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- W44804920 abstract "Asymptotic analysis is developed for the problem of a plane strain crack lying on the interface of an elastic-plastic (or elastic-creeping) material and a rigid substrate. The nonlinear plastic (creep) response is taken to follow a power-law hardening relation. In contrast to other recent analyses, we have found asymptotic solutions for a continuous variation of crack-tip mode-mix that agree well with full-field solutions. These crack-tip displacements and stresses are variable-separable in polar coordinates r and θ and exhibit a singularity in stress of σ ∝ r -1/(n+1) as r → 0, where n is the hardening exponent. The angular variations of these asymptotic fields have been calculated using a finite difference scheme. Unlike the full range of mixed-mode solutions that exist for a homogeneous crack in a power-law hardening material, there appears to be a narrow range around the pure tensile mode for which solutions do not exist. That latter range increases somewhat as the hardening exponent n increases.KeywordsSingular Value DecompositionAsymptotic SolutionInterfacial CrackRigid SubstrateBimaterial InterfaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W44804920 date "1997-01-01" @default.
- W44804920 modified "2023-09-25" @default.
- W44804920 title "Nonlinear Analysis of Interfacial Cracks" @default.
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- W44804920 doi "https://doi.org/10.1007/978-94-011-5642-4_32" @default.
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