Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms

By A. Prakash, Ricardo A. Lebensohn. 2009

160 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/61c7108600d22cf88408602f9de4775012dae3af

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials (2012, background): “CP-FEM models, on the other hand, do account for grain-to-grain interactions and intragranular field variations, but the size of the volume element and the intra-grain resolution that can be investigated is limited, i.e. far from being statistically representative, with presently available computati”
A spectral method solution to crystal elasto-viscoplasticity at finite strains (2013, methodology): “…method to the context of crystal viscoplastic ity, and applied it to a number of studies (Lebensohn et al., 2005, 2008, 2009; Lee et al., 2011; Lebensohn et al., 2011; Lefebvre et al., 2012 ) for which the use of FEM-bas ed approach es would have been preclusive (Prakash and Lebensohn, 2009 ).”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, background): “Compared with their FEM counterparts, spectral methods using FFT showmuch higher efficiency in solving boundary value problems (BVPs) (Prakash and Lebensohn, 2009; Lebensohn et al., 2012; Eisenlohr et al., 2013), at the cost of being limited to periodic boundary conditions (BCs).”
An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals (2015, background): “It is numerically demonstrated that the computational time of the CP-FEM solver is about 25–40 times more than that of the CP-FFT counterpart when achieving the same level of fidelity [41].”