Email this article Fundamental solution of the elasticity theory equations in displacements for a transversely isotropic medium
- Authors: Aksenov A.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 5 (2017)
- Pages: 617-622
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154384
- DOI: https://doi.org/10.1134/S0012266117050056
- ID: 154384
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Abstract
We consider a linear fourth-order elliptic partial differential equation describing the displacements of a transversely isotropic linearly elastic medium. We find the symmetries of this equation and of the inhomogeneous equation with the delta function on the right-hand side. Based on the symmetries of the inhomogeneous equation, we construct an invariant fundamental solution in elementary functions.
About the authors
A. V. Aksenov
Lomonosov Moscow State University
Author for correspondence.
Email: aksenov.av@gmail.com
Russian Federation, Moscow, 119992
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