### Parallel Processing Strategy for Solving the Thermal-Mechanical Coupled Problem Applied to a 4D System using the Finite Element Method

#### Abstract

We propose a high performance computing

strategy (HPC) to simulate the deformation of a solid

body through time as a consequence of the internal

forces provoked by its temperature change, using the

Finite Element Method (FEM). The program finds a

solution of a multi-physics problem, solving the heat

diffusion problem and the linear strain problem for

homogeneous solids at each time step, exchanging

information between both solutions to simulate the

material distortion. The HPC strategy approach

parallelizes vector and matrix operations as well as

system equation solvers. The tests were realized over

a model simulating a car braking system (a rotating disk

velocity decreased by friction). Then we performed a

quantitative analysis of stress, strain and temperature in

some points of the geometry, and a qualitative analysis

to show some visualizations of the simulation.

strategy (HPC) to simulate the deformation of a solid

body through time as a consequence of the internal

forces provoked by its temperature change, using the

Finite Element Method (FEM). The program finds a

solution of a multi-physics problem, solving the heat

diffusion problem and the linear strain problem for

homogeneous solids at each time step, exchanging

information between both solutions to simulate the

material distortion. The HPC strategy approach

parallelizes vector and matrix operations as well as

system equation solvers. The tests were realized over

a model simulating a car braking system (a rotating disk

velocity decreased by friction). Then we performed a

quantitative analysis of stress, strain and temperature in

some points of the geometry, and a qualitative analysis

to show some visualizations of the simulation.

#### Keywords

Parallel computing, HPC, simulation, FEM, finite element, thermal-mechanical coupled problem, dynamic analysis, heat distortion.