A critical assessment of theories of strain gradient plasticity

被引:179
作者
Evans, A. G. [2 ,3 ]
Hutchinson, J. W. [1 ]
机构
[1] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA
[2] Univ Calif Santa Barbara, Dept Mat Engn, Santa Barbara, CA 93106 USA
[3] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA
关键词
Plasticity; Size effects; Geometrically necessary dislocations; Bending; SINGLE-CRYSTALS; LENGTH SCALE; SIZE; INDENTATION; VISCOPLASTICITY; DEFORMATION; DISLOCATION; HARDNESS;
D O I
10.1016/j.actamat.2008.12.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Theories to extend plasticity to the micron scale have been in existence for over a decade, complemented by a growing body of experimental data. Here. materials and mechanics aspects of two Prominent strain gradient theories of Plasticity. due to Nix and Ciao and to Fleck and Hutchinson. are assessed within the context of simple bending. Differences between the theories are highlighted. The theories predict different trends relative to the size dependence of initial yielding and rate of hardening. The dislocation mechanics underpinning the two theories is addressed. Distinctions between lower-order theories and higher-order theories are also drawn, emphasizing the flexibility of higher-order theories to solve Problems for a wide range of boundary conditions, especially those where. locally. the dislocations are blocked (Pile LIP) and the plastic strain is zero. (C) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1675 / 1688
页数:14
相关论文
共 33 条
[1]   ON THE MICROSTRUCTURAL ORIGIN OF CERTAIN INELASTIC MODELS [J].
AIFANTIS, EC .
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1984, 106 (04) :326-330
[2]   Interfaces within strain gradient plasticity: Theory and experiments [J].
Aifantis, K. E. ;
Soer, W. A. ;
De Hosson, J. Th. M. ;
Willis, J. R. .
ACTA MATERIALIA, 2006, 54 (19) :5077-5085
[3]   Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density [J].
Arsenlis, A ;
Parks, DM .
ACTA MATERIALIA, 1999, 47 (05) :1597-1611
[4]   DEFORMATION OF PLASTICALLY NON-HOMOGENEOUS MATERIALS [J].
ASHBY, MF .
PHILOSOPHICAL MAGAZINE, 1970, 21 (170) :399-&
[5]   Incompatibility and a simple gradient theory of plasticity [J].
Bassani, JL .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2001, 49 (09) :1983-1996
[6]   The mechanics of size-dependent indentation [J].
Begley, MR ;
Hutchinson, JW .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (10) :2049-2068
[7]   Comparison of discrete dislocation and continuum plasticity predictions for a composite material [J].
Cleveringa, HHM ;
VanderGiessen, E ;
Needleman, A .
ACTA MATERIALIA, 1997, 45 (08) :3163-3179
[8]   Mechanical properties of nanocrystalline nickel produced by electrodeposition [J].
Ebrahimi, F ;
Bourne, GR ;
Kelly, MS ;
Matthews, TE .
NANOSTRUCTURED MATERIALS, 1999, 11 (03) :343-350
[9]   Grain size and sample size interact to determine strength in a soft metal [J].
Ehrler, B. ;
Hou, X. D. ;
Zhu, T. T. ;
Png, K. M. Y. ;
Walker, C. J. ;
Bushby, A. J. ;
Dunstan, D. J. .
PHILOSOPHICAL MAGAZINE, 2008, 88 (25) :3043-3050
[10]   Non-local crystal plasticity model with intrinsic SSD and GND effects [J].
Evers, LP ;
Brekelmans, WAM ;
Geers, MGD .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2004, 52 (10) :2379-2401