Design of materials with prescribed nonlinear properties

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We systematically design materials using topology optimization to achieve prescribed nonlinear properties under finite deformation. Instead of a formal homogenization procedure, a numerical experiment is proposed to evaluate the material performance in longitudinal and transverse tensile tests under finite deformation, i.e. stress-strain relations and Poisson's ratio. By minimizing errors between actual and prescribed properties, materials are tailored to achieve the target. Both two dimensional (2D) truss-based and continuum materials are designed with various prescribed nonlinear properties. The numerical examples illustrate optimized materials with rubber-like behavior and also optimized materials with extreme strain-independent Poisson's ratio for axial strain intervals of εi ∈ [0.00,0.30]. © 2014 Elsevier Ltd. All rights reserved.
Original languageEnglish
JournalJournal of the Mechanics and Physics of Solids
Issue number1
Pages (from-to)156-174
Publication statusPublished - 2014


  • Finite deformation
  • Material design
  • Nonlinear properties
  • Optimization
  • Design
  • Poisson ratio
  • Tensile testing
  • Finite deformations
  • Homogenization procedure
  • Material designs
  • Material performance
  • Numerical experiments
  • Stress strain relation
  • Transverse tensile
  • Materials properties

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