406 有限要素法による粒子分散複合材料の等価弾性係数の新しい評価法(計算力学と数値シミュレーション)

抄録

In this paper a new evaluation method of the effective elastic moduli for heterogeneous materials composed of isotropic constituent materials is presented. The effective elastic constants can be obtained to make two matrices numerically equal. One is the standard global stiffness matrix and the other is the stiffness matrix multiplied by an effective modulus, Young's modulus, shear and bulk modules, Lame's constants. The results of Finite Element analysis show good agreement with the analytical upper bound values by the Paul's method with an application of the principle of minimum potential energy.