REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS

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

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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

Abstract

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

Nie Yi-yong . REPRESENTING GENERAL SOLUTION OF EQUATIONS IN THEORY OF ELASTICITYBY HARMONIC FUNCTIONS. 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

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