Singular boundary integral equations of boundary value problems of the elasticity theory under supersonic transport loads |
| |
Authors: | L. A. Alexeyeva |
| |
Affiliation: | 1.Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science,Republic Kazakhstan, Almaty,Kazakhstan |
| |
Abstract: | We consider a transport boundary value problem for an isotropic elastic medium bounded by a cylindrical surface of arbitrary cross-section and subjected to supersonic transport loads. We pose the corresponding hyperbolic boundary value problem and prove the uniqueness of the solution with regard to shock waves. To solve the problem, we use the method of generalized functions. In the space of generalized functions, we obtain the solution, perform its regularization, and construct a dynamic analog of the Somigliana formula and singular boundary equations solving the boundary value problem. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|