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

A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals
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Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 3 : pp. 726–738

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.


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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.290610.060411a

Communications in Computational Physics, Vol. 11 (2012), Iss. 3 : pp. 726–738

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

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