Extremal energy functionals for a free parametrization of material, shape and topology

  • Martin P. Bendsøe


In a number of recent papers on the optimization of structures, the distribution of material as well as the material properties themselves have been considered as design variables [25]. The goal of these studies is to formulate a structural optimization problem in a form that encompasses the design of structural material in a broad sense, while also encompassing the provision of predicting the structural topologies and shapes associated with the optimum distribution of the optimized materials. This goal is accomplished by representing as design variables the material properties in the most general form possible for a (locally) linear elastic continuum namely as the unrestricted set of positive semi-definite constitutive tensors.


Equilibrium Problem Load Case Topology Design Optimal Material Material Tensor 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Martin P. Bendsøe
    • 1
  1. 1.Mathematical InstituteTechnical University of DenmarkLyngbyGermany

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