Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 44, Issue 4, Pages 1163-1177Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2008.07.034
Keywords
Polycrystal plasticity; Constitutive model; Homogenization; Grain size effect; Finite element method
Categories
Funding
- Materials Design and Surface Engineering program of the NSF [CMMI-0757824]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0757824] Funding Source: National Science Foundation
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A finite element analysis of the large deformation of three-dimensional polycrystals is presented using pixel-based finite elements as well as finite elements conforming with grain boundaries. The macroscopic response is obtained through volume-averaging laws. A constitutive framework for elasto-viscoplastic response of single crystals is utilized along with a fully-implicit Lagrangian finite element algorithm for modeling microstructure evolution. The effect of grain size is included by considering a physically motivated measure of lattice incompatibility which provides an updated shearing resistance within grains. A domain decomposition approach is adopted for parallel computation to allow efficient large scale simulations. Conforming grids are adopted to simulate flexible and complex shapes of grains. The computed mechanical properties of polycrystals are shown to be consistent with experimental results for different grain sizes. (C) 2008 Elsevier B.V. All rights reserved.
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