FFT based approaches in micromechanics: fundamentals, methods and applications
S Lucarini, MV Upadhyay… - Modelling and Simulation …, 2021 - iopscience.iop.org
FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …
Bionic polycellular structures for axial compression
Many traditional thin-walled structures have the disadvantages of excessive force drop after
the initial peak and large structural mass (SM). Inspired by bamboo and lotus root …
the initial peak and large structural mass (SM). Inspired by bamboo and lotus root …
Axial compression performance of a bamboo-inspired porous lattice structure
Biomimetic lattice structures are one of the hotspots in current new material/structural
technologies, and these lattice structures often have extraordinary mechanical properties …
technologies, and these lattice structures often have extraordinary mechanical properties …
Influence of printing irregularities on the elastic behavior and mesostructural stress concentrations in material extrusion additive manufacturing—A numerical …
Materials manufactured by additive manufacturing processes based on extrusion of polymer
are recent and difficult to model due to their complex and irregular mesostructure. In the …
are recent and difficult to model due to their complex and irregular mesostructure. In the …
Parametric analysis on axial compression performance of bio-inspired porous lattice structures
The porous lattice structures (PLSs) have the advantages of excellent mechanical properties
and light weight. Inspired by the structural shape of lotus root, this work proposes four lotus …
and light weight. Inspired by the structural shape of lotus root, this work proposes four lotus …
An implicit FFT-based method for wave propagation in elastic heterogeneous media
An FFT-based algorithm is developed to simulate the propagation of elastic waves in
heterogeneous d-dimensional rectangular shape domains. The method allows one to …
heterogeneous d-dimensional rectangular shape domains. The method allows one to …
Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization
M Schneider - International Journal for Numerical Methods in …, 2022 - Wiley Online Library
The power of fast Fourier transform (FFT)‐based methods in computational micromechanics
critically depends on a seamless integration of discretization scheme and solution method …
critically depends on a seamless integration of discretization scheme and solution method …
[HTML][HTML] Elimination of ringing artifacts by finite-element projection in FFT-based homogenization
Micromechanical homogenization is often carried out with Fourier-accelerated methods that
are prone to ringing artifacts. We here generalize the compatibility projection introduced by …
are prone to ringing artifacts. We here generalize the compatibility projection introduced by …
[HTML][HTML] FFT-based surrogate modeling of auxetic metamaterials with real-time prediction of effective elastic properties and swift inverse design
Auxetic structures, known for their negative Poisson's ratio, exhibit effective elastic properties
heavily influenced by their underlying geometry and base material properties. While periodic …
heavily influenced by their underlying geometry and base material properties. While periodic …
Implementation of a phase field damage model with a nonlinear evolution equation in an FFT-based solver
This paper focuses on the numerical implementation of phase-field models of fracture using
the Fast Fourier Transform (FFT) based numerical method. Recent studies on phase-field …
the Fast Fourier Transform (FFT) based numerical method. Recent studies on phase-field …