点対称内部分布を有する周期複合材料の均質化理論における境界条件および弾-粘塑性解析への適用

概要

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The homogenization theory for time-dependent nonlinear composites with periodic internal distributions developed by the present authors is rebuilt by taking notice that micro-stress and micro-strain may distribute point-symmetrically in unit cells in periodic composites.It is pointed out that the field of perturbed velocity may satisfy the symmetry with respect to the cell center and facet centers of a unit cell.The symmetry is then used for imposing the boundary condition on perturbed velocity and for developing the theory in an integral form in which a half region of the unit cell is taken as the domain of analysis.As applications of the theory, elastic-viscoplastic elongation of unidirectional composites is analyzed by assuming the square and hexagonal arrays of fibers subjected to either transverse or off-axial loading.It is thus shown that the point-symmetry can be used for computing efficiently the inelastic behavior of nonlinear, periodic composites.
一般社団法人日本機械学会の論文
2000-01-25