The Transcendental Equation in the Refined Theory of Transversely Isotropic Elasticity Plate

Abstract

Abstract: Three basic equations on the refined theory of transversely isotropic plate are derived base on Elliott-Lodge solutions and Lure method. The transcendental state is analysed in detail.

Key words: transversely isotropic, plate, Elliott-Lodge solutions, transcendental equation, transcendental stress state

摘要： 根据 Elliott-Lodge 得到了关于横观各向同性材料的位移通解得到横观各向同性板的精化理论的3个基本方程，并着重就超越方程进行分析得到板的超越应力状态的应力分量。

关键词: 横观各向同性, 板, Elliott-Lodge通解, 超越方程, 超越应力状态

CLC Number:

O343

ZHAO Baosheng,WANG Minzhong. The Transcendental Equation in the Refined Theory of Transversely Isotropic Elasticity Plate[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

赵宝生,王敏中. 横观各向同性板精化理论中的超越方程[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2004/V40/I1/37

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The Transcendental Equation in the Refined Theory of Transversely Isotropic Elasticity Plate

横观各向同性板精化理论中的超越方程

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