Kinked and forked crack arrays in anisotropic elastic bimaterials

نویسندگان

چکیده

The fracture problem of multiple branched crack arrays in anisotropic bimaterials is formulated by use the Stroh formalism to linear elasticity theory dislocations. general full-field solutions are obtained from standard technique continuously distributed dislocations along finite-sized cracks arbitrary shapes, which embedded dissimilar half-spaces under far-field stress loading conditions. bimaterial boundary-value leads a set coupled integral equations Cauchy-type that numerically solved using Gauss–Chebyshev quadrature scheme with appropriate boundary conditions for kinked and forked arrays. path-independent Jk-integrals as propagation criterion therefore evaluated equally-spaced cracks, while limiting configuration individual theoretically described means explicit expressions local intensity factors K validation comparison purposes on several geometries. short-range interactions resulting idealized configurations infinitely periodic investigated well various size- heterogeneity-effects mixed-mode complex stress-state environments. influences elasticity, elastic mismatch, applied direction, inter-crack spacings length ratios predictions Jk- K-based criteria examined light different single case homogeneous media network closely-spaced presence interfaces.

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ژورنال

عنوان ژورنال: Journal of The Mechanics and Physics of Solids

سال: 2022

ISSN: ['0022-5096', '1873-4782']

DOI: https://doi.org/10.1016/j.jmps.2021.104744