TY - JOUR
TI - Calculation accuracy of mathematical homogenization method for thermo-mechanical coupling problems
AU - Guo Jianxia
JN - Thermal Science
PY - 2021
VL - 25
IS - 4
SP - 2957
EP - 2964
PT - Article
AB - 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.