Structural and Multidisciplinary Optimization

, Volume 59, Issue 3, pp 759–766 | Cite as

A computational study of symmetry and well-posedness of structural topology optimization

  • Daniel A. WhiteEmail author
  • Alexey Voronin
Research Paper


We are concerned with the computational topological optimization of elastic structures, in particular minimization of compliance subject to a constraint on the mass. Through computational experiments, it is discovered that even very simple optimization problems can exhibit complex behavior such as critical points and bifurcation. In the vicinity of critical points, structural topology optimization problems are not well-posed since infinitesimally small perturbations lead to distinct topologies.


Structures Topology Optimization Bifurcation Well-posed 



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Copyright information

© This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2018

Authors and Affiliations

  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA

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