Two-dimensional modified boundary value problem of statics of the theory of elastic mixtures. (English) Zbl 1278.74069
Summary: A two-dimensional modified first boundary value problem of statics of elastic mixtures is investigated. We prove that, the problem for multiply-connected finite
domain has a unique solution, which is representable by double layer general logarithmic potential with complex densities.
MSC:
| 74G70 | Stress concentrations, singularities in solid mechanics |
| 30E25 | Boundary value problems in the complex plane |
| 30G20 | Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.) |
| 31B35 | Connections of harmonic functions with differential equations in higher dimensions |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 74B05 | Classical linear elasticity |
