TY - JOUR
T1 - A finite deformation theory of strain gradient plasticity
AU - Hwang, K. C.
AU - Jiang, H.
AU - Huang, Y.
AU - Gao, H.
AU - Hu, N.
N1 - Funding Information:
KCH acknowledges the support from the Ministry of Education, China. YH acknowledges NSF (grant CMS-0084980 and a supplement to grant CMS-9896285 from NSF International Program). HG acknowledges NSF (grant CMS-9979717). The support from NSFC is also acknowledged.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2002/1
Y1 - 2002/1
N2 - Plastic deformation exhibits strong size dependence at the micron scale, as observed in micro-torsion, bending, and indentation experiments. Classical plasticity theories, which possess no internal material lengths, cannot explain this size dependence. Based on dislocation mechanics, strain gradient plasticity theories have been developed for micron-scale applications. These theories, however, have been limited to infinitesimal deformation, even though the micro-scale experiments involve rather large strains and rotations. In this paper, we propose a finite deformation theory of strain gradient plasticity. The kinematics relations (including strain gradients), equilibrium equations, and constitutive laws are expressed in the reference configuration. The finite deformation strain gradient theory is used to model micro-indentation with results agreeing very well with the experimental data. We show that the finite deformation effect is not very significant for modeling micro-indentation experiments.
AB - Plastic deformation exhibits strong size dependence at the micron scale, as observed in micro-torsion, bending, and indentation experiments. Classical plasticity theories, which possess no internal material lengths, cannot explain this size dependence. Based on dislocation mechanics, strain gradient plasticity theories have been developed for micron-scale applications. These theories, however, have been limited to infinitesimal deformation, even though the micro-scale experiments involve rather large strains and rotations. In this paper, we propose a finite deformation theory of strain gradient plasticity. The kinematics relations (including strain gradients), equilibrium equations, and constitutive laws are expressed in the reference configuration. The finite deformation strain gradient theory is used to model micro-indentation with results agreeing very well with the experimental data. We show that the finite deformation effect is not very significant for modeling micro-indentation experiments.
KW - Finite deformation
KW - Micro-indentation
KW - Strain gradient plasticity
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U2 - 10.1016/S0022-5096(01)00020-5
DO - 10.1016/S0022-5096(01)00020-5
M3 - Article
AN - SCOPUS:0036131914
VL - 50
SP - 81
EP - 99
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
IS - 1
ER -