Multiobjective optimiaztion of microstructure parameters in a thermoelastic porous material by means of differential evolution and elements of game theory

Multiobjective optimiaztion of microstructure parameters in a thermoelastic porous material by means of differential evolution and elements of game theory

Adam Długosz, Tomasz Schlieter

Silesian University of Technology, Department of Computational Mechanics and Engineering, Gliwice, Poland.

DOI:

https://doi.org/10.7494/cmms.2022.3.0784

Abstract:

The paper is devoted to the optimization of the microstructure parameters of a porous medium under thermo-mechanical loading. Four different criteria related to the properties of the porous material have been proposed and numerically implemented. To solve a multiobjective problem, a novel method based on the coupling of differential evolution and elements of game theory is used. The proposed algorithm features an appropriate balance between exploration and exploitation of objective space, which is necessary for the successful optimization of these types of tasks with the use of numerical simulations. The model of the thermo-elastic porous material is composed of two-scale direct analysis based on a numerical homogenization. Direct thermoelastic analysis with representative volume element (RVE) and finite element method (FEM) is performed. Numerical example of the optimization illustrating the usefulness of the proposed method is included.

Cite as:

Długosz, A., & Schlieter, T. (2022). Multiobjective optimiaztion of microstructure parameters in a thermoelastic porous material by means of differential evolution and elements of game theory. Computer Methods in Materials Science, 22(3), pages. https://doi.org/10.7494/cmms.2022.3.0784

Article (PDF):

Accepted Manuscript – final pdf version coming soon

Keywords:

multiobjective optimization, thermoelasticity, porous materials, multiscale problem, representative volume element,
differential evolution, game theory

References: