境界要素法による粒子分散複合材料の均質化法解析

概要

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In this paper, a formulation for particulate composite materials using the boundary element method (BEM) is presented. The formulation is based on the homogenization method using BEM and the analytical solutions for ellipsoidal inclusions. Green's function approaches for ellipsoidal inclusions can naturally couple with the integral equation formulations since both the methodologies are based on the same analytic solutions, namely Kelvin's solutions. Particles which are contained in particulate composite materials are thus assumed to be ellipsoidal in shape and integrals for the particles are expressed by analytical solutions for ellipsoidal inclusions. The efficiency of numerical analysis is greatly enhanced and there is no numerical error arising from integrals for the particles. Therefore, the accuracy of analysis is also enhanced. Numerical results for a unit cell model containing one particle is presented and compared with those by multi-region BEM analysis and accuracy of present BEM approach is examined. Three unit cell models containing 27, 125 and 1000 particles are then solved and the capability of present approach is demonstrated.
一般社団法人日本機械学会の論文
2002-06-25