Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms |
| |
| Institution: | 1. Materials Science and Technology Division, Los Alamos National Laboratory, MS G755, Los Alamos, NM 87845, USA;2. Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843, USA;1. Karlsruhe Institute of Technology (KIT), Institute of Engineering Mechanics (Continuum Mechanics), Kaiserstraße 12, 76131 Karlsruhe, Germany;2. Mines ParisTech, Centre des Matériaux, CNRS UMR 7633 BP 87, 91003 Evry Cedex, France;1. G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, 30332, GA, USA;2. Georgia Tech Lorraine/CNRS, 57070, Metz Cedex, France;3. Laboratoire d''Etude des Microstructures et de Mécanique des Matériaux, Université de Lorraine/CNRS, Ile du Saulcy, 57045, Metz Cedex, France;4. Materials Science and Technology Division, Los Alamos National Laboratory, MS G755, Los Alamos, NM 87845, USA;1. Civil Engineering Department, Johns Hopkins University, United States;2. Departments of Civil and Mechanical Engineering, Johns Hopkins University, United States;1. University of Waterloo, 200 University Ave. West, Waterloo, ON N2L 3G1, Canada;2. Los Alamos National Laboratory, MS G755, Los Alamos, NM 87845, USA;1. Materials Innovation Institute (M2i), P.O. Box 5008, 2600 GA Delft, The Netherlands;2. Eindhoven University of Technology, Department of Mechanical Engineering, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;3. Technische Universität Braunschweig, Institute of Scientific Computing, D-38092 Braunschweig, Germany;4. Czech Technical University in Prague, Department of Mechanics, Faculty of Civil Engineering, Thákurova 7, 166 29 Prague 6, Czech Republic |
| |
| Abstract: | We present the numerical implementation of a non-local polycrystal plasticity theory using the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation, with geometry changes neglected, has been incorporated in the EVP-FFT algorithm of Lebensohn et al. (2012). Numerical procedures for the accurate estimation of higher order derivatives of micromechanical fields, required for feedback into single crystal constitutive relations, are identified and applied. A simple case of a periodic laminate made of two fcc crystals with different plastic properties is first used to assess the soundness and numerical stability of the proposed algorithm and to study the influence of different model parameters on the predictions of the non-local model. Different behaviors at grain boundaries are explored, and the one consistent with the micro-clamped condition gives the most pronounced size effect. The formulation is applied next to 3-D fcc polycrystals, illustrating the possibilities offered by the proposed numerical scheme to analyze the mechanical response of polycrystalline aggregates in three dimensions accounting for size dependence arising from plastic strain gradients with reasonable computing times. |
| |
| Keywords: | Crystal plasticity Non-local plasticity Polycrystalline material Spectral methods Numerical algorithms |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
