Modeling of a curvilinear planar crack with a curvature-dependent surface tension

Mathematics – Analysis of PDEs

Scientific paper

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19 pages, 9 figures

Scientific paper

In this paper, 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.

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