Fundamental solution of displacement equations for a transversely isotropic elastic medium
- Авторлар: Aksenov A.1
-
Мекемелер:
- Faculty of Mechanics and Mathematics
- Шығарылым: Том 94, № 2 (2016)
- Беттер: 598-601
- Бөлім: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/224456
- DOI: https://doi.org/10.1134/S1064562416050197
- ID: 224456
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Aksenov
Faculty of Mechanics and Mathematics
Хат алмасуға жауапты Автор.
Email: aksenov@mech.math.msu.su
Ресей, Moscow, 119992