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Numerically robust two‐scale full‐field finite strain crystal plasticity simulations of polycrystalline materials
Author(s) -
Kochmann Julian,
Wulfinghoff Stephan,
Svendsen Bob,
Reese Stefanie
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800278
Subject(s) - tangent , computation , viscoplasticity , moduli , tangent modulus , finite strain theory , fast fourier transform , constitutive equation , crystal plasticity , mathematics , mathematical analysis , plasticity , finite element method , materials science , physics , geometry , algorithm , structural engineering , modulus , engineering , composite material , quantum mechanics
The purpose of this work is the derivation of a numerically robust algorithmic formulation for the computation of the overall consistent algorithmic tangent moduli for the two‐scale modeling of heterogeneous materials with non‐linear constitutive behavior at finite strains. The underlying concept is a perturbation method. In contrast to existing numerical tangent computation algorithms, the proposed method yields the exact tangent using only six (instead of nine) perturbations (three in 2d). As an example, the FE‐FFT‐based approach by [6] is employed to predict the local and overall mechanical behavior of elasto‐viscoplastic polycrystals in a macroscopic Cook's membrane problem setting.