Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form
- Authors: Osipov E.A.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 241, No 3 (2019)
- Pages: 306-317
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242889
- DOI: https://doi.org/10.1007/s10958-019-04425-4
- ID: 242889
Cite item
Abstract
We discuss boundary-value problems for the system of equations of the spatial theory of elasticity in the class of double-periodic functions and obtain a general solution of the system. We distinguish six types of elementary Floquet waves and examine their energy characteristics. We consider fundamental boundary-value problems in the half-space in the vector form. The diffraction problem for an elastic wave on a periodic system of defects in the vector form is reduced to the paired summator functional equation.
About the authors
E. A. Osipov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Evgenij.Osipov@kpfu.ru
Russian Federation, Kazan