 12 48 –

    2 4 90 SH

    3 12 90 SH

    4 24 24 –

    5 19 90 4 23 SH

    6 7 90 SH

    7 12 36 –

    8 16 65 8 168 SH

    9 16 45 4 168 SH

    10 24 90 OR  

    11 24 65 OR  

    12 14 90 OR  

    Total 136 64

    Fig. 5.  Test setup for pull-off bond tests.

    402   C. Czaderski et al. / Composites: Part B 43 (2012) 398–410

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    the loading test in order to cool down the adhesive (t c ). Afterwards,one can observe the force increasing up to the maximum value  F u.It can be observed that the temperature during the experiment was

    not constant, but slowly decreased. The heating and cooling times,

    as well as the average test temperature (T avg ), are given in Table 4.The cooling time was chosen so that the existing temperature in

    the adhesive was safely below its glass transition temperature.

    The full-field 3D displacements of the test specimen were mea-

    sured during the experimental investigations with an optical

    image correlation measurement system (ICS)   [19]. A description

    of the measurement system used can be found in Czaderski et al.

    [20], Czaderski and Rabinovitch  [21]. With the ICS, the shape of 

    the surface was also measured. Fig. 7 shows the isolines of the sur-

    face of the strip and concrete before starting the test. It can be seen

    that the surface of the strip was not planar, but was curved with a

    maximum vertical value at the surface centre. This was the result

    of the application process. Hence, a larger adhesive quantity can

    be observed in the strip centre. Over the whole bonding area, an

    average value can be obtained. The latter can subsequently be

    transformed into the mean adhesive thickness by subtracting the

    strip thickness. A summary of the measured adhesive thicknesses

    is given in Table 4.

    The heating duration range of 15–25 min was chosen based on

    the results observed in the previous campaign, while the waiting

    time for cooling was chosen so that the adhesive temperature

    was lower than approximately 50   (Table 4). Comparing Figs.   4

    and 6, a key observation is the temperature development, and con-

    sequently, the rate of the heat transfer in the axial tensile tests and

    pull-off bond tests. In particular, the temperature developed much

    faster in the second series of tests as a result of greater heat trans-

    fer by using heating elements in contact with the CFRP strips com-

    pared to heating the air in the oven.

    5. Results

    The large number of axial tensile tests produced plenty of 

    experimental results useful for understanding the development

    of the axial strength of the epoxy-resin used in this study at differ-

    ent curing temperatures. The strength was simply obtained by

    dividing the failure load by the nominal cross-sectional area of 

    the adhesive layer.

    On the other hand, analysing the pull-off bond tests performed

    on the FRP-to-concrete adhesive joints was much more demanding

    because the properties of the adhesive interface could not be

    Fig. 6.  Adhesive temperature (T 1, T 2, T 3) and force development of Test No. 3 (pull-off bond tests),  t h: heating duration,  t c : cooling duration,  T avg : mean temperatureduring pull-off test, F u: ultimate force, L  = bond length, T 1, T 2, T 3 = temperatures inthe adhesive at the positions 1, 2, 3 (see schematic drawing).

     Table 4

    Overview of the experimental programme for the pull-off bond tests.

    Test

    No.

    Mean

    distance

    concrete

    surface-

    upper

    strip

    surface

    (mm)

    Strip

    thickness

    (mm)

    Mean

    adhesive

    thickness

    (mm)

    Heating

    duration

    t h  (min)

    Waiting

    time to

    failure

    test t c (min)

    Average test

    temperature

    T avg  (C)

    1 4.85 1.2 3.65 15 5.7 45

    2 5.14 1.2 3.94 25 8.6 43

    3 5.00 1.2 3.80 20 5.8 41

    4 4.90 1.2 3.70 25 7.7 42

    5 4.74 1.2 3.54 25 2 days 19

    6 4.93 1.2 3.73 – 3 days 18

    Fig. 7.  Isolines of the surface of the CFRP strip before the start of the pull-off test determined by using the ICS.

     Table 5

    Results of the axial tensile tests on specimens cured at room temperature (n = number

    of tests, T  = curing temperature, t  = curing time, F  = maximum tensile force,  f a = axial

    tensile strength).

