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Experiment and simulation of a crack growing by material dissolution

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(1)

Ulf Hejman

Materials Science Malmö University

Chemically assisted stress

corrosion in polycarbonate

Bertram Broberg symposium 2007-05-10 Dublin, Irland

(2)

Content

Introduction to stress corrosion

Comparison with classic fracture mechanics

Crack growth experiment

Crack growth simulation

Comparison between the experiment and simulation.

(3)

Introduction to stress

corrosion

Corrosive environment

Susceptible material

Load (external or residual)

(4)

Introduction to stress

corrosion

Occurs frequently in nature.

Stress corrosion cracks grow at relatively low loads.

Hard to detect and distinguish from general corrosion.

(5)

Chemically assisted cracks

branches frequently.

(6)

Linear fracture

mechanics

The crack tip is treated as a singular point.

The crack propagates when a criterion is fulfilled.

The direction of the crack growth is determined by a criterion.

Branching would lead to crack arrest.

(7)

Different approach

The crack surface is a part of the body surface.

Crack growth is merely the evolution of the body surface.

The cracks grow and branch due to dissolution of material.

No crack propagation and crack path criteria.

7

(8)

The experiments

Conducted in polycarbonate with acetone as dissolvent.

The polycarbonate plate was glued to a aluminium bar.

The plate was loaded according to the figure.

Acetone was dropped in a notch between the loading points.

8

(9)

9

Observations

After branching the width of the individual crack branches decreases.

The total width is approximately constant.

The width of the crack corresponds to dissolved material.

(10)

10

FEM analysis

Theoretical model

The surface moves where the strain exceeds a threshold value, e.g. in the vicinity of the crack tip.

The crack mostly follows a mode I path.

Branching occurs spontaneously.

The total crack width is approximately the same after branching.

(11)

Measurements of the

crack width

Ratio (l

1

+l

2) / L 11

Mean value : 1.24

Standard deviation: 0.37

(12)

Ratio

/

(l

1

/l

2)

Measurements of the

crack width and angle

12 12 Experiments •Mean angle : 155 •Standard deviation: 11 Simulation •Mean angle : 151 •Standard deviation: 13 Pärletun, 79

(13)

Ratio

/

(l

1

/l

2)

Measurements of the

crack width and angle

13 Experiments •Mean angle : 32 •Standard deviation: 12 Simulation •Mean angle : 47 •Standard deviation: 9 Pärletun, 79

(14)

14

Conclusion

Stress corrosion can be modelled as a moving boundary problem.

Crack growth and crack path criteria are not needed.

Experiment and simulations are consistent:

The crack follows a mode I dominated crack path.

The total width of the crack is the same or slightely larger then before branching.

The angle at witch the crack branches is approximately 150 deg.

The angle dividing the crack branches is approximately 40 deg.

Neither in the experiments nor in the simulations it was

References

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