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Susan Mantell Chuck Hautamaki, Ph.D. Mechanical Engineering University of Minnesota Research Sponsor: United States Navy Discrete Embedded Microsensors in Laminated Composites
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Susan Mantell Chuck Hautamaki, Ph.D. Mechanical Engineering University of Minnesota

Research Sponsor: United States Navy

Discrete Embedded Microsensors in Laminated

Composites

Why Embed Sensors?

• smart structures

• discrete sensing • wireless • monitor health • low cost

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Reader

Data Analysis

Micro Device

Device Schematic

1.5 cm

Laminated Composite

Sensor Circuit Antenna

Sensor: MEMS device to measure strain Circuit: A/D conversion Antenna: Power - Receive - Transmit

Loads

Embedded MEMS

Project Goals/Approach

2. Sensor Fabrication

3. Verify Sensor Function

1. Sensor Design

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Presentation Outline

1. Sensor Design and Fabrication

2. Test Results

3. Modeling Approaches

4. Design Guidelines

5. Conclusions

MEMs: MicroElectroMechanical systems How mechanical structures are fabricated with IC technology

Design Requirements

A “good” sensor is .... •  repeatable •  reliable, durable •  minimal impact on structure •  interface with telemetry

Repeatable minimum hysteresis device to device

Reliable cyclic loading Durable max temp 350°C max strain 1500µε

Telemetry retain change ΔR/R>0.5% or ΔC/C > 1%

Structure size <0.5 cm2

thickness<500µm

1.5 cm

Laminated Composite

Sensor Circuit Antenna

Sensor Design Approach

On Surface Devices

1. Sensor element integral with wafer

Off Surface Devices

2. Sensor element moves ⊥ to wafer

3. Sensor element moves // to wafer

Sensor Design Summary

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Resistive

Capacitive

On Surface Off Surface

Monofilament Cantilever Beam

Curved Beam

Overlap

√ √ √

√ √ √

Approx. Size: 100 x 400 µm 500 µm thick

6 Device Designs

Monofilament Microsensor

Cantilever Beam Microsensor

Curved Beam Microsensor

Test Plan

6 Device Designs

Embed Test

tensile 4pt bend cyclic

over 200 specimens

over 1000 data sets

(Area 10-100 mm2)

8-48 layers wired sensor,rosette

Embedding a Microsensor

Wire Soldered to Bonding Pad Wired Microsensor During

Layup Process

Section of Embedded Silicon Wafer

Mechanical Testing

Tensile Test Bending Test

Calibration Resistance ⇒ Strain

•  Strain gage mounted on silicon wafer on aluminum bar •  Strain gage mounted on embedded silicon wafer •  Compare with CLT and FEA (<2% difference) •  Compare with sensor results

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Loading

dR/R vs. Strain

-0.6 -0.4 -0.2

0 0.2 0.4 0.6 0.8

1 1.2

-200 -100 0 100 200 300 400 500 600 700

Strain (µε)

dR/R

(%)

Load Axis

45 Deg Axis to Load

90 Deg Axis to Load

Higher dR/R   More responsive   Better sensitivity

Repeatability and Variation

0.0!

0.5!

1.0!

1.5!

2.0!

2.5!

Curved Beam Cantilever Beam Monofilament!

dR/R

at 1

000

µε

(%)!

Tensile T_Bend!C_Bend!

•  Highest response to compression-bending •  Curved beam least variation •  Monofilament most sensitive

24 ply fiberglass laminate

What’s Desirable? Same response regardless of type of stress

Cyclic Loads

100000 0.0!

0.5!

1.0!

1.5!

2.0!

2.5!

0.1 1 10 100 1000 10000

Cycles!

dR/R

at 1

000µε

(%)!

Curved Beam! Cantilever Beam! Monofilament

uniaxial tension 24 ply fiberglass

Sensor Response vs. Cycles

Effect of Laminate Thickness

Curved Beam Sensor!