    Series   n T  (C)   t  (h)   F  (kN)   f a  (MPa)

    1 12 24–26 4.0–48.0 0.08–6.15 0.25–19.6

    4 24 22 4.0–24.0 0.03–6.18 0.1–19.7

    5 4 24 7.0–22.9 1.49–6.13 4.7–19.5

    7 12 10 6.3–36.0 0.03–5.06 0.1–16.18a 4 10 48–168 4.40–4.95 14.0–15.8

    8b 4 22 48–168 5.76–6.44 18.3–20.5

    9 4 22 48–168 5.84–6.41 18.6–20.4

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    directly measuredby those tests, but had to be derived by means of 

    an indirect identification procedure [20,22].

    This section presents the ‘‘raw results’’ obtained by the experi-

    mental tests; only a few phenomenological observations are re-

    ported. An analytical model for deriving the key parameters of 

    the corresponding interface bond law is discussed in Section 6.

    5.1. Axial tensile tests

    The results of the axial tensile tests carried out on the adhesive

    specimens cured at room temperature are reported in Table 5. The

    table reports both the minimum and maximum nominal curing

    temperatures and the duration (in hours) of each series. Further-

    more, the minimum and maximum axial forces at failure F   andthe corresponding mean axial strengths f a are given for each series.Here, axial strengths were evaluated under the assumption of a

    uniform distribution of axial stresses on the circular transverse

    section of the adhesive layer. As discussed before, this mean axial

    strength is not the correct tensile strength because of the short

    length of the test specimen. However, it allows the strength devel-

    opment at different curing temperatures to be studied. The results

    for the specimens cured at higher temperatures are reported in

    Table 6 following the same procedures explained above.

    Several observations may be made on the basis of these exper-

    imental results. Firstly, the maximum values of the axial strength f aobtained from the specimens cured either at room temperature or

    within the oven are quite close to one another, being in both cases

    about 18–20 MPa. However, a closer comparison between the dif-

    ferent curing conditions reveals slightly lower end strength

    reached at 10 C. This temperature resulted in an end strength of 

    16 MPa, whereas higher temperatures led to higher resistances of 

    about 18–22 MPa. This is in accordance with the findings of the

    researchers mentioned above, especially Tu and Kruger [14], who

    found a very similar bond strength enhancement from about 15

    to 18.5 MPa in the same curing temperature range of 10–20 C.

    However, in order to verify this finding, further detailed experi-

    mental investigation is needed. In general, the presented strength

    range corresponds to the declaration of the distributor of the mate-

    rial, as previously described in Section 3.

    On the other hand, the key difference between the various cur-

    ing temperatures lies in the time span necessary for reaching the

    end strength. For the case of specimens cured at room temperature

    it is in the order of 12 h to a few days, whereas it drops to a few

    hours in the case of specimens cured in the oven at higher temper-

    atures (45–90), see Fig. 12. Consequently, the effect of heat trans-

    fer on the curing process of resins is quantitatively relevant andthe

    relationships between the curing temperature and the develop-

    ment of strength in the resin should be approximated with expo-

    nential or linear functions, as reported in detail in Section 6.

    In all the tests, failure developed throughout the adhesive layer

    with no significant loss of adhesion observed at the aluminium-to-

    resin interface. Consequently, the strength values strictly refer to

    the adhesive and are not significantly affected by the testing sys-

    tem. Fig. 8 illustrates two relevant failure modes of the resin layer,

    the first observed either at low curing temperature or short curing

    duration (Fig. 8a), and the second observed after the activation of 

    the chemical reactions resulted in the hardening of resin ( Fig. 8b).

    5.2. Pull-off bond tests

    The results of the pull-off bond tests carried out on the six FRP-

    to-concrete specimens are given in   Table 7   as a function of the

    heating duration and waiting time before the test started.  Fig. 9

    shows the maximum measured force or the force at initiation of 

    debonding as a function of the curing duration. The characteristic

    ‘‘initiation of debonding’’ stage was defined as the decisive stage

    to determine the bond shear stress–slip relationship, although

    the force can slightly increase afterwards. A discussion related to

    that topic can be found in Czaderski et al.   [20]. The result of Test

    No. 6, carried out on a specimen cured at room temperature for

    3 days, is considered as a reference. As indicated in Fig. 9 and Table

    7, the absolute strength and displacement values of Test No. 2 have

    to be excluded from a detailed analysis, as problems occurred with

    the test setup (complete concrete block displacement occurred in-

    stead of a relative movement between the concrete and FRP strip).

