A Nonlocal Phenomenological Anisotropic Finite Deformation Plasticity Model Accounting for Dislocation Defects

[+] Author and Article Information
Richard A. Regueiro, Douglas J. Bammann, 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

J. Eng. Mater. Technol 124(3), 380-387 (Jun 10, 2002) (8 pages) doi:10.1115/1.1480410 History: Received September 07, 2001; Revised March 15, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
Single edge dislocation perspective of multiplicative decomposition F=FeFp=eF⁁eFp.Fp and F⁁e are incompatible, and e is compatible.
Grahic Jump Location
Polycrystalline perspective of multiplicative decomposition F=FeFp (picture motivated from Ashby 9 and Naghdi and Srinivasa 27). Fp is incompatible as individual grains shear along their various slip systems and attempt to misorient with respect to each other. The incompatible part of Fe makes the deformation compatible by introducing GNDs at, or near, grain boundaries causing lattice curvature, while the compatible part of Fe is lattice stretching and rotation due to external loads.



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