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Stress isolation through topology optimization

Abstract

This paper introduces a problem of stress isolation in structural design and presents an approach to the problem through topology optimization. We model the stress isolation problem as a topology optimization problem with multiple stress constraints in different regions. The shape equilibrium constraint approach is employed to effectively control the local stress constraints. The level set based structural optimization is implemented with the extended finite element method (X-FEM) for providing an adequately accurate stress analysis. Numerical examples of stress isolation design in two dimensions are investigated as a benchmark test of the proposed method. The results, from the force transmittance point of view, suggest that the guard “grooves” obtained can change the force path to successfully realize the stress isolation in the structure.

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Acknowledgments

The financial support from the Research Grants Council of Hong Kong S.A.R. (project No. CUHK417309) is gratefully acknowledged.

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Correspondence to Li Li.

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Li, L., Wang, M.Y. Stress isolation through topology optimization. Struct Multidisc Optim 49, 761–769 (2014). https://doi.org/10.1007/s00158-013-1004-8

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Keywords

  • Stress isolation
  • Topology optimization
  • Shape equilibrium constraint
  • Level set method
  • Extended finite element method (X-FEM)