RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅶ)—INCREMENTAL RATE TYPE  

作　　者：戴天民 

机构地区：[1]Department of Mathematics & Center for the Application of Mathematics, Liaoning University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第12期1375-1380,共6页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 0 0 72 0 2 4) ;theResearchFoundationofLiaoningEducationCommittee (990 1 1 1 0 0 1 )

摘　　要：The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case.The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case.

关 键 词：coupled equation of motion bundary condition energy rate incremental rate type micropolar continua 

分 类 号：O33[理学—一般力学与力学基础]