一般化されたCauchyの関係式の原子運動に基づく導出

概要

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Microscopic expressions of generalized Cauchy's relations for higher-order stresses and heat flux are disscused on the basis of the equation of motion of atom. A macroscopic solid is modeled as an assembly of atoms, and the concept of the mesodomain is introduced in order to describe macroscopic quantities with microscopic motions of atoms. Furthermore, a mesoscopic tetrahedral element which is composed of a number of atoms is introduced in the mesodomain. Higher-order moments such as bimoment do not satisfy the equilibrium of the tetrahedron. The microscopic expression of generalized Cauchy's relation for the higher-order stresses can be derived from the first-order tensor product of equation of motion of the atom and position vector. On the other hand, the microscopic description of generalized Cauchy's relation for the heat flux can also be obtained from the summation of higher -order tensor product of motion of atom and position vectors.
社団法人日本機械学会の論文
2001-02-25