A spectral method solution to crystal elasto-viscoplasticity at finite strains

By Philip Eisenlohr, M. Diehl, Ricardo A. Lebensohn, Franz Roters. 2013

404 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/095baea8d32c3aea80d8ee3f084d3eb94637442e

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In Biomedical Engineering

In Mechanics of Materials

Citations in the corpus

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 ”
DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale (2018, methodology): “This includes scripts for Inverse Pole Figures (IPFs) color mapping with given crystal symmetry, the calculation of the nodal displacements in finite-strain spectral solver simulations [57], and the construction of perceptually uniform colormaps [349].”
Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations (2014, neutral): “…testing setups, which enable microstructural imaging during deformation and follow-up microscopic-digital image correlation ( l DIC) analysis (Kang et al., 2007; Tasan et al., 2010; Ghadbeigi et al., 2010, 2013; Kapp et al., 2011; Joo et al., 2013; Marteau et al., 2013; Han et al., 2013).”
An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals (2015, result): “In addition, the small strain formulations in the CP models are not consistent with the experimental condition having a finite strain loading, therefore, the incorporation of finite strain formulations in the CP models [49] are necessary in the future.”
Tutorial: Crystal orientations and EBSD — Or which way is up? (2016, methodology): “This problem is also shared when data is used to populate simulations such as crystal plasticity finite element methods [13] or FFT methods [14].”
Three-dimensional convolutional neural network (3D-CNN) for heterogeneous material homogenization (2020, methodology): “…the Voigt and Reuss model [3, 4]; (2) Semi-analytical methods, e.g., generalized method of cells (GMC) [5], self-consistent scheme (SCS) [6, 7], Mori-Tanaka method [8]; (3) Numerical methods, e.g., ﬁnite ﬂement (FE) [9–14], boundary element (BE) [15, 16], fast fourier transforms (FFT) [17, 18].”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “It contains two BVPs solvers, i.e., a spectral method in conjunctionwith FFT and an in-house developed FEM solver.”