原子配列を考慮した極性体モデルに対する力学的釣合い方程式

概要

論文の詳細を見る
In the previous papers, the authors proposed the concept of the mesodomain which connects microscopic kinematic quantities and macroscopic mechanical ones using an assumption of constrained gradient. However, stress and higher-order stresses obtained from the discussions are not defined as area averages but only as volume averages. In the present paper, mechanical balance equations in the mesodomains are derived based on the conservation law of an atom without the above assumption. Solids are modeled as spring-particle systems in the mesodomains. The averaged values of microscopic quantities over the domain are associated with the center of mass, and macroscopic mechanical balance equations are obtained using these averaged values. Since this model can be regarded as micromorphic continua, we can express Cauchy stress, volume-averaged stress and higher-order stress with microscopic quantities.
社団法人日本機械学会の論文
1997-05-25