LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (8): 713-720.

LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

赵玉祥, 顾祥珍, 宋熙太

Luoyang Institute of Hydraulic Engineering, Luoyang, He'nan

收稿日期:1992-01-09 出版日期:1993-08-18 发布日期:1993-08-18

LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

Zhao Yu-xiang, Gu Xiang-zhen, Song Xi-tai

Luoyang Institute of Hydraulic Engineering, Luoyang, He'nan

Received:1992-01-09 Online:1993-08-18 Published:1993-08-18

摘要/Abstract

摘要： In this paper, based on the mathematical theory of classical mechanics and Chen's theorem^[1], the variational method^[2] is used in the study of large deformation symmetrical elasticity problems.The generalized variational principles of potential energy and complementary energy, based on the instantaneous configuration are obtained, and the equivalence between the two principles is proved Besides, the generalized variational principles of dynamical problems based on the instantaneous configuration are also given.

关键词: dynamics, large deformation, independent function, generalized variational principle

Abstract: In this paper, based on the mathematical theory of classical mechanics and Chen's theorem^[1], the variational method^[2] is used in the study of large deformation symmetrical elasticity problems.The generalized variational principles of potential energy and complementary energy, based on the instantaneous configuration are obtained, and the equivalence between the two principles is proved Besides, the generalized variational principles of dynamical problems based on the instantaneous configuration are also given.

Key words: dynamics, large deformation, independent function, generalized variational principle

赵玉祥;顾祥珍;宋熙太 . LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(8): 713-720.

Zhao Yu-xiang;Gu Xiang-zhen;Song Xi-tai. LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(8): 713-720.

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LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

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