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Handbook of Ceramics and Composites

Volume 2:

Mechanical Properties and Specialty Applications

Handbook_of_Ceramics_and_Composites/082478006X/files/cover-1.html

Handbook of Ceramics and Composites

edited by

Nicholas P. Cheremisinoff

Volume 1 Synthesis and Properties

Volume 2 Mechanical Properties and Specialty Applications

Other Volumes in Preparation

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title:Handbook of Ceramics and Composites. Vol. 2, Mechanical Properties and Specialty Applicationsauthor:Cheremisinoff, Nicholas P.publisher:CRC Pressisbn10 | asin:082478006Xprint isbn13:9780824780067ebook isbn13:9780585374789language:EnglishsubjectComposite materials, Ceramic materials.publication date:1992lcc:TA418.9.C6H32 1992ebddc:620.1/18subject:Composite materials, Ceramic materials.

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1

Fracture Toughness Testing of Polymer Matrix Composites

Joseph E. Grady

Structures Division

NASA/Lewis Research Center

Cleveland, Ohio

Introduction

1

Fracture Mechanics Background

1

Interlaminar Fracture Tests and Data Reduction Procedures

4

Mode I Loading

4

Mode II Loading

16

Mixed-Mode Loading

23

Mixed-Mode Fracture Criteria

28

Rate-Dependent Behavior

31

Design of Tough Composites

38

Introduction

The most common failure mode in laminated composite materials is interlaminar fracture, or delamination between plies of the laminate. In this chapter we describe the experimental methods and associated data analysis techniques that are used to measure the resistance to interlaminar fracture, or fracture toughness, of polymer matrix composite materials. In the first section, a brief background in the use of energy methods to characterize fracture behavior in elastic solids is given. This serves as the basis for the explanations of fracture toughness tests and failure criteria presented in the next section. Material properties of polymers can vary considerably with loading rate. In the third section we describe the rate-dependent fracture behavior observed in polymer composites. In the final section, an overview is given of the variety of approaches used in the design of delamination-resistant composite materials.

Fracture Mechanics Background

This section is divided into two parts. In the first part, the criterion for interlaminar fracture is given. Next, the various modes of fracture are illustrated.

Fracture Criterion

An elastic body under an applied load satisfies the energy balance [1,2]

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Figure10

Nonlinearloaddisplacementbehaviorwithinelasticdeformation:(a)actualfracture

energy;(b)areamethodcalculation.(AdaptedfromRef.12.)

The advantage of this method is that fracture toughness is calculated from the difference in area between the two loaddisplacement curves (i.e, before and after crack extension). There is no requirement for the loaddisplacement curve to be linear. Therefore, Eq. (11) can be generalized for materials that have nonlinear elastic loaddisplacement curves, such as a composite material with a toughened (and therefore more ductile) matrix, like that shown in Figure 10. In this case, however, the simplification made in Eq. (12) for the linear case is not applicable, and a numerical integration scheme may be required to calculate the area between the loading and unloading curves.

J-Integral Method

The fracture energy released from a DCB specimen with a nonlinear loaddisplacement curve is shown in Figure 10a. If a permanent deformation were caused by the loading, the area method would overestimate the toughness of the material, as shown in Figure 10b. A different means of calculating the energy released due to fracture is therefore required when permanent deformation occurs in the material. The J-integral, defined in Ref. 15, is a measure of the energy available for crack extension and can be applied even when irreversible deformation occurs in the material. For the case of elastic deformation, the J-integral has the same value and meaning as the energy release rate; that is, J = G for elastic deformation. An empirical method of calculating J for fracture toughness testing is given in Ref. 12 and outlined in Figure 11. In step 1, loaddisplacement

Figure11

ExperimentalprocedureforJ-integralcalculation.(AdaptedfromRef.12.)

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saApplied stresstShear stress

Subscript

fFibermMatrixcComposites; compressive; criticalD, dDebondingeFor pullout in Eqs. (61) and (62)tTensile1, 2Two principal directions of materialsI, IIFor mode I or mode II fracture

References

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2. M. F. Marham, Proc. AGARD Conference 63, Composite Materials, Paper 4, 1970.

3. D. E. W. Stone, discussion in Proc. Conference on Carbon Fibers: Their Composites and Applications, Plastics Institute, London, 1974.

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6. J. B. Sturgeon, Br. J. Non-Destr. Test., Nov. 1978, pp. 303309.

7. S. Torp, O. Forli, and J. Malmo, Proc. 32nd Annual Technical Conference of SPI, Paper 9-A, 1977.

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9. W. N. Reynolds, Proc. 24th Annual Technical Conference of SPI, Paper 14-B, 1969.

10. M. W. Darlington and P. L. McGinley, J. Mater. Sci., 10: 906 (1975).

11. W. W. Stinchcombe, K. L. Reifsneider, L. A. Marcus, and R. S. Williams, in Fatigue of Composite Materials, ASTM STP-596, ASTM, Philadelphia, 1975, pp. 115129.

12. P. V. McLaughlin, E. V. McAssey, and R. C. Dietrich, Non-Destr. Test Int., 13: 5662 (1980).

13. C. J. Pye and R. D. Adams, J. Phys. D. Appl. Phys., 14: 927941 (1981).

14. J. H. Williams, S. H. Mansouri, and S. S. Lee, Thermal Non-destructive Testing of Fiberglass Laminates Using Liquid Crystals, Report of Composite Materials and Non-destructive Evaluation Laboratory, MIT, Cambridge, Mass., July 1979.

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17. D. O. Harris and B. L. Dunegan, in Testing for Prediction of Materials Performance in Structures and Components, ASTM, STP-515, AS