| Abstract: |
| We investigate the solvability, asymptotic analysis and regularity results of solutions to three-dimensional nonclassical dynamics problems of interaction between thermo-elastic and generalized thermo-electro-magneto-elastic homogeneous anisotropic bodies with a crack at the interface. The considered generalized thermo-electro-magneto-elasticity model is based on the Green--Lindsay theory. Unlike classical theories of thermo--elasticity, heat propagation in this model occurs with a finite speed.
Using the Laplace transform, potential theory and the method of pseudodifferential equations on a manifold with a boundary based on the Wiener--Hopf factorization method, existence and uniqueness theorems are proved. Asymptotics of solutions near the edge of a interface crack and near the lines where the boundary conditions of different types meet are obtained. Based on the asymptotic analysis, we establish almost optimal H\{o}lder results for solutions.
This is joint work with D. Natroshvili and T. Buchukuri.
This research was supported by Shota Rustaveli National Science Foundation (SRNSF) Grant No. FR-23-267. |
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