    It can be observed that the specimens cured at an elevated temper-

    ature for 15 or 20 min exhibit significantly lower strengths. More-

    over, all the specimens cured for 25 min (tested either a few

    minutes after the heating procedure or after 2 days) failed at forces

    higher than that observed for the reference specimen cured at

    room temperature.

    The failure modes observed in the various tests confirm the

    above quantitative observations.   Fig. 10   shows the interfaces of 

     Table 6

    Results of the axial tensile tests on specimens cured in an oven (n = number of tests,

    T  = curing temperature,  t  = curing time,  F  = maximum tensile force,  f a = axial tensile

    strength).

    Series   n T  (C)   t  (h)   F   (kN)   f a  (MPa)

    2 4 90 1.0–1.3 2.87–3.88 9.1–12.35

    3 12 88–90 0.8–4.0 1.36–5.66 4.3–18.0

    5 19 88–89 0.7–3.7 1.28–7.14 4.1–22.7

    6 7 90 0.4–0.6 0.23–2.03 0.7–6.58 16 65 0.7–2.7 0.05–6.41 0.16–20.4

    9 16 45 0.7–4.0 0.0–6.10 0.0–19.4

    10 24 90 0.25–2.5 0.0–7.2 0.0–22.9

    11 24 65 0.52–2.5 0.31–5.94 1.0–18.9

    12 14 90 0.3–0.7 0–3.4 0–10.8

    Fig. 8.   Axial tensile tests: typical failure modes.

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    the test specimens after failure. For test specimen No. 1, the resinwas not completely cured after only 15 min, which resulted in a

    failure process in the adhesive layer without any cracks developing

    in the concrete. A substantially similar behaviour was observed for

    the specimen cured for 20 min (Test No. 3), although a small con-

    crete failure area is visible. On the contrary, the other specimens

    failed with a fracture developing throughout the concrete sub-

    strate (Test Nos. 2, 4 and 5) as was the case for the reference test

    (No. 6).

    Another interesting observation is presented in  Fig. 11, where

    the isolines of the displacements in the direction of the applied

    pulling force ( x-direction) determined with the ICS for specimensNos. 4 and 6 are shown. One can observe a significant difference

    between the behaviours in terms of displacements measured.

    Whereas the displacement throughout the central axis is signifi-cantly lower than the one on the outer borders for Test No. 4, the

    opposite occurs for the reference Test No. 6. A reason for this dis-

    crepancy lies in the inhomogeneous heating process over the strip

    width. During curing with the heating elements, a lower tempera-

    ture develops at the strip edges leading to a lower stiffness and

    strength compared to the central part of the strips. Therefore, high-

    er displacements can develop at the strip edges. The reference Test

    No. 6 shows the typical behaviour given in the literature, e.g., [23],

    whereby the centre part of the strip exhibits higher displacements

    than the edge parts of the strip.

    In addition to the direct measurement of the ultimate load lead-

    ing to the failure of the FRP-to-concrete joint, the pull-off bond

    tests are analysed in the next section with the aim of deriving

    the bond shear stress–slip interface law of the FRP-to-concreteinterface and their evolution depending on the heating duration.

    6. Analytical calculations

    6.1. Axial tensile tests

    The experimental observations derived by the axial tensile tests

    show that the strength f a  is negligible in the first stages of the cur-ing phase. The chemical reactions resulting in the hardening of the

    resin and the development of its mechanical properties actually

    begin after a certain time span, referred to here as the ‘‘activation

    time’’  t a. After this time, the mechanical properties (i.e., the axialstrength f (t )) develop quickly, with rates depending on the curingtemperature, up to a maximum asymptotic value (the end

    strength) which is almost independent of the curing conditions.

    The following trilinear relationship was considered, as it clearly

    represents the key features of the observed behaviour in terms of 

    activation time (t a = n/m), reaction rate (m) and asymptoticstrength value f a  (end strength):

     f ðt Þ ¼  m  t  þ n   with 0 6 f ðt Þ 6  f a:   ð1Þ

     Table 7

    Results of the pull-off bond tests (F u = maximum force at failure or at initiation of 

    debonding,   smax = maximum bond strength,   sel  = slip at maximum bond strength,

    smax = maximum slip at full debonding,  wt : waiting time to failure test 2 or 3 days).

