Adaptation and validation of FFT methods for homogenization of lattice based materials

  title={Adaptation and validation of FFT methods for homogenization of lattice based materials},
  author={Sergio Lucarini and Laura Cobian and A. Voitus and Javier Segurado},
  journal={Computer Methods in Applied Mechanics and Engineering},
An FFT framework which preserves a good numerical performance in the case of domains with large regions of empty space is proposed and analyzed for its application to lattice based materials. Two spectral solvers specially suited to resolve problems containing phases with zero stiffness are considered (1) a Galerkin approach combined with the MINRES linear solver and a discrete differentiation rule and (2) a modification of a displacement FFT solver which penalizes the indetermination of… Expand


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