Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/34492
Title: A THERMODYNAMICALLY-CONSISTENT THEORY FOR ABNORMAL GRAIN GROWTH IN POLYCRYSTALLINE METALS AND THE COUPLING OF FINITE-ELEMENT AND PHASE-FIELD METHODS
Authors: MOSTAFA JAMSHIDIAN
Keywords: Constitutive behavior, Grain growth, Polycrystalline material, Finite elements, phase field, Numerical algorithms
Issue Date: 6-Jan-2012
Source: MOSTAFA JAMSHIDIAN (2012-01-06). A THERMODYNAMICALLY-CONSISTENT THEORY FOR ABNORMAL GRAIN GROWTH IN POLYCRYSTALLINE METALS AND THE COUPLING OF FINITE-ELEMENT AND PHASE-FIELD METHODS. ScholarBank@NUS Repository.
Abstract: A three dimensional continuum, thermo-mechanically coupled, finite deformation and crystal mechanics based constitutive theory to describe the phenomenon of elastic strain energy and surface energy minimizing boundary migration in polycrystalline metallic materials has been developed, within a framework that accounts for the laws of continuum thermodynamics. By proper determination of a representative volume element and formulating the theory using the principles of thermodynamics and the concept of micro- force balance, a set of coupled kinetic relations for the phase fields including the order parameters and newly introduced proximity parameters are derived. The developed model is then implemented in the commercially available finite-element program Abaqus/Standard, using a numerical algorithm with a two-way concurrent feedback between the deformation state and the microstructure. Deformation is simulated using the finite element method, while grain growth is calculated by the phase field approach. Analytical solutions for some benchmark examples are provided to verify the proposed theory and its numerical implementation. Also simulations of texture transition in copper thin films on polyimide substrates are presented as an application of the theory.
URI: http://scholarbank.nus.edu.sg/handle/10635/34492
Appears in Collections:Ph.D Theses (Open)

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