Optimized mesh generation by colliding bodies optimization algorithm in finite element

Document Type : Research

Authors

1 Assistant professor, Faculty of civil engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, Iran.

2 MSc, Department of Civil Engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, Iran.

Abstract

This article presents combination method of h-refinement and node movement in finite element method to solve elasticity problems. Colliding bodies optimization algorithm (CBO), which is a meta-heuristic algorithm, is used to move nodes and in case of inaccurate answers h-refinement could be used to increase the number of nodes in the regions which have too many mistakes. Error estimate, used in both node movement and h-refinement, is made by L2-norm which is appropriate to triangle elements and another use of it is to build cost function that is used in CBO. The proposed method is suitable for finite element meshing procedure because it can solve problems in areas with high stress concentration. Two benchmark example results in linear elasticity problems with respect to other techniques, show the efficiency and acceptable accuracy of the proposed method

Keywords

References

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Numerical Methods in Civil Engineering
Volume 2, Issue 2
December 2017
Pages 28-34

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History

  • Receive Date: 09 May 2017
  • Revise Date: 12 September 2017
  • Accept Date: 07 November 2017

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