Elastic compliances of non-flat cracks

Cracks of non-flat geometries are common in materials science applications. Their effect on the overall elastic properties is addressed. Applications of Rice’s [Rice, J.R., 1975. Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms. In: Argon, A. (Ed....

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Bibliographic Details
Published in:International journal of solids and structures 2007-10, Vol.44 (20), p.6412-6427
Main Authors: Mear, Mark E., Sevostianov, Igor, Kachanov, Mark
Format: Article
Language:English
Subjects:
Compliance
Crack
Effective elastic properties
Non-flat
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Summary:Cracks of non-flat geometries are common in materials science applications. Their effect on the overall elastic properties is addressed. Applications of Rice’s [Rice, J.R., 1975. Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms. In: Argon, A. (Ed.), Constitutive Equations in Plasticity, MIT Press, pp. 23–75.] theorem that, in particular, relates stress intensity factors to crack compliances, are discussed and illustrated by a 2-D example of a circular arc crack. Then we conduct computational studies of several non-flat patterns and suggest a simple approximation for compliances of non-flat cracks. Implications for anisotropy due to non-random orientation distributions of cracks of non-flat geometries are discussed.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2007.02.034