Material interpolation schemes in topology optimization

  title={Material interpolation schemes in topology optimization},
  author={Martin P. Bends{\o}e and Ole Sigmund},
  journal={Archive of Applied Mechanics},
Summary In topology optimization of structures, materials and mechanisms, parametrization of geometry is often performed by a grey-scale density-like interpolation function. In this paper we analyze and compare the various approaches to this concept in the light of variational bounds on effective properties of composite materials. This allows us to derive simple necessary conditions for the possible realization of grey-scale via composites, leading to a physical interpretation of all feasible… Expand
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