不均質材料の弾性変形における変形拘束の解析

概要

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In the elastic deformation of inhomogeneous materials such as polycrystals, the deformation behavior is affected by the mutual constraint of deformation at the boundary. In the present study, starting from the well-known constant stress model and the constant strain model, the effects of the boundary angle and Poisson's ratio are studied, where a model of inhomogeneous material composed of two grains having inclined boundary is adopted. Next, a new model of inhomogeneous material called “modified constant stress model” is introduced, in which the deformation is constrained at the boundary between two different materials. Especially, the effect of constraint of strain along the boundary inclined to the direction of applied stress is discussed. The problem is also numerically analyzed with the elastic finite element method and the two-dimensional model of inhomogeneous material having the inclined boundary. The results of numerical calculation are compared with the analytical results adopting the parameter representing deformation mode which is called “constraint ratio”.
津山工業高等専門学校の論文