Journal of Computational Methods in Engineering

Journal of Computational Methods in Engineering

Simulation of Strain-Induced Grain Boundary Migration via Coupling Phase-Field and Crystal Plasticity Methods: Effect of Representative Volume Element Size

Document Type : Original Article

Authors
Mohammad Shadpour 1
Mohammad Jafari 1
Mostafa Jamshidian 2
1 Department of Mechanical Engineering, Yazd University, Yazd, Iran
2 School of Engineering, The University of Western Australia, Crawley, WA 6009, Australia
10.47176/jcme.45.1.1080
Abstract
Multiscale modeling of microstructural evolution in polycrystalline metals is commonly conducted based on the concept of a representative volume element (RVE), which characterizes the response of a material point. In this study, a coupled phase field and dislocation density-based crystal plasticity framework is used to investigate the effect of RVE size on the kinetics of static strain-induced grain boundary migration. The finite element-based crystal plasticity model is employed to compute the stored deformation energy distribution within individual grains, while the phase field model describes the subsequent grain boundary migration during high-temperature annealing. The simulations of grain growth are performed for a polycrystalline aluminum with elastic cubic symmetry under plastic uniaxial loading. The RVE size is varied in the range from 10 to 60µm for simulations of static strain-induced grain boundary migration. The initial average grain diameter for all RVEs is 3 µm. The periodic boundary condition is applied to statistical RVEs with sufficient scale separation between the microstructure and macrostructure. To determine the optimum RVE size under a specific boundary condition, a convergence analysis is performed by plotting the grain growth component as a function of RVE size. The simulation results indicate that an RVE size of 30 µm statistically provides a representative response for tensile loading conditions. The outcomes of this work provide valuable insights for determining the optimum RVE size and for the design of thermomechanical processing strategies in metallic materials.
Keywords
Strain-induced grain boundary migration (SIBM)
Crystal plasticity
Dislocation density
Phase-field method
RVE size effect
Subjects
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