Numerical computation of the response of piezoelectric composites using Fourier transform

Renald Brenner (1)

1 LSPM - Laboratoire des Sciences des Procédés et des Matériaux

An efficient numerical scheme is presented to compute the response of piezoelectric composite materials with arbitrary complex microstructures. It makes use of fast Fourier transform to solve iteratively the coupled periodic Lippmann-Schwinger equations for a heterogeneous electroelastic medium. The method is assessed in the case of a two-phase composite by comparison with analytic solutions and finite-element results taken from the literature.

Domaines: Physique Numérique [physics.comp-ph]; Matériaux; Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Renald Brenner. Numerical computation of the response of piezoelectric composites using Fourier transform. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2009, pp.79, 184106. ⟨hal-00788854⟩