Convex topology optimization for hyperelastic trusses based on the ground-structure approach

Adeildo S. Ramos, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review


Most papers in the literature, which deal with topology optimization of trusses using the ground structure approach, are constrained to linear behavior. Here we address the problem considering material nonlinear behavior. More specifically, we concentrate on hyperelastic models, such as the ones by Hencky, Saint-Venant, Neo-Hookean and Ogden. A unified approach is adopted using the total potential energy concept, i.e., the total potential is used both in the objective function of the optimization problem and also to obtain the equilibrium solution. We proof that the optimization formulation is convex provided that the specific strain energy is strictly convex. Some representative examples are given to demonstrate the features of each model. We conclude by exploring the role of nonlinearities in the overall topology design problem.

Original languageEnglish (US)
Pages (from-to)287-304
Number of pages18
JournalStructural and Multidisciplinary Optimization
Issue number2
StatePublished - Feb 2015


  • Convex optimization
  • Ground structure
  • Hyperelasticity
  • Potential energy
  • Topology optimization
  • Truss stuctures

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization


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