Available online at www.sciencedirect.com ScienceDirect Comput. Methods Appl. Mech. Engrg. 285 (2015) 829–848 www.elsevier.com/locate/cma An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals L. Chen a,∗ , J. Chen b , R.A. Lebensohn c , Y.Z. Ji a , T.W. Heo a,1 , S. Bhattacharyya a,2 , K. Chang a,3 , S. Mathaudhu d , Z.K. Liu a , L.-Q. Chen a a Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA 16802, USA b Department of Engineering, Pennsylvania State University, The Altoona College, Altoona, PA 16601, USA c Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87845, USA d Materials Science Division, U.S. Army Research Office, Research Triangle Park, NC 27709, USA Received 19 April 2014; received in revised form 1 December 2014; accepted 3 December 2014 Available online 16 December 2014 Abstract A fast Fourier transform (FFT) based computational approach integrating phase-field method (PFM) and crystal plasticity (CP) is proposed to model recrystallization of plastically deformed polycrystals in three dimensions (3-D). CP at the grain level is em- ployed as the constitutive description to predict the inhomogeneous distribution of strain and stress fields after plastic deformation of a polycrystalline aggregate while the kinetics of recrystallization is obtained employing a PFM in the plastically deformed grain structure. The elasto-viscoplastic equilibrium is guaranteed during each step of temporal phase-field evolution. Static recrystalliza- tion involving plasticity during grain growth is employed as an example to demonstrate the proposed computational framework. The simulated recrystallization kinetics is compared using the classical Johnson–Mehl–Avrami–Kolmogorov (JMAK) theory. This study also gives us a new computational pathway to explore the plasticity-driven evolution of 3D microstructures. Published by Elsevier B.V. Keywords: Phase-field method; Crystal plasticity; Grain growth; Recrystallization 1. Introduction Microstructure plays a crucial role in determining the properties of polycrystalline materials, which therefore stimulated enormous efforts to tailor the microstructure of polycrystals by a combination of thermal and mechanical processes. One widely used process is static recrystallization (SRX) by annealing of plastically deformed grain ∗ Corresponding author. Tel.: +1 814 777 6248. E-mail address: luc28@psu.edu (L. Chen). 1 Current address: Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94550, USA. 2 Current address: Department of Materials Science and Engineering, Indian Institute of Technology Hyderabad, Ordnance Factory Campus, Yeddumailaram 502205, Andhra Pradesh, India. 3 Current address: Korea Atomic Energy Research Institute; 1045 Daedeo kdaero, Yuseong-gu, Daejeon, 305-353, Republic of Korea. http://dx.doi.org/10.1016/j.cma.2014.12.007 0045-7825/Published by Elsevier B.V.