Рақамли технологияларнинг назарий ва амалий масалалари 7-том 3-сан (2024) · 33-44-беттер
New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped
Джумаёзов, Умиджон
Аннотация
The present work is devoted to the formulation and numerical solution of coupled boundary value problems of thermoelasticity with respect to deformations for a rod, a plate, and a parallelepiped. Two equivalent coupled boundary value problems of thermoelasticity with respect to deformations and temperature are proposed. The first equation of thermoelasticity is found within the framework of the compatibility conditions of the Saint-Venant deformations and the heat influx equation with the corresponding initial and boundary conditions. In the second case, the differential equations of thermoelasticity are replaced by differentiated equations of motion. The validity of the formulated two boundary value problems of thermoelasticity is substantiated by comparing their numerical results obtained by the sweep method and recurrence relations, as well as by solving a similar coupled problem with respect to displacements.
термоупругостьметод прогонкитемпературакраевая задачаперемещенияуравнения движенияthermoelasticitysweep methodtemperatureboundary value problem
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