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横观各向同性弹性层点力解
引用本文:丁皓江,王耘.横观各向同性弹性层点力解[J].应用数学和力学,1996,17(4):297-305.
作者姓名:丁皓江  王耘
作者单位:浙江大学力学系,清华大学力学系
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.

关 键 词:横观各向同性,弹性层,点力解,Fourier变换

Point Force Solution for a Transversely Isotropic Elastic Layer
Ding Haojiang,Liang Jian.Point Force Solution for a Transversely Isotropic Elastic Layer[J].Applied Mathematics and Mechanics,1996,17(4):297-305.
Authors:Ding Haojiang  Liang Jian
Abstract:By introduction of transmitting matrices,technique for layered structure,mixed equations with stresses and displacement are derived from the basic equations of transversely isotropic elasticity. Then, using Fourier transformation and the g6neral 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 bythe use of computer algebra software.
Keywords:transversely isotropy  elastic layer  point force solution  Fourier transformation
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