Evolutionary shape optimization in fracture problems
Keywords:
boundary element method, optimization, evolutionary algorithm, crack, parametric curvesAbstract
The aim to the paper is to optimize 2-dimensional elastic structures subjected to cyclic load. The loading can result in crack forming, so the aim of the optimization is to reduce the possibility of crack growth. The number of loading cycles necessary to crack growth is maximized. To solve the optimization task the evolutionary algorithm is used. The boundary element method is applied to solve the crack problem. In order to reduce the number of design variables the parametrical NURSB curves are used to model the geometry of parts of the structural element boundary.
References
[1] J. Arabas. Lectures on Evolutionary Algorithms (in Polish). WNT, Warszawa, 200l.
[2] C.A. Brebbia, J. Dominiguez. Boundary Elements. An Introductory Course, Computational Mechanics Publications, Southampton Boston, 1989.
[3] T. Burczyński, W.Beluch. The identification of cracks using boundary elements and evolutionary algorithms. Engineering Analysis with Boundary Elements, 25, 2001.
[4] T. Burczyński, W. Kuś. Distributed evolutionary algorithms in shape optimization of nonlinear structures. Lectures Notes on Computer Science 2328, Springer, 477-484, 2002.
[5] E. Cantu-Paz. A Survey of Parallel Genetic Algorithms, Calculateurs Paralleles, Reseaux et Systems Repartis, 10(2): 141- 171, Paris, 1998.
[2] C.A. Brebbia, J. Dominiguez. Boundary Elements. An Introductory Course, Computational Mechanics Publications, Southampton Boston, 1989.
[3] T. Burczyński, W.Beluch. The identification of cracks using boundary elements and evolutionary algorithms. Engineering Analysis with Boundary Elements, 25, 2001.
[4] T. Burczyński, W. Kuś. Distributed evolutionary algorithms in shape optimization of nonlinear structures. Lectures Notes on Computer Science 2328, Springer, 477-484, 2002.
[5] E. Cantu-Paz. A Survey of Parallel Genetic Algorithms, Calculateurs Paralleles, Reseaux et Systems Repartis, 10(2): 141- 171, Paris, 1998.
Published
2022-11-28
Issue
pp. 111-121
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Beluch, W. (2022). Evolutionary shape optimization in fracture problems. Computer Assisted Methods in Engineering and Science, 12(2-3), 111-121. https://cames3.ippt.pan.pl/index.php/cames/article/view/981
