Numerical-analytic solution for inverse quotients thermoelasticity problem for a plate

Аuthors

Vestyak V. A.^1*, Zemskov A. V.^2**, Erichman N. N.^3***

1. ,
2. ,
3. Moscow Institute of Electronics and Mathematics, MIEM , 34 Tallinskaya Ulitsa, 123458, Moscow, Russia

*e-mail: kaf311@mai.ru
**e-mail: azemskov1975@mail.ru
***e-mail: Math@list.ru

Abstract

An inverse quotients thermoelasticity problem for a finite thickness layer is considered. The proposed solution is based on the assumption that thermo--mechanicalprocesses in the layer have a stationary harmonic character. The area geometry and boundary conditions allow reducing the problem to a one-dimensional thermoelasticity problem. Assuming thermomechanical oscillation frequency small enough a solving equation was produced. This equation allows determining quotients of temperature stresses and heat release under deformation. Obtained results can be used to simulate the process of experimental determination of physical-mechanical properties of the materials used in aero- and spacecraft manufacturing.

Keywords:

thermoelasticity, inverse quotients problem, assymptotics