き裂問題へのMori-Tanakaの定理の拡張 : 第1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

論文の詳細を見る
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 thorem, the resulting macroscopic elastic moduli asymptotically tend to zero as the crack density of the crack increases. The present results have the same degree of accuracy with the self-consistent method and are good agreement with the numerical results given by Huang et al. especially at relatively low crack density. The volume fraction of the aligned slit-like cracks in physical meaning is obtained by comparing the resulting interaction stress with that derived from the Mori-Tanaka theorem.
社団法人日本機械学会の論文
2004-05-25