NEW PRINCIPLES OF POWER AND ENERGY RATE OF INCREMENTAL RATE TYPE FOR GENERALIZED CONTINUUM FIELD THEORIES  

作　　者：DAI Tian-min(戴天民) 

机构地区：[1]Center for the Application of Mathematics and Depertment of Mathematics,Liaoning University, Shenyang 110036, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第12期1383-1389,共7页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina( 1 9672 0 2 3 ) ;theInternation alCooperationProjectofNSFC( 1 0 0 1 1 1 3 0 2 3 5)andDFG( 51 52 0 0 0 1 ) ;theResearchFoundationofLiaoningEducationCommittee( 990 1 1 1 0 0 1 )

摘　　要：The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics BY combining new principles of virtual velocity and virtual angular velocity as well as of virtual stress anti virtual couple stress with c ross terms of incremental rate type a new principle of power anti energy rate of incremental rate type with cross terms for micropolar continuum field theories is presented and from it all corresponding equations of motion and boundary conditions as well as power and energy rate equations of incremental rate type for micropolar and nonlocal micropolar continua with the help of generalized Piola's theorems in all and without any additional requirement are derived. Complete results for micromorphic continua could be similarly derived. The derived results in the present paper are believed to be new. They could be used to establish corresponding finite element methods of incremental rate type for generalized continuum mechanics.The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics BY combining new principles of virtual velocity and virtual angular velocity as well as of virtual stress anti virtual couple stress with c ross terms of incremental rate type a new principle of power anti energy rate of incremental rate type with cross terms for micropolar continuum field theories is presented and from it all corresponding equations of motion and boundary conditions as well as power and energy rate equations of incremental rate type for micropolar and nonlocal micropolar continua with the help of generalized Piola's theorems in all and without any additional requirement are derived. Complete results for micromorphic continua could be similarly derived. The derived results in the present paper are believed to be new. They could be used to establish corresponding finite element methods of incremental rate type for generalized continuum mechanics.

关 键 词：generalized continua incremental rate type principles of power and energy rate generalized Piola's theorem 

分 类 号：O33[理学—一般力学与力学基础]