Optimization of Structure & Material Properties for Solids Composed of Softening Material

  • Martin P. Bendsøe
  • José M. Guedes
  • Sheldon Plaxton
  • John E. Taylor
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 43)


An existing formulation for the prediction of the optimal material properties tensor for systems made of linear material is extended here to encompass design with nonlinear softening material. The original model for the linear case was stated as a convex, constrained nonlinear programming problem, and this property is preserved in the extension. The development is exemplified for the case of design for minimum global compliance. An extremum problem formulation for elastostatics is incorporated into the design problem, as a convenient way to model the structural analysis of general softening systems. Unlike the case for design with linear material, in the nonlinear problem the form of the solution for optimal material properties, and the associated stress fields as well, evolve with increasing load. Computational results are presented for a two-dimensional example problem, in which a system is designed for different loads while parameters in the material model are held fixed.


Nonlinear Programming Problem Topology Design Material Tensor Linear Material Softening Component 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Martin P. Bendsøe
    • 1
  • José M. Guedes
    • 2
  • Sheldon Plaxton
    • 3
  • John E. Taylor
    • 3
  1. 1.Mathematical InstituteThe Technical University of DenmarkLyngbyDenmark
  2. 2.Instituto Superior TecnicoAv. Rovisco PaisLisboa CodexPortugal
  3. 3.Department of Aerospace EngineeringUniversity of MichiganAnn ArborUSA

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