不同模量壳体理论广义弹性定律的普遍表达式

本文研究了拉伸和压缩不同模量材料制成的壳体弱矩理论的本构关系,导出了广义弹性定律的普遍表达式,即中曲面法向坐标的各任意幂次项系数的公式,并指出文献[1]中最终公式保留的线性项,仅为本文普遍表达式的一个较简单的特殊情形,因此,可以不顾文献[1]中关于应力沿壳厚按线性规律变化的基本假设。

On the General Expression of the Generalized Elastic Law for Shell''s Theory Fabricated with Different Moduli Materials

In this paper, the constitutive relation in the shell's weak moment theory fabricated with different moduli materials by tension and compression is investigated. the general expression of the generalized elastic law i. e. the formula of arbitrary exponential term factor of normal coordinates on the neutral curve surface is derived. It also indicates the preserved linear term conclusion of final formula in Ref [1]is comparatively only a sinlple special case presented in general expression here, thus regardless of the fundamental assumption of stress which follows the linear variation along the thickness of shell in Ref[1], it is certainly allowable.