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Title: Effects of interactions among crystals on the inhomogeneous deformations of polycrystals

Abstract

The deformations of model fcc polycrystals are studied using finite element simulations in which each element of the discretization is treated as a single crystal. The extent to which interactions between a crystal and its neighbors influence its deformation is examined by conducting a series of simulations. For each of these simulations the model polycrystal is constructed using a different spatial arrangement of the same set of crystals, so as to alter the neighborhood of each crystal. The deformation rate data for all the crystals obtained from these simulations are analyzed using the method of empirical eigenfunctions and using statistical methods. Variation of the deformation rate data with the Taylor factors of the crystal orientations as well as over three-dimensional space of Rodrigues` parameters is examined to study the dependence on orientation. The results show that interactions among crystals play a crucial role in determining the distribution of the applied deformation among them. Such interactions should be incorporated in averaging assumptions of polycrystal plasticity models to obtain improved predictions of crystallographic texture evolution.

Authors:
;  [1]
  1. Cornell Univ., Ithaca, NY (United States). Sibley School of Mechanical and Aerospace Engineering
Publication Date:
OSTI Identifier:
247948
Resource Type:
Journal Article
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 44; Journal Issue: 5; Other Information: PBD: May 1996
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; POLYCRYSTALS; DEFORMATION; MICROSTRUCTURE; MATHEMATICAL MODELS; FINITE ELEMENT METHOD; SIMULATION; EIGENFUNCTIONS; STATISTICAL MODELS; ORIENTATION; PLASTICITY; TEXTURE; PREDICTION EQUATIONS; CRYSTALLOGRAPHY

Citation Formats

Sarma, G B, and Dawson, P R. Effects of interactions among crystals on the inhomogeneous deformations of polycrystals. United States: N. p., 1996. Web. doi:10.1016/1359-6454(95)00309-6.
Sarma, G B, & Dawson, P R. Effects of interactions among crystals on the inhomogeneous deformations of polycrystals. United States. https://doi.org/10.1016/1359-6454(95)00309-6
Sarma, G B, and Dawson, P R. Wed . "Effects of interactions among crystals on the inhomogeneous deformations of polycrystals". United States. https://doi.org/10.1016/1359-6454(95)00309-6.
@article{osti_247948,
title = {Effects of interactions among crystals on the inhomogeneous deformations of polycrystals},
author = {Sarma, G B and Dawson, P R},
abstractNote = {The deformations of model fcc polycrystals are studied using finite element simulations in which each element of the discretization is treated as a single crystal. The extent to which interactions between a crystal and its neighbors influence its deformation is examined by conducting a series of simulations. For each of these simulations the model polycrystal is constructed using a different spatial arrangement of the same set of crystals, so as to alter the neighborhood of each crystal. The deformation rate data for all the crystals obtained from these simulations are analyzed using the method of empirical eigenfunctions and using statistical methods. Variation of the deformation rate data with the Taylor factors of the crystal orientations as well as over three-dimensional space of Rodrigues` parameters is examined to study the dependence on orientation. The results show that interactions among crystals play a crucial role in determining the distribution of the applied deformation among them. Such interactions should be incorporated in averaging assumptions of polycrystal plasticity models to obtain improved predictions of crystallographic texture evolution.},
doi = {10.1016/1359-6454(95)00309-6},
url = {https://www.osti.gov/biblio/247948}, journal = {Acta Materialia},
number = 5,
volume = 44,
place = {United States},
year = {1996},
month = {5}
}