A phenomenological, polycrystalline version of a nonlocal crystal plasticity model is formulated. The presence of geometrically necessary dislocations (GNDs) at, or near, grain boundaries is modeled as elastic lattice curvature through a curl of the elastic part of the deformation gradient. This spatial gradient of an internal state variable introduces a length scale, turning the local form of the model, an ordinary differential equation (ODE), into a nonlocal form, a partial differential equation (PDE) requiring boundary conditions. Small lattice elastic stretching results from the presence of dislocations and from macroscopic external loading. Finite deformation results from large plastic slip and large rotations. The thermodynamics and constitutive assumptions are written in the intermediate configuration in order to place the plasticity equations in the proper configuration for finite deformation analysis.
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July 2002
Technical Papers
A Nonlocal Phenomenological Anisotropic Finite Deformation Plasticity Model Accounting for Dislocation Defects
Richard A. Regueiro,
e-mail: raregue@sandia.gov
Richard A. Regueiro
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
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Douglas J. Bammann,
Douglas J. Bammann
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
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Esteban B. Marin,
Esteban B. Marin
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
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Krishna Garikipati
Krishna Garikipati
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI
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Richard A. Regueiro
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
e-mail: raregue@sandia.gov
Douglas J. Bammann
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
Esteban B. Marin
Materials and Engineering Sciences Center, Sandia National Laboratories, Livermore, CA 94551-0969
Krishna Garikipati
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division September 7, 2001; revised manuscript received March 15, 2002. Guest Editors: Tariq A. Khraishi and Hussein M. Zbib.
J. Eng. Mater. Technol. Jul 2002, 124(3): 380-387 (8 pages)
Published Online: June 10, 2002
Article history
Received:
September 7, 2001
Revised:
March 15, 2002
Online:
June 10, 2002
Citation
Regueiro, R. A., Bammann , D. J., Marin, E. B., and Garikipati, K. (June 10, 2002). "A Nonlocal Phenomenological Anisotropic Finite Deformation Plasticity Model Accounting for Dislocation Defects ." ASME. J. Eng. Mater. Technol. July 2002; 124(3): 380–387. https://doi.org/10.1115/1.1480410
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