    Test

    No.

    Heating

    duration (min)

    F u(kN)

    smax

    (MPa)

    sel(mm)

    smax(mm)

    Failure

    mode

    1 15 18.4 0.8 0.602 0.652 Adhesive

    2a 25 60.4 5.1 0.205 0.408 Concrete

    3 20 34.4 1.4 0.803 0.803 Mainlyadhesive

    4 25 75.7 4.4 0.426 0.712 Concrete

    5 25 + wt    62.0 7.7 0.020 0.248 Concrete6   wt    57.6 7.9 0.031 0.218 Concrete

    a F u  is not the force at failure, due to problems with the test set-up.

    0

    20

    40

    60

    80

    15 20 25 25* 25 + 2 days

    waiting time

    no heating +

    3 dayswaiting time

    Curing duration [min]

       M  a  x   i  m  u  m

       f  o  r  c  e   F  u

       [   k   N   ]

       T  e  s   t   N  o .   1

       T  e  s   t   N  o .   3

       T  e  s   t   N  o .   4

       T  e  s   t   N  o .   2

       *

       T  e  s   t   N  o .   5

       T  e  s   t   N  o .   6

    Fig. 9.   Maximum force at failure or at initiation of debonding according to the

    applied curing duration and waiting time before testing (⁄F u  of Test No. 2 is not theforce at failure, due to problems with the test set-up).

    Fig. 10.   Pull-off bond tests at different curing temperatures: observed failure

    modes at the concrete-FRP interface.

    C. Czaderski et al. / Composites: Part B 43 (2012) 398–410   405

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    A least-squares calibration of Eq. (1) was performed for every set of 

    sT  experimental results reported in Tables 5 and 6 and derived at thevarious temperatures T  reported in Table 8:

    ð m; nÞT 

     ¼  argminðm;nÞ

    XsT 

    i¼1

    ð f ðt i;m;nÞ  f a;iÞ2" #;   ð2Þ

    where t i is the duration of curing and f a,i the observed axial strengthof the ith specimen cured at temperature T  (out of the total sT  curedat the same temperature).

    The results of the calibrations in terms of m, n, and other relatedparameters, are reported in Fig. 12  for the six relevant tempera-

    tures   T   considered in the curing process of the test specimens.The diagrams are sorted in Fig. 12 from lower to higher curing tem-

    peratures and the effect of the heating process on the time evolu-

    tion of the axial strength  f a   is clearly visible. For instance, theactivation time, which is about 6 h in the case of roomtemperature

    (T  = 22 C), is sharply reduced to less than half an hour in the caseof the higher oven temperature (T  = 90 C). Fig. 13 shows the expo-

    nential reduction of the activation time  t a  as a function of the cur-ing temperature T ; the corresponding exponential interpolation is

    Fig. 11.   ICS image of displacement in  x-direction (pulling direction) of the FRP strip and the concrete surface.

     Table 8

    Results of the calibration of the tri-linear model for the different temperatures

    (T  = curing temperature,  m  = reaction rate,   n  = virtual intersection of the ascending

    branch with the   y-axis,   t a = activation time,   t r  = reaction duration,  t tot  = full curing

    duration, t n = normalized duration for full curing relative to room temperature testing

    at 22  C, f a = axial tensile strength).

    T  (C)   m(MPa/h)

    n(MPa)

    t a = n/m(h)

    t r (h)

    t tot (h)

    t n(–)

     f a(MPa)

    10 1.12   12.72 11.37 13.53 24.90 1.63 15.15

    22 2   11 5.49 9.77 15.26 1.00 19.57

    25 2.32   10.57 4.56 8.11 12.67 0.83 18.82

    45 9.37   14.13 1.51 2.00 3.51 0.23 18.8

    65 13.06   8.03 0.61 1.34 1.95 0.13 17.68

    90 18.99   5.36 0.28 0.88 1.16 0.08 16.79

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    0

    5

    10

    15

    20

    25

    0 10 20 30 40 50 0 10 20 30 40 50

    0 10 20 30 40 50

    Curing Duration [h]

