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Enriched meshfree collocation method with diffuse derivatives for elastic fracture. (English) Zbl 1141.74046

Summary: We present a meshfree collocation method with intrinsic enrichment for solving elastic crack problems. A diffuse derivative approximation is applied in conjunction with an intrinsic enrichment of near-tip asymptotic fields and a polynomial basis. These consistent diffuse derivatives of the approximation do not require computing the derivative of the weight function or that of the moment matrix. The local behavior of near-tip stresses is successfully captured, so that stress intensity factors can be accurately computed. Numerical experiments demonstrate accuracy and robustness of the method for solving elastic fracture problems.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74R10 Brittle fracture
74G70 Stress concentrations, singularities in solid mechanics
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