Optimal shape design as a material distribution problem

@article{Bendse1989OptimalSD,
  title={Optimal shape design as a material distribution problem},
  author={Martin P. Bends{\o}e},
  journal={Structural optimization},
  year={1989},
  volume={1},
  pages={193-202}
}
  • M. Bendsøe
  • Published 1 December 1989
  • Mathematics
  • Structural optimization
Shape optimization in a general setting requires the determination of the optimal spatial material distribution for given loads and boundary conditions. Every point in space is thus a material point or a void and the optimization problem is a discrete variable one. This paper describes various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable. Domains of high density then define the shape of the mechanical element… Expand

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