13th International Conference on Fracture June 16–21, 2013, Beijing, China -1- Analysis of stress singularity field near the cross point of inclusion and free surface by 3D element free Galerkin method （Influence of radius of curvature at vertex for stress singularity field） Takahiko Kurahashi1,*, Yasuyuki Tsukada2, Hideo Koguchi2 1 Department of Mechanical Engineering, Nagaoka National Courage of Technology, 888 Nishikatakai, Nagaoka, Niigata 940-8532, Japan 2 Department of Mechanical Engineering , Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata 940-2188, Japan * Corresponding author: kurahashi@nagaoka-ct.ac.jp Abstract In this report, we investigate variation of stress distribution and intensity of stress singularity near the cross point of inclusion and free surface based on 3D element free Galerkin method (EFGM). We especially focus on influence of radius of curvature at vertex for stress singularity field. As for computational model, silicon and resin bonded structure is employed. Keywords Stress distribution, Intensity of stress singularity, 3D EFGM, Radius of curvature at vertex 1. Introduction Intensity of stress singularity near interface edge for bonded structures is investigated by a lot of researchers [1], [2]. Variation of intensity of stress singularity with respect to thickness of adhesive layer, interface width, slanted side surface have already investigated. As for the computational methods, the boundary element method (BEM) and the finite element method (FEM) are frequently used to compute stress distribution. In addition, the element free Galerkin method (EFGM) is also recently employed for stress analysis[3]. In this study, the EFGM is employed in stress analysis for bonded structures. In addition, eigen analysis based on the FEM is carried out to obtain order of stress singularity[4]. As the computational model, a structure made by resin with silicon plate inclusion is employed. We especially focus on influence of radius of curvature at vertex for stress singularity field in this study(See Fig.1). Contents of investigations 1) Influence of radius of curvature for intensity of stress singularity 2) Influence of Young’s modulus of resin for intensity of stress singularity Bonded structure model with radius of curvature at vertex of inclusion Silicon Resin Figure 1. Image diagram of target model
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