NEW CONSERVATION LAWS OF ENERGY AND C-D INEQUALITIES IN CONTINUA WITHOUT MICROSTRUCTURE

NEW CONSERVATION LAWS OF ENERGY AND C-D INEQUALITIES IN CONTINUA WITHOUT MICROSTRUCTURE

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摘要 Fundamental laws and balance equations as well as C-D inequalities in continuum mechanics are carefully restudied, incompleteness of existing balance laws of angular momentum and conservation laws of energy as well as C-D inequalities are pointed out, and finally new and more general conservation laws of energy and corresponding balance equations of energy as well as C-D inequalities in local and nonlocal asymmetric continua are presented. Fundamental laws and balance equations as well as C-D inequalities in continuum mechanics are carefully restudied, incompleteness of existing balance laws of angular momentum and conservation laws of energy as well as C-D inequalities are pointed out, and finally new and more general conservation laws of energy and corresponding balance equations of energy as well as C-D inequalities in local and nonlocal asymmetric continua are presented.

作者 DAI Tian-min(戴天民)

机构地区 Center for the Application of Mathematics and Department of Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第2期127-134,共8页 应用数学和力学（英文版）

基金 theNationalNaturalScienceFoundationofChina( 1 9672 0 2 3 ) theFundamen talResearch (ClassA)oftheEducationCommitteeofLiaoningP

关键词 local asymmetric nonlocal asymmetric continuum mechanics conservation laws of energy balance equations of energy C-D inequalities local asymmetric nonlocal asymmetric continuum mechanics conservation laws of energy balance equations of energy C-D inequalities

分类号 O313.2 [理学—一般力学与力学基础]

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参考文献4

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二级参考文献13

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共引文献8

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6戴天民.不带微结构的连续统中新的能量守恒定律和C-D不等式[J].应用数学和力学,2001,22(2):111-118. 被引量：4
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1DAI,Tian-min(戴天民).NEW CONSERVATION LAWS OF ENERGY AND C-D INEQUALITIES IN CONTINUA WITH MICROSTRUCTURE[J].Applied Mathematics and Mechanics(English Edition),2001,22(2):135-143.
2戴天民.EQUATIONS OF MOTION AND BOUNDARY CONDITIONS OF INCREMENTAL RATE TYPE FOR POLAR CONTINUA[J].Applied Mathematics and Mechanics(English Edition),2000,21(3):249-254. 被引量：1
3DAI,Tian-min(戴天民).NEW PRINCIPLES OF WORK AND ENERGY AS WELLAS POWER AND ENERGY RATE FORCONTINUUM FIELD THEORIES[J].Applied Mathematics and Mechanics(English Edition),2001,22(11):1231-1239. 被引量：3
4戴天民,宋彦琦.DYNAMICAL EQUATIONS FOR POLAR CONTINUA IN ORTHOGONAL CURVILINEAR COORDINATES[J].Applied Mathematics and Mechanics(English Edition),1999,20(5):3-6.
5Xie Quan FAN Guan Tie DENG.Incompleteness of Complex Exponential System in L_α~p Space[J].Journal of Mathematical Research and Exposition,2010,30(6):1078-1082.
6戴天民.RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅸ)—THERMOMECHANICS[J].Applied Mathematics and Mechanics(English Edition),2005,26(6):709-715. 被引量：3
7戴天民.Three systems of balance equations and jump conditions for nonlocal polar thermomechanical continua[J].Science China Mathematics,1998,41(2):211-215. 被引量：2
8DAI,Tian-min(戴天民).RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA (Ⅱ)-THERMOPIEZOELECTRICITY AND MAGNETOTHERMOELASTICITY[J].Applied Mathematics and Mechanics(English Edition),2002,23(3):249-258. 被引量：1
9DAI,Tian-min(戴天民).NEW PRINCIPLES OF POWER AND ENERGY RATE OF INCREMENTAL RATE TYPE FOR GENERALIZED CONTINUUM FIELD THEORIES[J].Applied Mathematics and Mechanics(English Edition),2001,22(12):1383-1389.
10戴天民.RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅶ)—INCREMENTAL RATE TYPE[J].Applied Mathematics and Mechanics(English Edition),2003,24(12):1375-1380.

Applied Mathematics and Mechanics(English Edition)

2001年第2期

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NEW CONSERVATION LAWS OF ENERGY AND C-D INEQUALITIES IN CONTINUA WITHOUT MICROSTRUCTURE

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