横观各向同性弹性层点力解

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Point Force Solution for a Transversely Isotropic Elastic Layer

1.
Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2.
Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

摘要: 本文根据弹性层状结构的传递矩阵法思想,由横观各向同性弹性力学基本方程,导出了含应力和位移两类变量的混合方程,利用Fourier变换和文献[7]的位移函数通解,以及计算机代数软件,得到了横观各向同性层的点力解,这个点力解可直接退化到各同性情形的解。
- 横观各向同性 /
- 弹性层 /
- 点力解 /
- Fourier变换
Abstract: By introduction of transmitting matrices' technique for layered structure,mixed equations with stresses and displacements are derived from the basic equations of transversely isotropic elasticity.Then,using Fourier transformation and the general solutions in Zhou et al.^[7],the point force solution for transversely isotropic elastic layer is obtained and it can be degenerated to the corresponding solution of isotropic medium.In this paper,all equations are derived by the use of computer algebra software.
- transversely isotropy /
- elastic layer /
- point force solution /
- Fourier Transformation

[1]	胡海昌,在体积力作用下横观各向同性弹性体的平衡问题,物理学报,11(1955),219-230,
[2]	Y,C.Pan and T.W,C ho w,Point force solution for an infinite transversely isotropic solids,Journal of Applied Mechanics,43(1976),608-612,
[3]	Y,C,Pan and T,W,Chow,Green's function solution for semi-infinite transversely isotropic solids,International Journal of E ngineering Scienee,17(1979),545-551,
[4]	Y,C,Pan and T,W,Chow,Green's functions for two-phase transversely isotropic materials,Journal of Applied Mechanics,46(1979),551一555,
[5]	丁皓江、徐兴,横观各向同性弹性层的平衡,浙江大学学报,16(2)(1982),141-154,
[6]	F,G,Benitez and A,J,Rosakis,Three-dimensional elastostatics of a layer and layered medium,Journal of Elasticity,18(1)(1987),3-50,