N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform

By Ricardo A. Lebensohn. 2001

499 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/49ab7f9a7a174203e0875614fba51e8f9fb38954

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In Mechanics of Materials

Citations in the corpus

Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms (2009, methodology): “Such improved agreement has been already reported by, e.g. Dawson and Beaudoin (1998) in the case of FE and by and Lebensohn (2001) in the case of FFT.”
Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data (2013, methodology): “This type of model was first developed by Suquet and collaborators [13], for nonlinear composites, and further developed by Lebensohn and collaborators for polycrystals [14].”
An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals (2015, methodology): “Conceived as an alternative to CP-FEM, a formulation inspired by image-processing techniques and based on the spectral FFT algorithm has been recently proposed to predict the micromechanical behavior of plastically deforming heterogeneous polycrystals [36–40].”
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals (2009, background): “This shortcoming can be partially overcome using viscoplastic self-consistent polycrystal plasticity codes that allow strains and stresses to vary in different crystal orientations (e.g. Lebensohn and Tome, 1993; Lebensohn, 2001; Karaman et al., 2000).”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “…is based on a direct variational formulation, was firstly introduced by Moulinec and Suquet (1994) to calculate the micromechanical response of elastic composite materials and was later generalised to rigidviscoplastic (Lebensohn, 2001) and elasto-viscoplastic (Lebensohn et al., 2012) materials.”
Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing (2011, unknown): “To simulate the deformation of such polycrystals, a number of approaches have been reported that involve representing the microstructure on a grid, including a finite element method with the mapped meshing technique [7,14], fast Fourier transforms [21], and a level-set approach [19].”
Grain boundaries and interfaces in slip transfer (2014, unknown): “Nevertheless, such models still assume uniform strain within each grain (unless more sophisticated multi-orientation schemes are used [7–9]).”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “Another important development for integrating crystal elasticity and plasticity constitutive models are direct fast Fourier methods [300] and Fourier-based spectral approaches [438,439].”