       S   t  r  e  n  g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Nominal Temperature

    ~10o

    C

    0

    5

    10

    15

    20

    25

    Curing Duration [h]

       S   t  r  e  n  g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Room Temperature

    22o

    C

    0

    5

    10

    15

    20

    25

    Curing Duration [h]

       S   t  r  e  n

      g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Room Temperature25

    oC

    0

    5

    10

    15

    20

    25

    0 1 2 3 4 5

    Curing duration [h]

       S   t  r  e  n

      g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Nominal Oven Temp.T=45ºC

    0

    5

    10

    15

    20

    25

    0 1 2 3 4 5

    Curing duration [h]

       S   t  r  e  n  g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Nominal Oven Temp.

    T=65ºC

    0

    5

    10

    15

    20

    25

    0 1 2 3 4 5

    Curing duration [h]

       S   t  r  e  n  g   t   h   [   M   P  a   ]

    Test results

    Tri-Linear Model

    Nominal Oven Temp.

    T=90ºC

    Fig. 12.   Axial tensile strength evolution and calibration of the tri-linear law for the specimens cured in an oven at different temperatures.

    tstart = 20.828e-0.0574 T

    R2 = 0.9843

    0.1

    1.0

    10.0

    100.0

    0 10 20 30 40 50 60 70 80 90 100

    T [oC]

       t  a   [   h   ]

    Fig. 13.  Axial tensile tests: calibrated relationship between curing temperature andactivation time.

    m = 0.0332 T1.4143

    R2 = 0.9545

    0.1

    1.0

    10.0

    100.0

    100101

    T [oC]

      m   [   M   P  a   /   h   ]

    Fig. 14.  Axial tensile tests: calibrated relationship between curing temperature andreaction rate.

    C. Czaderski et al. / Composites: Part B 43 (2012) 398–410   407

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    drawn as well as its analytical expression and the corresponding

    coefficient of determination  R2 with respect to the experimentaldata. In addition,   Fig. 14   displays the relationship between the

    reaction rate m and the curing temperature T , suggesting the expo-nential interpolation shown along with the corresponding value of 

    the coefficient R2. In both cases, the proposed interpolations are invery good agreement with the observed data and the correspond-

    ing coefficients of determination are rather close to unity.

    Finally, the relationship (1) between the actual strength   f (t )developed in the resin at time  t  and the curing temperature can

    be utilised for generating a complete chart representing the evolu-tion of the ratio  f (t )/ f a   as a function of time  t   at different curingtemperatures  T  (see Fig. 15).

    The duration necessary for developing the final asymptotic

    strength can be obtained by adding the activation time to the reac-

    tion duration.   Fig. 16   presents the normalised duration for com-

    plete curing (room temperature of 22 C is taken as the reference

    value) compared to the earlier mentioned ‘rule of thumb’ by Mays

    and Hutchinson [8]. A good agreement between the experimental

    results and the suggested rule of thumb found in the literature

    can be observed.

    6.2. Pull-off bond tests

    The key objective of this part of the investigation was to identifythe general bilinear bond shear stress–slip relationship repre-

    sented in Fig. 17   [24]  . Three mechanical parameters completely

    define the relationship between the shear stresses  s f  and the inter-

    face slip s:

    – the maximum shear strength  smax;

    – the interface slip sel at the end of the elastic branch of the inter-face relationship;

    – the interface slip smax  at debonding.

    Displacements were monitored during the tests by means of an

    advanced optical measurement system   [19]. The slip was

    calculated from the difference between the displacements of the

    CFRP strip (section 0 in Fig. 11) and the concrete surface (Sections5 and 6 in Fig. 11) beside the strip.

    The maximum observed displacement at the last stage before

    failure or initiation of debonding was taken as  smax. In particular,three load stages were considered in the present study at three dif-

    ferent load levels F (i) (i = 1, 2, 3) (see Fig. 18).

    Fig. 15.  Calibrated relationship for strength development depending on heating duration at different curing temperatures (the activation time and reaction duration asindicated in the graph are only valid for  T  = 60 C).

    Fig. 16.  Normalized duration for complete curing (activation time plus reaction

    duration) dependent on the curing temperature: experimental measurements incomparison with the rule ‘rule of thumb’ according to Mays and Hutchinson  [8].

