2011/10/26 by A. Piccolroaz, Piccolroaz, A., G. Mishuris +8
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Contact Mechanics and Variational Inequalities #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Mechanical Behavior of Composites #Numerical methods in engineering #cond-mat.mtrl-sci #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1110.5836
8 pages; 7 figures
arxiv created 2011/10/26 · openalex publication_date 2011/10/26 · arxiv updated 2011/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the quasi-static propagation of a Mode III crack along the interface in a bimaterial plane containing a finite array of small line defects (microcracks and rigid line inclusions). The microdefects are arranged to form a channel around the interface that can facilitate (or prevent) the crack propagation. The two dissimilar elastic materials are assumed to be weakly bonded, so that there is no kinking of the main crack from the straight path. On the basis of asymptotic formulae obtained by the authors, the propagation is analysed as a perturbation problem and the incremental crack advance is analytically derived at each position of the crack tip along the interface relative to the position of the defects. Numerical examples are provided showing potential applications of the proposed approach in the analysis of failure of composite materials. Extension to the case of infinite number of defects is discussed.