Open AccessCalculation accuracy of mathematical homogenization method for thermo-mechanical coupling problems
Author(s) -
Guo Jian-xia
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2104957g
Subject(s) - homogenization (climate) , finite element method , constraint (computer aided design) , mathematics , convergence (economics) , mechanical system , coupling (piping) , computer science , mathematical optimization , physics , mechanical engineering , engineering , thermodynamics , biodiversity , ecology , geometry , artificial intelligence , economics , biology , economic growth
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.