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

被引：1

作者：

戴天民

机构：

[1] Liaoning University Shenyang 110036

[2] Department of Mathematics & Center for the Application of Mathematics

[3] P.R.China

来源：

Applied Mathematics and Mechanics(English Edition) | 2003年 / 12期

关键词：

coupled; equation of motion; bundary condition; energy rate; incremental rate type; micropolar continua;

D O I：

暂无

中图分类号：

O33 [连续介质力学（变形体力学）];

学科分类号：

080102 ;

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.

引用

页码：1375 / 1380

页数：6

共 42 条

[31] Renewal of basic laws and principles for polar continuum theories (II) — Micromorphic continuum theory and couple stress theory
Dai Tian-min
Applied Mathematics and Mechanics, 2003, 24 (10) : 1126 - 1133
[32] RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CON-TINUUM THEORIES (Ⅱ)—MICROMORPHIC CONTINUUM THEORY AND COUPLE STRESS THEORY
戴天民
Applied Mathematics and Mechanics(English Edition), 2003, (10) : 1126 - 1133
[33] On basic laws and principles for continuum field theories
Dai, TM
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 29 - 41
[34] NEW PRINCIPLES OF POWER AND ENERGY RATE OF INCREMENTAL RATE TYPE FOR GENERALIZED CONTINUUM FIELD THEORIES
戴天民
AppliedMathematicsandMechanics(EnglishEdition), 2001, (12) : 1383 - 1389
[35] New principles of power and energy rate of incremental rate type for generalized continuum field theories
Dai, TM
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (12) : 1383 - 1389
[36] New Principles of Power and Energy Rate of Incremental Rate Type for Generalized Continuum Field Theories
Tian-min Dai
Applied Mathematics and Mechanics, 2001, 22 : 1383 - 1389
[37] Equations of motion and boundary conditions of incremental rate type for polar continua
Dai, TM
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (03) : 249 - 254
[38] EQUATIONS OF MOTION AND BOUNDARY CONDITIONS OF INCREMENTAL RATE TYPE FOR POLAR CONTINUA
戴天民
AppliedMathematicsandMechanics(EnglishEdition), 2000, (03) : 249 - 254
[39] Equations of motion and boundary conditions of incremental rate type for polar continua
Tianmin D.
Applied Mathematics and Mechanics, 2000, 21 (3) : 249 - 254
[40] New laws and principles for continuum mechanics - Part II. Energy rate and power
Dai, TM
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 210 - 212

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