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Analysis of a New Interface<br />

Adhesion Measurement Method<br />

Zhiliang Zhang<br />

www.ntnu.no\~zhiliang


Overview<br />

• Review on the testing methods<br />

• A New method?<br />

– What we have done<br />

– What we are going to do<br />

• Summary


Bulk Properties<br />

COHESIVE<br />

ELEMENTS<br />

J [N/mm]<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

Betamate 1493<br />

Betamate XD-4600<br />

0 0.5 1 1.5 2 2.5 3 3.5<br />

Crack extension [mm]<br />

J<br />

d<br />

<br />

dA<br />

<br />

<br />

<br />

wdy T<br />

i<br />

ui<br />

ds<br />

x<br />

<br />

Energy<br />

Area<br />

G


Interface Properties?<br />

<br />

initial crack<br />

undamaged zone<br />

a<br />

<br />

c<br />

<br />

cohesive zone


The T-Peel Test<br />

Adhesive fillet<br />

2.0<br />

R=2.0<br />

25<br />

0.25<br />

85


The T-Peel Test<br />

140<br />

Load (N/mm)<br />

Peel- XD 4600 adhesive<br />

120<br />

100<br />

80<br />

numerical<br />

experimental<br />

60<br />

40<br />

20<br />

displacement (mm)<br />

0<br />

0 0.5 1 1.5 2 2.5 3


Blister Test<br />

p<br />

a<br />

h<br />

G <br />

ph<br />

2


4-Point Bending Test<br />

G<br />

<br />

21<br />

4<br />

( PL)<br />

2<br />

h<br />

2<br />

(1 <br />

E<br />

2<br />

)


4-Point Bending Test<br />

Micro motor + Micrometer<br />

Load cell


A New Test Method?<br />

• Macroscopic methods available<br />

– zigzagging crack path<br />

– difficult to measure the crack length<br />

– destructive<br />

• Microscopic defect based adhesion<br />

measurement<br />

– low adhesion due to the interfacial defects<br />

– deformation pattern to adhesion characteristics


A New Method?<br />

Kay Gastinger<br />

glass<br />

measurement beam<br />

mechanical load<br />

adhesive<br />

(300-500µm)<br />

aluminium<br />

delamination<br />

Depth-resolved measurement of Low<br />

Coherence Interferometry,<br />

high-accuracy deformation measurement<br />

of Electronic Speckle Pattern<br />

Interferometry


Deformation Pattern


The Model<br />

2D Axi-symmetric model: 13600 elements, more than 50 analyses<br />

0.01 mm<br />

6 mm<br />

40 mm<br />

2A<br />

2a<br />

t<br />

20.15 mm<br />

20 mm


Materials and Cases<br />

• Glass<br />

– E=73000 MPa, v=0.23<br />

• Adhesive<br />

– E=4850 MPa, v=0.4<br />

• Aluminium<br />

– E=68000 MPa, v=0.3<br />

6 mm<br />

0.01 mm<br />

40 mm<br />

2A<br />

2a<br />

t<br />

• a varied from 0.0058 to 3 mm – 15<br />

different cases<br />

20.15 mm<br />

• A: 10, 6.853, 3 mm – 3 cases<br />

• t: 0.3, 0.5 mm – 2 cases<br />

20 mm


Deformation Pattern


Deformation Pattern<br />

0.01 mm<br />

2A<br />

2a<br />

t


Deformation Pattern<br />

Effect of adhesive thickness<br />

0.01 mm<br />

2A<br />

2a<br />

t


Adhesion Toughness?<br />

P<br />

Load / displacement P<br />

Adhesion toughness<br />

Critical<br />

value<br />

Defect size extension<br />

Defect size extension


Summary<br />

• Deformation pattern has been studied. A relation<br />

between defect opening and defect size has been<br />

established for further development of the<br />

measurement system<br />

• The Method presented has great potentials, but<br />

depends on the hardware.<br />

• Other method is also under development


Nano-mechanical Lab at NTNU<br />

• Continuous load-displacement curve<br />

• No optical interferometry needed<br />

• Non-destructive technique<br />

• AFM surface imaging<br />

• Depth sensing<br />

• ……….<br />

Nanoindenter


Nanoindentation<br />

F<br />

Depth, h


Nanoindentation: Elasto-Plastic Material<br />

F<br />

Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

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Depth, h


Nanoindentation: Elasto-Plastic Material<br />

F<br />

Depth, h


Nanoindentation<br />

Measuring Elastic Modulus<br />

Applied Load<br />

S = dP/dh<br />

• Elastic modulus, E, is calculated<br />

from the contact stiffness, S (the<br />

tangent to the unloading curve)<br />

• Contact area, A, is determined<br />

from the recovered displacement<br />

Depth<br />

1<br />

E<br />

r<br />

<br />

2<br />

2<br />

(1 ) (1 <br />

i<br />

)<br />

<br />

E E<br />

i<br />

<br />

E r<br />

<br />

2<br />

S<br />

A


Nanoindentation<br />

• Young’s modulus<br />

• Hardness<br />

• Stress-strain curve<br />

• Fracture toughness<br />

• Adhesion toughness<br />

• Wear/friction coefficients<br />

• Fatigue / Residual stress<br />

• Time dependent creep relaxation<br />

• Acoustic emission test<br />

• Hydrogen embrittlement<br />

Substrate

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