Statistical continuum theory for large plastic deformation of polycrystalline materials

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Permanent URL	http://hdl.lib.byu.edu/1877/99
Title	Statistical continuum theory for large plastic deformation of polycrystalline materials
BYU Creator	Adams, Brent L.
Creator	Ahzi, S. Garmestani, H. Lin, S.
Keywords	Microstructures; Polycrystalline; Probability and statistics
Description/Abstract	This paper focuses on the application of statistical continuum mechanics to the prediction of mechanical response of polycrystalline materials and microstructure evolution under large plastic deformations. A statistical continuum mechanics formulation is developed by applying a Green's function solution to the equations of stress equilibrium in an infinite domain. The distribution and morphology of grains (crystals) in polycrystalline materials is represented by a set of correlation functions that are described by the corresponding probability functions. The elastic deformation is neglected and a viscoplastic power law is employed for crystallographic slip in single crystals. In this formulation, two- and three-point probability functions are used. A secant modulus-based formulation is used. The statistical analysis is applied to simulate homogeneous deformation processes under uniaxial tension, uniaxial compression and plane strain compression of an FCC polycrystal. The results are compared to the well-known Taylor upper bound model and discussed in comparison to experimental observations.
Source	Journal of the Mechanics and Physics of Solids 49 (2001) 589-607;
Publisher	Elsevier Ltd.
Date Original	2000-06-07
Date Digital	2006-02-21
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	Ira A. Fulton College of Engineering and Technology
BYU Department	Mechanical Engineering
Copyright Status	(c) 2000 Brent L. Adams, S. Ahzi, H. Garmestani, and S. Lin;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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Statistical continuum theory for large plastic deformation of polycrystalline materials

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