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• W2049756998 abstract "An approach to modeling fracture incorporating interfacial mechanics is applied to the example of a curvilinear plane strain crack. The classical Neumann boundary condition is augmented with curvature-dependent surface tension. It is shown that the considered model eliminates the integrable crack-tip stress and strain singularities of order $1/2$ present in the classical linear fracture mechanics solutions, and also leads to the sharp crack opening that is consistent with empirical observations. Unlike for the case of a straight crack, for a general curvilinear crack some components of the stresses and the derivatives of the displacements may still possess weaker singularities of a logarithmic type. Generalizations of the present study that lead to complete removal of all crack-tip singularities, including logarithmic, are the subject of a future paper." @default.
• W2049756998 created "2016-06-24" @default.
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• W2049756998 date "2012-01-01" @default.
• W2049756998 modified "2023-09-30" @default.
• W2049756998 title "Modeling of a Curvilinear Planar Crack with a Curvature-Dependent Surface Tension" @default.
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• W2049756998 doi "https://doi.org/10.1137/110860100" @default.
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