Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1563515 | Computational Materials Science | 2009 | 7 Pages |
Abstract
For direct insight into the stress concentration rule, stress-based boundary conditions are most appropriate. In this framework, the dilute and Mori–Tanaka estimates are shown to be identical for frictionless closed cracks. This extends a result already known for of opened cracks. The link with strain-based homogenization is also provided. In order to take into account the effects of the spatial distribution of cracks, a stress-based lower bound of the effective compliance dual of the strain-based upper bound of the stiffness proposed in [9] is derived. Illustrations for parallel closed cracks are presented.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
L. Dormieux, D. Kondo,