摘要
本文详细研究了重力作用下圆锥的位移和应力分布。指出在直线型各向异性体中的应力分布与各向同性体是一样的,即应力与弹性常数无关。而曲线型各向异性体的应力分布则与弹性常数有关。利用文[8]的研究结果,本文给出了自重作用下球面各向同性圆锥拉伸(或压缩)和弯曲问题的解。
In the paper,the displacement and stress distributions in a cone under self-weight are studied in detail. It is pointed out that the stress distribution in the restlinearly anisotropic bodies is identical to that in the isotropic bodies,i. e. ,the stresses are independent of the elastic constants ,while in the curve-linearly anisotropic bodies the stresses sre relevent to the elastic constants . Based on the conclutions if Ref. [8] ,The solutions of displacements and stresses for a spherically isotropic cone under self-weight in tension (or compression) and bending are given, respectively.
关键词
各向异性
圆锥
弹性力学
重力
anisotropy, spherically isotropy ,cone,elasticity