Рақамли технологияларнинг назарий ва амалий масалалари Том 7 № 1 (2024) · с. 7-15
New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped
Джумаёзов, У.З.
Аннотация
This paper is devoted to mathematical and numerical modeling of the coupled dynamic problem of thermoelasticity in deformations. The coupled boundary value problem of thermoelasticity in deformations for an isotropic parallelepiped with appropriate initial and boundary conditions is formulated and solved numerically. The mesh equations are constructed by finite-difference method in the form of explicit and implicit schemes. The solution of the explicit scheme is reduced to recurrence relations with respect to deformations and temperature. In the case of implicit finite-difference schemes, the equations are solved by successive application of the run method. The validity of the formulated boundary value problems is substantiated by comparing numerical results obtained with different methods on the basis of two different models.
thermoelasticityjoint conditiondeformationinitial conditionsexplicit and implicit schemesfinite-difference methodrun methodboundary value problemтермоупругостьусловие совместности
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