132 き裂問題への Mori-Tanaka の定理の拡張 : 第一報配向したスリットき裂を含む材料の巨視的弾性係数

概要

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The differential equation for the macroscopic total strain of a material with respect to the crack density of the crack is derived by adopting the concept of the differential scheme when a infinitesimally small amount of slit-like crack is introduced to the matrix of the material containing many aligned slit-like cracks. By solving this differential equation, the macroscopic total strain, the average interaction stress and hence the macroscopic elastic moduli are formulated as a function of the crack density of the crack. On the contrary to the results obtained by the ordinary Mori-Tanaka's thorem, the resulting macroscopic elastic modulus asymptotically tends to zero as the crack density of the crack increases. The present result is good agreement with the numerical results given by Huang et al. especially at relatively low crack density.
社団法人日本機械学会の論文
2002-10-10