An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials

By Ricardo A. Lebensohn, A. Kanjarla, Philip Eisenlohr. 2012

559 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1f8ba84122598fed7598e86462bff8b7f1d45933

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data (2013, background): “the elasto-viscoplastic formulation of Lebensohn and colleagues [15,16], to generalized power-law composites.”
Convergence of FFT‐based homogenization for strongly heterogeneous media (2015, methodology): “The Moulinec-Suquet discretization was successfully applied to various micromechanical problems, including thermoelasticity [39], piezoelectric composites [40], elasto-viscoplasticity in polycrystals at small and finite strains [41, 42, 43, 44, 45], permeability [46, 47], the mechanical behavior of ”
Strain rate sensitivities of deformation mechanisms in magnesium alloys (2018, methodology): “…et al., 2007; Abdolvand et al., 2011; Wu et al., 2014; Qiao et al., 2015a), crystal plasticity-based Fast Fourier Transform (CP-FFT) models (Lebensohn et al., 2012) and mean-fi ld effective-medium self-consistent (SC) models (Lebensohn and Tomé, 1993; Turner and Tomé, 1994; Wang et al.,…”
Establishing structure-property localization linkages for elastic deformation of three-dimensional high contrast composites using deep learning approaches (2019, methodology): “, the finite element method (FEM) [30,31]) or iterative methods employing Green's functions and fast Fourier transforms (FFTs) [14,16,32].”
A spectral method solution to crystal elasto-viscoplasticity at finite strains (2013, background): “Very recently, an extension of this spectral method to the case of crystal elasto-viscopla sticity has been reported (Lebensohn et al., 2012; Kanjarla et al., 2012; Suquet et al., 2012; Grennerat et al., 2012 ), however restricted to the kinematic framework of infinitesimal strains.”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “…was successfully used in simulating crystallographic texture evolution (Liu et al., 2010), modeling micromechanical response of two-phase materials (Lee et al., 2011), predicting internal lattice strain distributions in stainless steel (Kanjarla et al., 2012), the local stress partitioning of…”