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METHOD OF GENERALIZED FUNCTIONS IN PLANE BOUNDARY VALUE PROBLEMS OF UNCOUPLED THERMOELASTODYNAMICS
  • Assiyat Dadayeva,
  • Lyudmila Alexeyeva
Assiyat Dadayeva
RSE Institute of Mathematics and Mathematical Modeling
Author Profile
Lyudmila Alexeyeva
RSE Institute of Mathematics and Mathematical Modeling
Author Profile

Abstract

Nonstationary boundary value problems of uncoupled thermoelasticity are considered. A method of boundary integral equations in the initial space-time has been developed for solving boundary value problems of thermoelasticity by plane deformation. According to generalized functions method the generalized solutions of boundary value problems are constructed and their regular integral representations are obtained. These solutions allow, using known boundary values and initial conditions (displacements, temperature, stresses and heat flux), to determine the thermally stressed state of the medium under the influence of various forces and thermal loads. Resolving singular boundary integral equations are constructed to determine the unknown boundary functions.

Peer review status:UNDER REVIEW

14 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
16 Jun 2021Assigned to Editor
16 Jun 2021Submission Checks Completed
13 Jul 2021Reviewer(s) Assigned