Fundamental solution of displacement equations for a transversely isotropic elastic medium
- 作者: Aksenov A.1
-
隶属关系:
- Faculty of Mechanics and Mathematics
- 期: 卷 94, 编号 2 (2016)
- 页面: 598-601
- 栏目: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/224456
- DOI: https://doi.org/10.1134/S1064562416050197
- ID: 224456
如何引用文章
详细
A fourth-order linear elliptic partial differential equation describing the displacements of a transversely isotropic linear elastic medium is considered. Its symmetries and the symmetries of an inhomogeneous equation with a delta function on the right-hand side are found. The latter symmetries are used to construct an invariant fundamental solution of the original equation in terms of elementary functions.
作者简介
A. Aksenov
Faculty of Mechanics and Mathematics
编辑信件的主要联系方式.
Email: aksenov@mech.math.msu.su
俄罗斯联邦, Moscow, 119992