    Fig. 17.   General bi-linear relationship for the FRP-to-concrete interface.

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    The following equations and descriptions explain the modelling

    approach for both the elastic and the post-elastic stages.

    6.2.1. Elastic stage

    The elastic stiffness  kel =s

    max/sel   (Fig. 17) can be identified bymeans of a numerical calibration of the following relationship, rep-resenting the interface displacement field due to an axial force  F applied at the end of a bonded joint behaving elastically through-

    out its length L  [22]:

    sð x;x; F Þ ¼  F 

    xE  f b f t  f 

    coshx x

    sinhxL ;   ð3Þ

    where E f  is the Young’s modulus of the composite strip, b f  and t  f  arethe width and thickness of its transverse section and the parameter

    x is defined as follows:

    x ¼

     ffiffiffiffiffiffiffiffikelE  f t  f 

    s   :   ð4Þ

    Considering the first load level F (1) andassuming that the behav-iour under this load remains elastic, the optimal value of  x (and the

    corresponding value of the elastic stiffness  kel) can be derived bysolving the following least-squares minimization problem:

    x ¼  argminx

    Xnmi¼i

    ½sð xi;x; F ðiÞÞ  si;exp

    2

    ( );   ð5Þ

    where nm is the number of displacement measurements  si,exp avail-able at the same load stage.

    6.2.2. Post-elastic stageThe post-elastic response of an adhesive joint can be modelled

    by a more complicated analytical relationship, where the depen-

    dent variables are smax and smax = su. The explicit analytical expres-sion of that relationship is omitted here, but can be found in

    Czaderski et al. [20] or Faella et al. [22]; it can be written symbol-

    ically as follows:

    s ¼  sð x;smax; su; xelÞ;   ð6Þ

    indicating that the value of the interface slip s  at a point on the ab-scissa x  throughout the bonded length L  depends on both the post-elastic branch of the bi-linear law represented in Fig. 17 (namely, on

    the maximum shear strength  smax and the ultimate slip su) and thepoint on the abscissa xel throughout the adhesive interface at whichs( xel) = sel.

    The resulting external force F  can be evaluated through anotherrelationship whose expression is reported below as a function of 

    the same variables:

    F  ¼  F ðsmax; su; xelÞ:   ð7Þ

    Consequently, the optimal values of the parameters  smax and xelcan be derived imposing the following two conditions:

    – the interface slips evaluated using Eq.   (6)  result in values as

    close as possible to the observed values  si,exp;– the external force F evaluated using Eq. (7) is as close as possible

    to that applied during the experimental test.

    The above conditions can be mathematically stated through the

    following least-squares optimization problem with reference to

    the third load stage  F (3) (namely, resulting in specimen failure)[22]:

    ðsmax;  xelÞ ¼ argminðsmax ; xelÞ

    Xnmi¼i

    ½sð xi; smax; su; xelÞ  si;exp2

    s2u

    (

    þ  F ðsmax; su; xelÞ  F 

    ð3Þ

    F ð3Þ

    " #29=;:   ð8Þ

    The results of the optimization procedure are reported in Table

    7 in terms of the resulting values of   smax, sel, and smax = su.The bilinear interface relationships corresponding to the above

    calibrations are presented in Fig. 19, which demonstrates the effect

    of accelerated curing on the mechanical properties of the FRP-to-

    concrete interface. The relationships derived from Test Nos. 1

    (15 min heating duration) and 3 (20 min) are characterized by a

    very low stiffness and no decreasing branch, as the resin is not fully

    cured. On the other hand, a significantly higher value of the

    stiffness is observed in Test No. 4 (25 min heating duration), but

    the stiffness is still clearly lower than that of the fully cured pull-

    off tests. Also, the value of the strength  smax in Test No. 4 is lower

    than that for Test Nos. 5 and 6. Finally, the interface relationships

    derived for Test Nos. 5 and 6 are rather close to one another, con-

    firming the fact that the accelerated curing procedure (carried out

    0.0

    0.1

    0.2

    0.3

    0 50 100 150 200 250 300

    0 50 100 150 200 250 300

    x [mm]

       I  n   t  e  r   f

      a  c  e  s   l   i  p  -  s   [  m  m   ]

