1 Department of Mechanical Engineering, Technical University of Denmark 2 Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark 3 Department of Electrical Engineering, Technical University of Denmark 4 Acoustic Technology, Department of Electrical Engineering, Technical University of Denmark
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.
Journal of the Mechanics and Physics of Solids, 2014, Vol 69, Issue 1, p. 156-174
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
Main Research Area: