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基于水平集算法的扩展比例边界有限元法研究

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Indexed by:期刊论文

Date of Publication:2022-06-28

Journal:工程力学

Affiliation of Author(s):建设工程学部

Volume:33

Issue:8

Page Number:8-14

ISSN No.:1000-4750

Abstract:In the extended scaled boundary finite element method (X-SBFEM), the
   Heaviside enrichment is used to represent the jump across the
   discontinuity surface in split element while the nonsmooth behavior
   around the crack tip is described by the semi-analytical SBFEM. This
   method does not require a priori knowledge of the asymptotic fields. It
   also does not require special numerical integration technique so that
   the stiffness of the region containing the crack tip is computed
   directly, while the generalized stress intensity factors of many kinds
   of singularities could be obtained directly from definition by the
   consistent formula. In this paper, the X-SBFEM is combined with the
   level set method so that it can be applied to solve the problem of crack
   propagation. During its numerical evaluation, the three-point bending
   specimen and the four-point shear specimen is modeled by a complete
   MATLAB code. The results show that the X-SBFEM is capable of predicting
   crack trajectories and load-displacement relations accurately. Based on
   the sensitivity analysis of parameters, it was found that different mesh
   densities and crack propagation lengths led to consistent results.

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