    62.0 kN 62.0 kN

    40.5 kN 40.5 kN

    20.1 kN 20.1 kN

    Test no.5

    Experimental

    results

    Calibrated

    model

    load increase

    x

    Pulling directionStrip

    Concrete

    0.0

    0.1

    0.2

    0.3

    x [mm]

       I  n   t  e  r   f  a  c  e  s   l   i  p  -  s   [  m  m   ]

    57.6 kN 57.6 kN

    40.1 kN 40.1 kN

    20.1 kN 20.1 kN

    Test no.6

    Experimental

    results

    Calibrated

    model

    load increase

    Fig. 18.   Measured relative displacements for different loading steps in  x-direction(longitudinal to the strip direction) between the strip and the concrete surface

    referred to as interface slip and simulated slips after the calibration procedure.

    0

    1

    2

    3

    4

    5

    6

    7

    8

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    Interface slip - s [mm]

       B  o  n   d  s   h  e  a  r  s   t  r  e  s  s  -       τ    [

       M   P  a   ] Test. no.1

    Test. no.3

    Test. no.4

    Test. no.5

    Test. no.6

    fully cured

    25 mins

    20 mins

    15 mins

    Fig. 19.   Pull-off bond tests: resulting interface relationships between shear stressesand slips.

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    for Test No. 5) does not affect the final behaviour of the resin (as

    obtained in Test No. 6, the reference test).

    7. Conclusions

    The presented experimental and analytical results lead to sev-

    eral conclusions. As expected, the axial tensile tests revealed a con-

    siderable influence of the curing temperature on strength evolutionof the epoxy adhesive. The necessary curing duration for com-

    pletely developing the end strength of the adhesive, composed of 

    the reaction duration and the activation time, was significantly re-

    duced at higher curing temperatures. On the basis of the axial ten-

    sile tests, a complete chart representing the evolution of the

    normalized tensile strength f (t )/ f a as a function of time t at differentcuring temperatures T   was presented (Fig. 15). The tests demon-strated that to develop almost the same end strength, curing dura-

    tions ranging from approximately 1 day at 10 C to a slightly more

    than one hour at 90 C were required. Moreover, the values of cur-

    ing duration obtainedat the various temperatures were foundto be

    in good agreement with a ‘rule of thumb’ estimate available in the

    scientific literature (see Section 2.1). No significant variation in end

    strength was found at higher curing temperatures. However, fur-

    ther experiments are needed in order to confirm this observation.

    The investigations on the FRP-to-concrete interface at 90 C cur-

    ing temperature showed that 15–20 min of curing resulted in an

    adhesive failure, which means that the strength of the adhesive

    layer had not completely developed for that duration and temper-

    ature. On the other hand, the specimen cured for 25 min at 90 C

    exhibited the same failure mode observed in the pull-off test on

    the reference specimen, which was cured for 3 days at room tem-

    perature. The experimental results in terms of the distribution of 

    interface slip throughout the bond length at different load levels

    were used to identify the shear stress–interface slip relationships

    for the various specimens cured at 15, 20 and 25 min and for the

    reference one cured in the usual way. Besides the above mentioned

    adhesive failure at the shortest two curing durations, curing for

    25 min induced a lower elastic stiffness, a lower maximum bond

    strength and a larger total slip displacement as compared to the

    fully cured specimens. The displacement measured over the strip

    width by optical image correlation revealed the need for optimis-

    ing the performance of the heating elements in order to obtain a

    more homogeneous heat transfer and temperature within the

    adhesive layer.

    Finally, the quantitative results obtained in the present study

    are of key importance for enhancing the practical implementation

    of the gradient anchorage method for prestressed FRP strips in RC

    beams (Czaderski and Motavalli [1], Aram et al.  [2]). Defining the

    optimal anchorage length, the number of steps and the heating

    temperature and duration to be used for implementing the above

    mentioned procedure are among the next objectives of this

    research.

     Acknowledgements

    The financial support of the Swiss innovation promotion agency

    (CTI) of Switzerland is acknowledged (Project Number KTI Nr.

    10493.2 PFIW-IW). Furthermore, the financial support and delivery

    of the test materials of the industrial partner of the project, S&P

    Clever Reinforcement from Seewen, Switzerland, is also

    appreciated.

    References

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