The Three-Dimensional Problem of Statics of the Elastic Mixture Theory with Displacements Given on the Boundary |
| |
Authors: | Basheleishvili M |
| |
Institution: | (1) I. Vekua Institute of Applied Mathematics, Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia |
| |
Abstract: | The first three-dimensional boundary value problem is considered for the basic equations of statics of the elastic mixture theory in the finite and infinite domains bounded by the closed surfaces. It is proved that this problem splits into two problems whose investigation is reduced to the first boundary value problem for an elliptic equation which structurally coincides with an equation of statics of an isotropic elastic body. Using the potential method and the theory of Fredholm integral equations of second kind, the existence and uniqueness of the solution of the first boundary value problem is proved for the split equation. |
| |
Keywords: | Theory of elastic mixtures boundary value problem Fredholm integral equations |
本文献已被 SpringerLink 等数据库收录! |
|