FEM-Based Structural Optimization with Respect to Shakedown Constraints

  • Authors:
  • Michael Heitzer

  • Affiliations:
  • -

  • Venue:
  • ICCS '02 Proceedings of the International Conference on Computational Science-Part I
  • Year:
  • 2002

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Abstract

In this paper, a mathematical programming formulation is presented for the structural optimization with respect to the shakedown analysis of 3-D perfectly plastic structures on basis of a finite element discretization. A new direct algorithm using plastic sensitivities is employed in solving this optimization formulation. The numerical procedure has been applied to carry out the shakedown analysis of pipe junctions under multi-loading systems. The computational effort of the new approach is much lower compared to so called derivative-free search methods.