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Effective stiffness of a periodically cracked 3-D solid

โœ Scribed by N. Fares

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
653 KB
Volume
62
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

This paper studies the effective elastic stiffness of 3-D periodically cracked solids. A direct approach is used to solve the transition problem to obtain the effective stiffness from the details of the microstructure. A specific class of periodically cracked solids is then considered. The crack opening volume for these periodic configurations were obtained using a specialized Boundary Element Method (BEM). The BEM involves special techniques for evaluating finite-part integrals and for approximating the periodic Green function. Finally, results for the effective stiffness of particular configurations of periodically cracked 3-D solids are presented and compared with approximate methods. These results indicate that, in general, the crack density parameter is not sufficient to characterize a damaged solid.

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