A finite element perspective on nonlinear FFT-based micromechanical simulations

DOI10.1002/NME.5481zbMATH Open1548.65347MaRDI QIDQ6557380

Jaroslav Vondřejc, Jan Zeman, M. G. D. Geers, R. H. J. Peerlings, Tom W. J. de Geus

Publication date: 18 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodperiodic homogenizationNewton-Krylov solversFFT-based solverscomputational inelasticity

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for discrete and fast Fourier transforms (65T50)

Cites Work

• Title not available (Why is that?)
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Related Items (7)

On the critical role of martensite hardening behavior in the paradox of local and global ductility in dual-phase steels ⋮ Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform-based approach ⋮ An algorithm for stress and mixed control in Galerkin-based FFT homogenization ⋮ A two-scale FE-FFT approach to nonlinear magneto-elasticity ⋮ An algorithmically consistent macroscopic tangent operator for FFT-based computational homogenization ⋮ A reduced order variational spectral method for efficient construction of eigenstrain-based reduced order homogenization models ⋮ Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics

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