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

被引：403

作者：

Lebensohn, R.A. ^{[1
]}

机构：

[1] Instituto De Física Rosario (UNR-CONICET), 27 de Febrero 210 Bis, 2000 Rosario, Argentina

来源：

| 2001年 / Elsevier Ltd卷 / 49期

关键词：

Algorithms - Anisotropy - Computer simulation - Crystal microstructure - Fast Fourier transforms - Finite element method - Grain boundaries - Mathematical models - Morphology - Strain - Viscoplasticity;

D O I：

10.1016/S1359-6454(01)00172-0

中图分类号：

学科分类号：

摘要：

We present a formulation to compute the local response of elastic and viscoplastic anisotropic 3D polycrystals based on the Fast Fourier Transform (FFT) algorithm. This formulation is conceived for periodic heterogeneous microstructures and also for materials with random spatial distribution of heterogeneities. The approach is of the n-site kind, provides an exact solution of the equilibrium equation and has better numerical performance than small-scale FEM. The viscoplastic FFT formulation combined with an ad-hoc microstructure updating scheme is used to predict local states, morphology and texture evolution of ideal f.c.c. polycrystals. The model predicts strain localization, intragranular misorientation and subgrain formation and overall textures which are smoother than those obtained with classical 1-site schemes, in better agreement with experiments. © 2001 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.

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