REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (2): 171-176.

REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

聂义勇

Shenyang Institute of Computing Technology, Academia Sinica, Shenyang

收稿日期:1984-12-19 出版日期:1986-02-18 发布日期:1986-02-18

REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

Nie Yi-yong

Shenyang Institute of Computing Technology, Academia Sinica, Shenyang

Received:1984-12-19 Online:1986-02-18 Published:1986-02-18

摘要/Abstract

摘要： The general solution of the equations in the theory of elasticity is represented by seven harmonic functions, where there are only three harmonic functions independent of each other and every one of them has certain mechanics meaning. The examples applying the general solution to solve several simple inverse problems in elastostatics are presented.

关键词: state constraint, variational inequality, discontinuous and nonmonotone nonlinear multivalued mapping, optimal control

Abstract: The general solution of the equations in the theory of elasticity is represented by seven harmonic functions, where there are only three harmonic functions independent of each other and every one of them has certain mechanics meaning. The examples applying the general solution to solve several simple inverse problems in elastostatics are presented.

Key words: state constraint, variational inequality, discontinuous and nonmonotone nonlinear multivalued mapping, optimal control

聂义勇. REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(2): 171-176.

Nie Yi-yong . REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(2): 171-176.

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REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

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