Section 7
On the assessment of cracks within the interface of thin layers on a substrate
Article first published online: 24 NOV 2004
DOI: 10.1002/pamm.200410125
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Müller, A., Goswami, S., Hohe, J. and Becker, W. (2004), On the assessment of cracks within the interface of thin layers on a substrate. Proc. Appl. Math. Mech., 4: 288–289. doi: 10.1002/pamm.200410125
Publication History
- Issue published online: 24 NOV 2004
- Article first published online: 24 NOV 2004
- Abstract
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Abstract
Although bimaterial wedge or notch configurations are identified as potential weak locations, the assessment of the degree of criticality of cracks in such regions is still a demanding problem. The singular character of the stress field at cracks or at bimaterial notches can be calculated analytically or numerically. The angle of the direction of potential crack initiation may also be determined, but the decisive question is whether a hypothetical crack will be initiated or not.
An essential question in the context of crack assessment is to find a criterion for crack nucleation. For that aim, the hypothesis of Leguillon is modified. Herein, the crack is assumed to be critical when and only when both the released energy and the local stress reach critical values along a hypothetical crack of finite length. This concept can be transferred to a bimaterial interface configuration of a thin layer on a substrate. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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