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A Spectral Iterative Method for the Computation of Effective Properties Of Elastically Inhomogeneous Polycrystals

Published online by Cambridge University Press:  20 August 2015

Saswata Bhattacharyya ,
Tae Wook Heo ,
Kunok Chang  and
Long-Qing Chen
Saswata Bhattacharyya*
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Tae Wook Heo*
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Kunok Chang*
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Long-Qing Chen*
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
*
Corresponding author.Email:[email protected]
Email:[email protected]
Email:[email protected]
Email:[email protected]
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Abstract

We report an efficient phase field formalism to compute the stress distribution in polycrystalline materials with arbitrary elastic inhomogeneity and anisotropy The dependence of elastic stiffness tensor on grain orientation is taken into account, and the elastic equilibrium equation is solved using a spectral iterative perturbation method. We discuss its applications to computing residual stress distribution in systems containing arbitrarily shaped cavities and cracks (with zero elastic modulus) and to determining the effective elastic properties of polycrystals and multilayered composites.

Keywords

74B1074S25Elasticityspectral methoditerative method
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 3 , March 2012 , pp. 726 - 738
Copyright
Copyright © Global Science Press Limited 2012

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