Meshfree numerical approach based on the finite pointset method for two-way coupled transient linear thermoelasticity

被引：5

作者：

Saucedo-Zendejo, Felix R. ^{[1
]}

Resendiz-Flores, Edgar O. ^{[2
]}

机构：

[1] Univ Autonoma Coahuila, Ctr Invest Matemat Aplicadas, Unidad Saltillo, Saltillo 25020, Coahuila, Mexico

[2] Tecnol Nacl Mexico, IT Saltillo, Div Estudios Posgrad & Invest, Blvd V Carranza 2400, Saltillo 25280, Coahuila, Mexico

来源：

COMPUTATIONAL PARTICLE MECHANICS | 2023年 / 10卷 / 02期

关键词：

Meshfree method; Transient two-way coupled linear thermoelasticity; Finite pointset method; PETROV-GALERKIN METHOD; GREEN-NAGHDI THEORY; SIMULATIONS;

D O I：

10.1007/s40571-022-00496-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new formulation based on a real meshfree approach is presented for the first time in the field of transient linear thermoelasticity. The finite pointset method, a strong form meshfree method, is applied to discretize in space the partial differential equations modeling two-way coupled transient linear thermoelasticity while one-order implicit Euler scheme is used for time scale. The corresponding two-way coupled discretization is presented in detail and a typical benchmark problem where transient thermal and pressure shocks are numerically compared with other well-known methods. The studied physical configuration is also applied to a complex geometry in 2D where the obtained numerical results show an excellent behavior in comparison with the finite element method. The obtained results lead to the conclusion that the proposed meshless approach is a promising tool for non-stationary and coupled thermoelastic problems.

引用

页码：289 / 302

页数：14

共 33 条

[1] Solving heat conduction problems with a moving heat source in arc welding processes via an overlapping nodes scheme based on the improved element-free Galerkin method [J].