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Rab Engelen, N. Fleck, Rhj Peerlings, M. Geers (2006)
An evaluation of higher-order plasticity theories for predicting size effects and localisationInternational Journal of Solids and Structures, 43
Yonggang Huang, S. Qu, K. Hwang, Ming Li, Huajian Gao (2004)
A conventional theory of mechanism-based strain gradient plasticityInternational Journal of Plasticity, 20
B. Legarth, V. Tvergaard, M. Kuroda (2002)
Effects of plastic anisotropy on crack-tip behaviourInternational Journal of Fracture, 117
P. Lejček, V. Šíma (1983)
Orientation relationships in the secondary recrystallization of pure nickelMaterials Science and Engineering, 60
D. Yu, F. Spaepen (2004)
The yield strength of thin copper films on KaptonJournal of Applied Physics, 95
R. Saha, Zhenyu Xue, Young Huang, W. Nix (2001)
Indentation of a soft metal film on a hard substrate: strain gradient hardening effectsJournal of The Mechanics and Physics of Solids, 49
N. Fleck, G. Muller, M. Ashby, J. Hutchinson (1994)
Strain gradient plasticity: Theory and experimentActa Metallurgica Et Materialia, 42
Teng Li, Z. Suo (2006)
Deformability of thin metal films on elastomer substratesInternational Journal of Solids and Structures, 43
R. Hill (1950)
The mathematical theory of plasticity
Q. Ma, D. Clarke (1995)
Size dependent hardness of silver single crystalsJournal of Materials Research, 10
B. Legarth (2007)
Strain-gradient effects in anisotropic materialsModelling and Simulation in Materials Science and Engineering, 15
K. Hwang, Hanqing Jiang, Yonggang Huang, Huajian Gao, N. Hu (2002)
A finite deformation theory of strain gradient plasticityJournal of The Mechanics and Physics of Solids, 50
K. Shizawa, H. Zbib (1999)
A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: FundamentalsInternational Journal of Plasticity, 15
A. Benallal, V. Tvergaard (1995)
Nonlocal continuum effects on bifurcation in the plane strain tension-compression testJournal of The Mechanics and Physics of Solids, 43
U. Borg, C. Niordson, N. Fleck, V. Tvergaard (2006)
A viscoplastic strain gradient analysis of materials with voids or inclusionsInternational Journal of Solids and Structures, 43
B. Legarth (2005)
Effects of geometrical anisotropy on failure in a plastically anisotropic metalEngineering Fracture Mechanics, 72
I. Groma, G. Pawley (1993)
Role of the secondary slip system in a computer simulation model of the plastic behaviour of single crystalsMaterials Science and Engineering A-structural Materials Properties Microstructure and Processing, 164
J. Stolken, A. Evans (1998)
A microbend test method for measuring the plasticity length scaleActa Materialia, 46
H. Espinosa, B. Prorok, M. Fischer (2003)
A methodology for determining mechanical properties of freestanding thin films and MEMS materialsJournal of The Mechanics and Physics of Solids, 51
C. Niordson, V. Tvergaard (2005)
Instabilities in power law gradient hardening materialsInternational Journal of Solids and Structures, 42
M. Haque, M. Saif (2004)
Deformation mechanisms in free-standing nanoscale thin films: a quantitative in situ transmission electron microscope study.Proceedings of the National Academy of Sciences of the United States of America, 101 17
R.R Keller, J.M Phelps, D.T Read (1996)
Tensile and fracture behavior of free-standing copper filmsMaterials Science and Engineering A-structural Materials Properties Microstructure and Processing, 214
C. Niordson, P. Redanz (2004)
Size-effects in plane strain sheet-neckingJournal of The Mechanics and Physics of Solids, 52
Y. Dafalias (1985)
The Plastic SpinJournal of Applied Mechanics, 52
P. Gudmundson (2004)
A unified treatment of strain gradient plasticityJournal of The Mechanics and Physics of Solids, 52
N. Fleck, J. Hutchinson (1997)
Strain gradient plasticityAdvances in Applied Mechanics, 33
Yonggang Huang, Huajian Gao, W. Nix, J. Hutchinson (2000)
Mechanism-based strain gradient plasticity—II. AnalysisJournal of The Mechanics and Physics of Solids, 48
A. Gulluoglu, D. Srolovitz, R. LeSar, P. Lomdahl (1989)
Dislocation distributions in two dimensionsScripta Metallurgica, 23
J. Hutchinson (2000)
Plasticity at the micron scaleInternational Journal of Solids and Structures, 37
