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

作　　者：Saswata Bhattacharyya Tae Wook Heo Kunok Chang Long-Qing Chen 

机构地区：[1]Department of Materials Science and Engineering,The Pennsylvania State University,University Park,PA 16802,USA

出　　处：《Communications in Computational Physics》2012年第3期726-738,共13页计算物理通讯（英文）

基　　金：The authors would like to acknowledge the financial supports from the National Science Foundation under the grant number DMR-0710483.

摘　　要：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.

关 键 词：ELASTICITY spectral method iterative method 

分 类 号：O17[理学—数学]