Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning

Abstract This paper presents an effective numerical approach for dynamic brittle crack growth problems implemented on singular edge-based smoothed finite element method (sES-FEM). Both the consistent and lumped mass matrices are developed for five-node crack-tip elements for dynamic cases and their effects are compared on the numerical results. Further, to minimize the energy introduced or dissipated during continuous mesh rezoning, a balance recovery method is utilized in the computation. The interaction integral method is used to evaluate mixed dynamic stress intensity factors. Several numerical examples are presented to demonstrate the accuracy and applicability of the present approach in modeling dynamic crack propagation. The numerical results are examined in detail by comparisons with analytical solutions or experimental results, which shows the effectiveness of present method.

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