Access the full text.
Sign up today, get DeepDyve free for 14 days.
L. Kubin, G. Canova (1992)
The modelling of dislocation patternsScripta Metallurgica Et Materialia, 27
E. Aifantis (2003)
Update on a class of gradient theoriesMechanics of Materials, 35
N. Fleck, G. Muller, M. Ashby, J. Hutchinson (1994)
Strain gradient plasticity: Theory and experimentActa Metallurgica Et Materialia, 42
M. Kuroda, V. Tvergaard (2008)
A finite deformation theory of higher-order gradient crystal plasticityJournal of The Mechanics and Physics of Solids, 56
Z. Liu, X. Liu, Z. Zhuang, X. You (2009)
A multi-scale computational model of crystal plasticity at submicron-to-nanometer scalesInternational Journal of Plasticity, 25
E. Aifantis (1984)
On the Microstructural Origin of Certain Inelastic ModelsJournal of Engineering Materials and Technology-transactions of The Asme, 106
M. Gurtin (2002)
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocationsJournal of The Mechanics and Physics of Solids, 50
J. Greer, W. Oliver, W. Nix (2005)
Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradientsActa Materialia, 53
Y. Shen, S. Suresh, M. He, A. Bagchi, O. Kienzle, M. Rühle, A. Evans (1998)
Stress evolution in passivated thin films of Cu on silica substratesJournal of Materials Research, 13
A. Acharya (2001)
A model of crystal plasticity based on the theory of continuously distributed dislocationsJournal of The Mechanics and Physics of Solids, 49
J. Nye (1953)
Some geometrical relations in dislocated crystalsActa Metallurgica, 1
J. Shu, N. Fleck, V. Giessen, A. Needleman (2001)
Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticityJournal of The Mechanics and Physics of Solids, 49
T. Ohashi (1997)
Finite-element analysis of plastic slip and evolution of geometrically necessary dislocations in fcc crystalsPhilosophical Magazine Letters, 75
M. Zaiser, E. Aifantis (2006)
Randomness and slip avalanches in gradient plasticityInternational Journal of Plasticity, 22
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
J. Vlassak, W. Nix (1992)
A new bulge test technique for the determination of Young’s modulus and Poisson’s ratio of thin filmsJournal of Materials Research, 7
Chung-Souk Han, Huajian Gao, Yonggang Huang, W. Nix (2005)
Mechanism-based strain gradient crystal plasticity—I. TheoryJournal of The Mechanics and Physics of Solids, 53
Lp Evers, W. Brekelmans, M. Geers (2004)
Non-local crystal plasticity model with intrinsic SSD and GND effectsJournal of The Mechanics and Physics of Solids, 52
Z. Liu, X. Liu, Z. Zhuang, X. You (2009)
Atypical three-stage-hardening mechanical behavior of Cu single-crystal micropillarsScripta Materialia, 60
M. Uchic, D. Dimiduk, J. Florando, W. Nix (2004)
Sample Dimensions Influence Strength and Crystal PlasticityScience, 305
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
J. Hutchinson N. Fleck (1997)
Strain gradient plasticitySolid Mechanics, 33
M. Gurtin, L. Anand (2006)
A gradient theory for single-crystal plasticityModelling and Simulation in Materials Science and Engineering, 15
M. Gurtin (2008)
A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocationsInternational Journal of Plasticity, 26
L. Nicola, E. Giessen, M. Gurtin (2005)
Effect of defect energy on strain-gradient predictions of confined single-crystal plasticityJournal of The Mechanics and Physics of Solids, 53
M. Gurtin, L. Anand, S. Lele (2007)
Gradient single-crystal plasticity with free energy dependent on dislocation densitiesJournal of The Mechanics and Physics of Solids, 55
L. Nicola, E. Giessen, A. Needleman (2003)
Discrete dislocation analysis of size effects in thin filmsJournal of Applied Physics, 93
Z. Shan, R. Mishra, S. Asif, O. Warren, A. Minor (2008)
Mechanical annealing and source-limited deformation in submicrometre-diameter Ni crystals.Nature materials, 7 2
G. Dehm, T. Balk, H. Edongué, E. Arzt (2003)
Small-scale plasticity in thin Cu and Al filmsMicroelectronic Engineering, 70
L. Anand, M. Gurtin, S. Lele, C. Gething (2005)
A one-dimensional theory of strain-gradient plasticity : Formulation, analysis, numerical resultsJournal of The Mechanics and Physics of Solids, 53
J. Hirth (1968)
Theory of Dislocations
A. Arsenlis, D. Parks (1999)
Crystallographic aspects of geometrically-necessary and statistically-stored dislocation densityActa Materialia, 47
