VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1200-1206.

VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

宋彦琦, 陈至达

Mechanics Department, China University of Mining and Technology, Beijing Campus, Beijing 100083, P. R. China

收稿日期:1999-07-09 出版日期:1999-11-18 发布日期:1999-11-18
基金资助:
the National Natural Science Foundation of China(19672023)

VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

Song Yanqi, Chen Zhida

Mechanics Department, China University of Mining and Technology, Beijing Campus, Beijing 100083, P. R. China

Received:1999-07-09 Online:1999-11-18 Published:1999-11-18
Supported by:
the National Natural Science Foundation of China(19672023)

摘要/Abstract

摘要： In this paper, based on the finite deformation S-R decomposition theorem, the definition of the body moment is renewed as the sum of its internal and external. The expression of the increment rate of the deformation energy is derived and the physical meaning is clarified. The power variational principle and the complementary power variational principle for finite deformation mechanics are supplemented and perfected.

关键词: body moment, deformation energy, finite deformation, variation principle

Abstract: In this paper, based on the finite deformation S-R decomposition theorem, the definition of the body moment is renewed as the sum of its internal and external. The expression of the increment rate of the deformation energy is derived and the physical meaning is clarified. The power variational principle and the complementary power variational principle for finite deformation mechanics are supplemented and perfected.

Key words: body moment, deformation energy, finite deformation, variation principle

中图分类号:

O313.2

宋彦琦;陈至达. VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(11): 1200-1206.

Song Yanqi;Chen Zhida. VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(11): 1200-1206.

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VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

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