A framework for numerical integration of crystal elasto-plastic constitutive equations compatible with explicit finite element codes |
| |
| Institution: | 1. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, United States. Tel.: +1 225 388 8668; fax: +1 225 388 8662;2. Department of Chemical Science and Technology, University “Toe Vergata”, Rome, Italy;1. Institute for Nuclear Materials Science, SCK•CEN, Boeretang 200, 2400 Mol, Belgium;2. iMMC, Université catholique de Louvain, Av. Georges Lemaître 4, 1348 Louvain-la-Neuve, Belgium;3. Department of Applied Physics, Ghent University, St. Pietersnieuwstraat 41, 9000 Ghent, Belgium;1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Department of Mechanical Engineering, Materials Department, University of California at Santa Barbara, Santa Barbara, CA 93106, USA;1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;3. Weapons and Materials Research Directorate, US Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA;1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;1. Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;2. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA |
| |
| Abstract: | In this paper we summarize the elements of a numerical integration scheme for elasto-plastic response of single crystals. This is intended to be compatible with large-scale explicit finite element codes and therefore can be used for problems involving multiple crystals and also overall behavior of polycrystalline materials. The steps described here are general for anisotropic elastic and plastic response of crystals. The crystallographic axes of the lattice are explicitly stored and updated at each time step. A plastic predictor–elastic corrector scheme is used to calculate the plastic strain rates on all active slip systems based on a rate-dependent physics-based constitutive model without the need of further auxiliary assumptions. Finally we present the results of numerous calculations using a physics-based rate- and temperature-dependent model of copper and the effect of elastic unloading, elastic crystal anisotropy, and deformation-induced lattice rotation are emphasized. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
