FFTMAD (Fast Fourier Transform based homogenization code, MADrid)

Software details

Software authors

Javier Segurado, Sergio Lucarini

Intellectual Property Rights

Copyright © 2012-2019 Fundación IMDEA Materiales and Universidad Politécnica de Madrid. All rights reserved

Transfer opportunity

Software license


S. Lucarini and J. Segurado., “On the accuracy of spectral solvers for micromechanics based fatigue modeling”, Computational Mechanics, 2018.

Software description

FFTMAD is a software tool for computational homogenization based on the Fast Fourier Transform. The software aims to obtain the response of any heterogeneous material, as composites, polycrystals or celular materials, by simulating the behavior of a Representative Volume Element of the microstructure. The code is remarkable more efficient in CPU time and memory allocation than Finite Element homogenization.

FFTMAD includes preprocessing tools for microstructure generation of composites and polycrystals. Any constitutive equation can be used for the behavior of the materials by either a materialsubroutine Abaqus-UMAT or a pre-programmed model as elasticity, hyperelasticity, elasto-plasticity and crystal plasticity. FFTMAD solver is parallelized in GPUs or threads and includes different schemes for linear and non-linear problems. Postprocessing is done using python tools and Paraview.

FFTMAD is programmed as a Python project including NumPy, SciPy, PyEVTK, PyFFTW, and PyCuda libraries as well as home made subroutines in Fortran. A simulation in FFTMAD is performed by simple scripts defining the RVE, materials, load histories and postprocessing options.

FFTMAD capabilities


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