DERIVATION OF THE GENERAL FORM OF ELASTICITY TENSOR OF THE TRANSVERSE ISOTROPIC MATERIAL BY TENSOR DERIVATE

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 309-314.

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DERIVATION OF THE GENERAL FORM OF ELASTICITY TENSOR OF THE TRANSVERSE ISOTROPIC MATERIAL BY TENSOR DERIVATE

Chen Weiyi

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received:1997-04-28 Revised:1999-01-07 Online:1999-03-18 Published:1999-03-18

Abstract

Abstract: In the paper the elasticity tensor anti the relation between stress and strain of transverse isotropic material and isotropic material are deduced by tensor derivate. From the derivation the reason why there are two independent elasticity coefficients for isotropic elastic material and five for transverse isotropic elastic material can be seen more clearly.

Key words: tensor, transverse isotropic material, strain energy, elashcity, tensor Derivate

Chen Weiyi. DERIVATION OF THE GENERAL FORM OF ELASTICITY TENSOR OF THE TRANSVERSE ISOTROPIC MATERIAL BY TENSOR DERIVATE. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 309-314.

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DERIVATION OF THE GENERAL FORM OF ELASTICITY TENSOR OF THE TRANSVERSE ISOTROPIC MATERIAL BY TENSOR DERIVATE

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