ウェーブレットガラーキン法を用いた弾塑性破壊力学解析に関する研究

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  • Elastic-plastic fracture mechanics analysis using wavelet Galerkin method

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In this study, elastic-plastic fracture mechanics analysis are carried out for two-dimensional (2D) solids using the wavelet Galerkin method (WGM) and the extended finite element method (X-FEM). In the proposed approach, severe stress concentration near crack tip is approximated by multilevel wavelet basis functions. In addition, discontinuous enrichment functions and tip enrichment functions of the X-FEM are introduced to represent crack geometry in the WGM. To discuss elastic-plastic stress field near crack tip, J-integral and HRR (Hutchinson-Rice-Rosengren) singular stress fields are evaluated. In numerical examples, elastic-plastic fracture mechanics analyses of 2D solids are analyzed to verify the proposed approach, and accuracy of the numerical results is critically examined.

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