三次元異材接合体の角部における熱残留応力の特異場の特性

概要

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A mismatch of material properties may cause stress singularity, which lead to failures of bonding part in joints. The stress singularity of thermal residual stresses occurs in a cooling process after bonding the joints at a high temperature. In the present paper, boundary element method and an eigen value analysis based on finite element method are used for evaluating the intensity of singularity for residual thermal stresses at a vertex in three-dimensional joints. Three-dimensional boundary element program based on the fundamental solution for two-phase isotropic body is used for calculating the stress distribution in a three-dimensional joint. Angular function in the singular stress field at the vertex in the tree-dimensional joint is calculated using eigen vector determined from the eigen analysis. The distribution of angular function of stress components is well agreed with and the distribution of residual thermal stresses. Furthermore, the angular function for σ_<θθ> has a singularity at the cross points of the interface and side free surfaces. In the present paper, the intensity of singularity at the vertex in three-dimensional joints is determined using the characteristic of angular function and the coefficient of power law singularity of stress distribution against the distance from the origin of singularity.
社団法人日本機械学会の論文
2008-06-25