種々の一般化された連続体力学理論の相互関連についての一考察

概要

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The purpose of this paper is to explain the relations of the generalized continuum mechanics such as the indeterminate couple-stress theory, the micropolar theory, the micromorphic theory and the micro-structure theory. The conventional cosserat equations defined by vector product give the equilibrium equations for the indeterminate couple-stress theory and the micropolar theory, but not for more general theories such as the micromorphic theory and the micro-structure theory. Therefor, the conventional cosserat equations are rewrite by tensor product, and the meaning of them is expanded. The relations of the generalized continuum mechanics are clarified by using of these cosserat equations. By assuming of the existence of the strain energy function, the relations of stresses in each theories are clarified, and it is shown that the equilibrium equations of the micro-structure theory and these of the micromorphic theory agree precisely.
社団法人日本建築学会の論文
1974-01-30