RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CON-TINUUM THEORIES (Ⅱ)—MICROMORPHIC CONTINUUM THEORY AND COUPLE STRESS THEORY  

作　　者：戴天民 

机构地区：[1]Department of Mathematics and Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P.R.China Contributed by DAI Tian_min, Original Member of Editorial Committee, AMM

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第10期1126-1133,共8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 reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theory. The desired results for micromorphic continuum mechanics and couple stress theory are naturally obtained via direct transitions and reductions from the coupled conservation law of energy for micropolar continuum theory, respectively. The basic balance laws and equations for micromorphic continuum mechanics and couple stress theory are constituted by combining these results derived here and the traditional conservation laws and equations of mass and microinertia and the entropy inequality. The incomplete degrees of the former related continuum theories are clarified. Finally, some special cases are conveniently derived.The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theory. The desired results for micromorphic continuum mechanics and couple stress theory are naturally obtained via direct transitions and reductions from the coupled conservation law of energy for micropolar continuum theory, respectively. The basic balance laws and equations for micromorphic continuum mechanics and couple stress theory are constituted by combining these results derived here and the traditional conservation laws and equations of mass and microinertia and the entropy inequality. The incomplete degrees of the former related continuum theories are clarified. Finally, some special cases are conveniently derived.

关 键 词：micromorphic continuum couple stress theory COUPLED basic balance law balance equation 

分 类 号：O33[理学—一般力学与力学基础]