Mathematics – Analysis of PDEs
Scientific paper
2011-12-22
Mathematics
Analysis of PDEs
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.
Walton James Richmond
Zemlyanova A. Y.
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