メッシュフリー体積力法による三次元き裂解析

抄録

Body force method(BFM) is a boundary type method for elastic stress analysis devel-oped in 1967 by late Prof. Nisitani. Especially for notch and crack problems, it gives practically exact solutions in both 2D and 3D problems. However, it is not easy to analyze 3D problems with curved boundaries and 3D crack propagation using boundary type stress analysis methods such as BFM. Therefore, mesh-free body force method(MFBFM) was developed by using the moving least square strategy for the approximation of unknown weight function. This method has special potential for treating a complex-shaped 3D crack problems which is difficult to treat in usual element based analysis. In the present research, we apply the mesh-free body force method to analyze stress intensity factors for arbitrary shaped planar cracks that lie on different planes. The analyzed SIF of two parallel penny-shaped cracks under remote tension using MFBFM agree well with results of Isida et. al. and Abdul et. al.