Fourier Spectral Phase Field Simulations of Elastically Anisotropic Heterogeneous Polycrystals

[+] Author and Article Information
Jeffrey B. Allen

Information Technology Laboratory, U.S. Army Engineer Research and Development Center, Vicksburg, MS 39180Department of Mechanical and Aerospace Engineering, Utah State University, Logan, UT 84322

1Corresponding author.

ASME doi:10.1115/1.4039896 History: Received June 30, 2017; Revised April 04, 2018


In this study, we developed a multi-order, phase field model to compute the stress distributions in anisotropically elastic, inhomogeneous polycrystals and study stress driven grain boundary migration. In particular, we included elastic contributions to the total free energy density, and solved the multicomponent, non-conserved Allen-Cahn equations via the semi-implicit Fourier spectral method. Our analysis included specific cases related to bicrystalline planar and curved systems as well as polycrystalline systems with grain orientation and applied strain conditions. The evolution of the grain boundary confirmed the strong dependencies between grain orientation and applied strain conditions and the localized stresses were found to be a maximum within grain boundary triple junctions.

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