THERMAL SCIENCE

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Jianxia Guo

CALCULATION ACCURACY OF MATHEMATICAL HOMOGENIZATION METHOD FOR THERMO-MECHANICAL COUPLING PROBLEMS

ABSTRACT
The paper analyzes the thermo-mechanical couplinag phenomenon under the condition of sliding contact, establishes the finite element analysis continuous model of thermo-mechanical coupling, and proposes the system dynamic equilibrium equation and thermodynamic equilibrium equation. The article analyzes the contact conditions between the objects in the system and obtains the objects' contact conditions' mathematical expression. On this basis, the constraint function is used to express the mathematical homogenization. We apply the variation principle to the constraint function and form a non-linear equation group with the system balance equation solve the thermal-mechanical coupling problem. The example shows that we use the constraint function method to solve the thermo-mechanical coupling problem, which has good convergence, stable algorithm, and the calculation result can reflect the actual situation.
KEYWORDS
thermal-mechanical coupling, constraint function method, mathematical homogenization method, calculation accuracy
PAPER SUBMITTED: 2020-11-13
PAPER REVISED: 2020-12-22
PAPER ACCEPTED: 2021-01-13
PUBLISHED ONLINE: 2021-07-31
DOI REFERENCE: https://doi.org/10.2298/TSCI2104957G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 4, PAGES [2957 - 2964]
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Calculation accuracy of mathematical homogenization method for thermo-mechanical coupling problems

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence