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.


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


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