Huajian Gao, Yonggang Huang, W. Nix, J. Hutchinson (1999)
Mechanism-based strain gradient plasticity— I. TheoryJournal of The Mechanics and Physics of Solids, 47
L. Nicola, E. Giessen, A. Needleman (2005)
Size effects in polycrystalline thin films analyzed by discrete dislocation plasticityThin Solid Films, 479
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
M. Hommel, O. Kraft (2001)
Deformation behavior of thin copper films on deformable substratesActa Materialia, 49
M. Ashby (1970)
The deformation of plastically non-homogeneous materialsPhilosophical Magazine, 21
V. Deshpande, A. Needleman, V. Giessen (2005)
Plasticity size effects in tension and compression of single crystalsJournal of The Mechanics and Physics of Solids, 53
E. Aifantis (1995)
From Micro- to Macro-Plasticity: The Scale Invariance ApproachJournal of Engineering Materials and Technology-transactions of The Asme, 117
J. Florando, W. Nix (2004)
A microbeam bending method for studying stress–strain relations for metal thin films on silicon substratesJournal of The Mechanics and Physics of Solids, 53
M.E. Gurtin (2008)
A finite-deformation, gradient theory of singlecrystal plasticity with free energy dependent on densities of geometrically necessary dislocationsInternational Journal of Plasticity, 24
Chung-Souk Han, Huajian Gao, Yonggang Huang, W. Nix (2004)
Mechanism-Based Strain Gradient Crystal PlasticityMRS Proceedings, 821
I. Groma, F. Csikor, M. Zaiser (2003)
Spatial Correlations and Higher-Order Gradient Terms in a Continuum Description of Dislocation DynamicsActa Materialia, 51
S. Yefimov, I. Groma, E. Giessen (2004)
A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculationsJournal of The Mechanics and Physics of Solids, 52
M. Kuroda, V. Tvergaard (2008)
On the formulations of higher-order strain gradient crystal plasticity modelsJournal of The Mechanics and Physics of Solids, 56
J. Gerken, P. Dawson (2008)
A crystal plasticity model that incorporates stresses and strains due to slip gradientsJournal of The Mechanics and Physics of Solids, 56
N. Fleck, J. Hutchinson (2001)
A reformulation of strain gradient plasticityJournal of The Mechanics and Physics of Solids, 49
Y. Xiang, J. Vlassak (2006)
Bauschinger and size effects in thin-film plasticityActa Materialia, 54
H.H.M. Cleveringa, V. Giessen, A. Needleman (1999)
A discrete dislocation analysis of bendingInternational Journal of Plasticity, 15
P. Alonso, G. Rubiolo (2007)
The role of multisite interactions in the formation energy of bcc γ(U,Mo) disordered phaseModelling and Simulation in Materials Science and Engineering, 15
E. Bittencourt, A. Needleman, M. Gurtin, V. Giessen (2003)
A comparison of nonlocal continuum and discrete dislocation plasticity predictionsJournal of The Mechanics and Physics of Solids, 51
Abstract The Bauschinger and size effects in the thin-film plasticity theory arising from the defect-energy of geometrically necessary dislocations (GNDs) are analytically investigated in this paper. Firstly, this defect-energy is deduced based on the elastic interactions of coupling dislocations (or pile-ups) moving on the closed neighboring slip plane. This energy is a quadratic function of the GNDs density, and includes an elastic interaction coefficient and an energetic length scale L. By incorporating it into the workconjugate strain gradient plasticity theory of Gurtin, an energetic stress associated with this defect energy is obtained, which just plays the role of back stress in the kinematic hardening model. Then this back-stress hardening model is used to investigate the Bauschinger and size effects in the tension problem of single crystal Al films with passivation layers. The tension stress in the film shows a reverse dependence on the film thickness h. By comparing it with discrete-dislocation simulation results, the length scale L is determined, which is just several slip plane spacing, and accords well with our physical interpretation for the defectenergy. The Bauschinger effect after unloading is analyzed by combining this back-stress hardening model with a friction model. The effects of film thickness and pre-strain on the reversed plastic strain after unloading are quantified and qualitatively compared with experiment results.
"Acta Mechanica Sinica" – Springer Journals
Published: Apr 1, 2011
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.