E.H. Lee (1969)
Elastic-plastic deformation at finite strainTrans. ASME Ser. E J. Appl. Mech., 36
L. Moen, M. Langseth, O. Hopperstad (1998)
Elastoplastic Buckling of Anisotropic Aluminum Plate ElementsJournal of Structural Engineering-asce, 124
Haibo Huang, F. Spaepen (2000)
Tensile testing of free-standing Cu, Ag and Al thin films and Ag/Cu multilayersActa Materialia, 48
R. Hill (1948)
A theory of the yielding and plastic flow of anisotropic metalsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 193
W. Nix, Huajian Gao (1998)
Indentation size effects in crystalline materials: A law for strain gradient plasticityJournal of The Mechanics and Physics of Solids, 46
D. Borst, J. Pamin (1996)
Some novel developments in finite element procedures for gradient-dependent plasticityInternational Journal for Numerical Methods in Engineering, 39
M. Kuroda, V. Tvergaard (2001)
Plastic spin associated with a non-normality theory of plasticityEuropean Journal of Mechanics A-solids, 20
B.N. Legarth (2002)
. On-line publication of WCCM V—Fifth World Congress on Computational Mechanics
H. Muhlhaus, E. Alfantis (1991)
A variational principle for gradient plasticityInternational Journal of Solids and Structures, 28
T.S. Orekhova M.M. Borodkina (1982)
Mechanism of formation of a cubic texture in materials with the FCC latticeFizika Metall. Metall., 54
Huajian Gao, Yonggang Huang, W. Nix, J. Hutchinson (1999)
Mechanism-based strain gradient plasticity— I. TheoryJournal of The Mechanics and Physics of Solids, 47
H. Espinosa, B. Prorok, B. Peng (2004)
Plasticity size effects in free-standing submicron polycrystalline FCC films subjected to pure tensionJournal of The Mechanics and Physics of Solids, 52
F. Barlat, Daniel Lege, John Brem (1991)
A six-component yield function for anisotropic materialsInternational Journal of Plasticity, 7
M. Kuroda, V. Tvergaard (2000)
Forming limit diagrams for anisotropic metal sheets with different yield criteriaInternational Journal of Solids and Structures, 37
V. Giessen, A. Needleman (1995)
Discrete dislocation plasticity: a simple planar modelModelling and Simulation in Materials Science and Engineering, 3
D. Lloyd (1994)
Particle reinforced aluminium and magnesium matrix compositesInternational Materials Reviews, 39
R. Al-Rub, G. Voyiadjis (2006)
A physically based gradient plasticity theoryInternational Journal of Plasticity, 22
M. Haque, M. Saif (2003)
Strain gradient effect in nanoscale thin filmsActa Materialia, 51
En-Jui Lee (1969)
Elastic-Plastic Deformation at Finite StrainsJournal of Applied Mechanics, 36
Per Fredriksson, P. Gudmundson (2005)
Size-dependent yield strength of thin filmsInternational Journal of Plasticity, 21
G. Voyiadjis, Rashid Al-Rub (2006)
A Finite Strain Plastic-damage Model for High Velocity Impacts using Combined Viscosity and Gradient Localization Limiters: Part II - Numerical Aspects and SimulationsInternational Journal of Damage Mechanics, 15
N. Fleck, J. Hutchinson (2001)
A reformulation of strain gradient plasticityJournal of The Mechanics and Physics of Solids, 49
C. Polizzotto (2003)
Unified thermodynamic framework for nonlocal/gradient continuum theoriesEuropean Journal of Mechanics A-solids, 22
M. Kuroda (1997)
Interpretation of the behavior of metals under large plastic shear deformations : A macroscopic approachInternational Journal of Plasticity, 13
Abstract Necking of stubby micro-films of aluminum is investigated numerically by considering tension of a specimen with an initial imperfection used to onset localisation. Plastic anisotropy is represented by two different yield criteria and strain-gradient effects are accounted for using the visco-plastic finite strain model. Furthermore, the model is extended to isotropic anisotropic hardening (evolving anisotropy). For isotropic hardening plastic anisotropy affects the predicted overall nominal stress level, while the peak stress remains at an overall logarithmic strain corresponding to the hardening exponent. This holds true for both local and nonlocal materials. Anisotropic hardening delays the point of maximum overall nominal stress.
"Acta Mechanica Sinica" – Springer Journals
Published: Oct 1, 2008
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