Parallel evolutionary optimization in multiscale problems

Parallel evolutionary optimization in multiscale problems

Wacław Kuś1, Tadeusz Burczyński1,2

1Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, 44-100 Gliwice, Poland.
2Institute of Computer Modelling, Artificial Intelligence Section, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2009.2.0253

Abstract:

The paper is devoted to optimization in multiscale problems. The composite modelled as a macrostructure with a local periodic microstructure is considered. The multiscale analysis is performed with the use of the homogenization method. The parallel evolutionary algorithm used in computations allows to shorten wall time of optimization. The fitness function evaluation with the use of the parallel homogenization algorithm is considered. The paper contains a description of the parallel evolutionary algorithm, the homogenization method, the optimization formulation and numerical examples.

Cite as:

Kuś, W. & Burczyński, T. (2009). Parallel evolutionary optimization in multiscale problems. Computer Methods in Materials Science, 9(2), 347 – 351. https://doi.org/10.7494/cmms.2009.2.0253

Article (PDF):

Keywords:

Optimization, Parallel evolutionary algorithm, Multiscale analysis, Computational homogenization

References:

Burczyński, T., Osyczka, A. (eds), Evolutionary Methods in Mechanics, Kluwer Publishers Dordrecht, 2004.

Burczyński, T., Kuś, W., Optimization of structures using distributed and parallel evolutionary algorithms, Lecture Notes on Computational Sciences, 3019, 2004, 572–579.

Burczyński, T., Kuś, W., Microstructure Optimization and Identification in Multi-scale Modelling, ECCOMAS Multidisciplinary Jubilee Symposium, Computational Methods in Applied Sciences, Springer, Berlin, 2009 (in print).

Kaczmarczyk, Ł., Numerical analysis of selected problems of heterogeneous solids, Ph.D Thesis TU Cracow, Poland, 2006.

Kuś, W., Grid-enabled evolutionary algorithm application in the mechanical optimization problems, Engineering Applications of Artificial Intelligence, 20, 2007, 629–636.

Kouznetsova, V. G., Computational homogenization for the multi-scale analysis of multi-phase materials, Ph.D. Thesis TU Eindhoven, 2002.

Madej, Ł., Mrozek, A., Kuś, W., Burczyński, T., Pietrzyk, M., Concurrent and upscaling methods in multi scale modeling – case studies, Computer Methods in Materials Science, 8 (1), 2008, 1-15.

Liu, W. K., Karpov, E. G., Park, H. S., Nano Mechanics and Materials, Theory, Multiscale Methods and Applications, Willey, 2006.

Michalewicz, Z., Genetic Algorithms + Data Structures = Evolutionary Programs, Springer Verlag, Berlin, 1992.

MSC.Nastran User Guide, 2006.

Zhodi, T. I., Wriggers, P., Introduction to Computational Micromechanics, Springer, Berlin, 2005.

Zienkiewicz, O. C., Taylor, R. L., The Finite Element Method, Butterworth-Heinemann Oxford, 2000.