0.0!

1.0!

2.0!

3.0!

4.0!

5.0!

6.0!

0.0! 2.0! 4.0! 6.0! 8.0! 10.0! 12.0! 14.0!

Laminate Thickness (mm)

dR/R

at 1

000µε

(%)! Tensile

Tension Bend Compression Bend

Monofilament Sensor!

0.0!

1.0!

2.0

3.0!

4.0!

5.0!

6.0!

0.0! 2.0 4.0 6.0 8.0! 10.0! 12.0! 14.0!

Laminate Thickness (mm)

dR/R

at 1

000µε

(%)!

Tensile Tension Bend Compression Bend

•  Silicon wafer affects sensor response to bending

•  Local bending of wafer dominates sensor response for thin laminates

•  Off surface shows more consistent performance for thin laminates

On surface vs. Off surface

Performance depends on loading

ΔR/R should not be f(loading, laminate thickness)

Modeling

Laminated Plate Theory overall performance laminate strain

Finite Element Methods sensor design and sizing matrix effects

Shear Lag sensor design and sizing load transfer

Finite Element Methods On Wafer Off Wafer

εs strain on surface

L δ

fibers + matrix

Silicon wafer

strain field:δ/L

matrix

0.1 mm air gap

εs strain at air/matrix

•  Evaluate designs (size) to maximize εs •  Locate/size sensor features to achieve desired R or C

Finite Element Model

Typical Coupon Model Tensile Loads

Bending Loads

On surface (monofilament sensor)

Finite Element Model

Off Surface (Cantilever and Curved beam)

Find effect of sensor on composite (local stresses)

Embedded Silicon Wafer

Sensor affects stress/strain field

Wafer Thickness Effect

Wafer Thickness (mm)

Monofilament in tension FEA silicon wafer strain

•  Model shows linear decrease in strain at sensor

0.6!0.5!0.4!0.3!0.2!0.1!0.0!

0.2!

0.4!

0.6!

0.8!

1.0!

ε s ε ap

plie

d 0.0!

1.0!

2.0!

3.0!

4.0!

0.1! 0.2! 0.3! 0.4! 0.5! 0.6!

Wafer Thickness (mm)

dR/R

at 1

000µε

(%)!

Tensile! Tension Bend Compression Bend!

Effect of Laminate Thickness I

Curved Beam Sensor!

0.0!

1.0!

2.0!

3.0!

4.0!

5.0!

6.0!

0.0! 2.0! 4.0! 6.0! 8.0! 10.0! 12.0! 14.0!

Laminate Thickness (mm)!

dR/R

at

1000

ue

(%)!

Tensile!Tension Bend!Compression Bend!

Monofilament Sensor!

0.0!

1.0!

2.0!

3.0!

4.0!

5.0!

6.0!

0.0! 2.0! 4.0! 6.0! 8.0! 10.0! 12.0! 14.0!

Laminate Thickness (mm)!

dR/R

at

1000

ue

(%)!

Tensile!Tension Bend!Compression Bend!

• Si wafer affects sensor response to bending • local bending of wafer dominates

sensor response for thin laminates • off surface devices buckle in compression

On surface vs. Off surface

Effect of Laminate Thickness

•  Experiments: higher sensor output with tensile loads •  Less variation in response to type of loads when laminate is thick

Local Sensor Strain vs. Laminate Thickness Farfield Strain - 1000µε

-100 0

100 200 300 400 500 600 700 800

2.0 4.0 6.0 8.0 10.0 12.0 14.0 Laminate Thickness (mm)

Loca

l Stra

in (µε)

FEA Tensile CLT Tensile FEA Bending CLT Bending

Tensile Loads

Bending Loads Farfield Strain

Near Field Strain

Monofilament Sensor!

0.0!

1.0!

2.0!

3.0!

4.0!

5.0!

6.0!

0.0! 2.0! 4.0! 6.0! 8.0! 10.0! 12.0! 14.0!

Laminate Thickness (mm)!

dR/R

at

1000

ue

(%)!

Tensile!Tension Bend!Compression Bend!

1000 µε

Modeling

Laminated Plate Theory overall performance laminate strain

Finite Element Methods sensor design and sizing matrix effects

Shear Lag sensor design and sizing load transfer

Effects of Wafer Geometry

•  From Shear lag theory GF = [(w + t)/(w * t )] * L

Off Surface Sensors!

0.0!

1.0!

2.0!

3.0!

4.0!

10.0! 11.0 12.0! 13.0! 14.0! 15.0

Geometry Factor!

dR/R

at 1

000µε

(%)!

CB Cantilever

T Cantilever TB Cantilever

T Curved TB Curved CB Curved

Monofilament Sensor!

0.0!

1.0!

2.0!

3.0!

4.0!

0.0! 5.0! 10.0! 15.0! 20.0! 25.0! 30.0!

Geometry Factor!

dR/R

at 1

000µε

(%)!

Tensile Tension Bend Compression Bend!

Off Surface Sensors Wafer geometry has no effect

On Surface Sensors Higher GF improves response

Sensor Design Summary

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On Surface

Monofilament

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Off Surface

Cantilever Beam

Curved Beam

•  Thinned difficult to fabricate •  Large device to device variation •  Large variation in ΔR/R from tension to bending •  Best ΔR/R •  Ability to detect Poisson's effect

•  Small device to device variation •  Consistent ΔR/R from tension to bending •  Adequate ΔR/R

Completed Strain MEMS

Sensor

Conclusions

Accomplishments •  Designed, fabricated and tested MEMS strain sensors •  Demonstrated that MEMS can measure strain •  Developed modeling tools for sensor, and sensor/composite

Strain Sensor Design Guides •  Thinned, or off wafer devices for best strain transfer •  Off wafer designs respond consistently to loads •  On surface design detects Poisson's effect •  Piezoresistive material, maintains change,well characterized

Laminated Composite

Sensor Circuit Antenna

Performance in Liquids

Laminated Plate Theory µε

400!300!200!100!0!0!

1000!

2000!measured, sensor!calculated LPT!

Load (lbf)!

Stra

in!

sensor: thinned (150 µm) monofilament load: tension

• calibrated (R->ε) from residual strain data

• LPT indicates effect of sensor on strain field

• thinned sensor has minimal effect on local strains

Proposed Flexible Microsensor

Silicon Wafer

Electronics Polyimide Layer Polysilicon Sensor

Multi-beam Capacitive Sensors

Sensor Repeatability

400!300 200!100 0!1244!

1246!

1248!

1250!

1252!

1254!

1256!load unload

Load (lbf)

Res

ista

nce

(Ohm

s)!

Monofilament Sensor

1200 1000!800!600!400!200!0!715!

720!

725

Load (lbf)

Res

ista

nce

(ohm

s)!

specimen 1!

specimen 2!

load unload

Cantilever Beam Sensor

The ima

Tensile Test

Silicon Wafer on Aluminum Bar

Variation among Devices Tension

0.26

mon

o!

0.50

mon

o!

cant

bea

m!

curv

ed b

eam!

stra

in g

age!

0.0!

0.2!

0.4!

0.6!

0.8!

1.0!

1.2!

1.4!

0.0!

0.2!

0.4!

0.6!

0.8!

1.0!

1.2!

1.4!

0.26

mon

o!

0.50

mon

o!

cant

bea

m!

curv

ed b

eam!

stra

in g

age!

Bending improved response in bending

R/R

at 1

000

Δ

µε

on wafer off wafer on wafer off wafer

Geometry Factor Derivation

w t

L

dx τ

σ w + d σ w

σ w

Wafer

GF = [(w + t)/(w * t )] * L


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