Fundamental solution of displacement equations for a transversely isotropic elastic medium
- Authors: Aksenov A.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 94, No 2 (2016)
- Pages: 598-601
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/224456
- DOI: https://doi.org/10.1134/S1064562416050197
- ID: 224456
Cite item
Abstract
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.
About the authors
A. V. Aksenov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: aksenov@mech.math.msu.su
Russian Federation, Moscow, 119992