Volume 11, Issue 3
A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals

Saswata Bhattacharyya, Tae Wook Heo, Kunok Chang & Long-Qing Chen

Commun. Comput. Phys., 11 (2012), pp. 726-738.

Published online: 2012-11

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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.


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@Article{CiCP-11-726, author = {}, title = {A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {3}, pages = {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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.290610.060411a}, url = {http://global-sci.org/intro/article_detail/cicp/7388.html} }
TY - JOUR T1 - A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals JO - Communications in Computational Physics VL - 3 SP - 726 EP - 738 PY - 2012 DA - 2012/11 SN - 11 DO - http://doi.org/10.4208/cicp.290610.060411a UR - https://global-sci.org/intro/article_detail/cicp/7388.html KW - AB -

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.


Saswata Bhattacharyya, Tae Wook Heo, Kunok Chang & Long-Qing Chen. (2020). A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals. Communications in Computational Physics. 11 (3). 726-738. doi:10.4208/cicp.290610.060411a
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