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Enhancing level set-based topology optimization with anisotropic graded meshes

Author

Listed:
  • Cortellessa, Davide
  • Ferro, Nicola
  • Perotto, Simona
  • Micheletti, Stefano

Abstract

We propose a new algorithm for the design of topologically optimized lightweight structures, under a minimum compliance requirement. The new process enhances a standard level set formulation in terms of computational efficiency, thanks to the employment of a computational mesh customized to the problem at hand. We pursue a twofold goal, i.e., to deliver a final layout characterized by a smooth contour and reliable mechanical properties. The smoothness of the optimized structure is ensured by the employment of an anisotropic adapted mesh, which sharply captures the material/void interface. A robust mechanical performance is guaranteed by a uniform tessellation of the internal part of the optimized configuration. A thorough numerical investigation corroborates the effectiveness of the proposed algorithm as a reliable and computationally affordable design tool, both in two- and three-dimensional contexts.

Suggested Citation

  • Cortellessa, Davide & Ferro, Nicola & Perotto, Simona & Micheletti, Stefano, 2023. "Enhancing level set-based topology optimization with anisotropic graded meshes," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    • Handle: RePEc:eee:apmaco:v:447:y:2023:i:c:s0096300323000723
    DOI: 10.1016/j.amc.2023.127903
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