X-FEM による弾性解析の精度についての検討

概要

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X-FEM proposed by Belytschko et al. uses interpolation functions, which can consider singularity and discontinuity of displacement fields near cracks without complex meshes. This method enables to evaluate stress intensity factors (SIF) and solve crack growth problems efficiently in the area of fracture mechanics. This paper describes the calculation condition such as a numerical integration method, nodal properties and etc. to obtain appropriate solutions for two-dimensional elastic problems. Also the method combining X-FEM with the virtual crack extension method is proposed and applied to evaluation of SIF. It was shown that X-FEM with appropriate calculation conditions can perform stress and eigenvalue analysis for structures containing cracks more easily than conventional FEM.
一般社団法人日本機械学会の論文
2001-10-25