Constraint and size effects in confined layer plasticity

Kuroda, Mitsutoshi; Tvergaard, Viggo; Needleman, Alan

doi:10.1016/j.jmps.2021.104328

Constraint and size effects in confined layer plasticity

Journal Article · Wed Jan 27 00:00:00 EST 2021 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2021.104328· OSTI ID:1772479

^[1]; Tvergaard, Viggo ^[2]; Needleman, Alan ^[3]

Yamagata Univ. (Japan); Texas A&M University
Technical Univ. of Denmark, Lyngby (Denmark)
Texas A & M Univ., College Station, TX (United States)

Plane strain finite element analyses are used to model the experiments for a thin metal layer confined between elastic solids. Here, the thin metal layer undergoes elastic-plastic deformations, here modelled by strain gradient plasticity, while the rest of the solid deforms only elastically. Plane strain is assumed and finite strains are accounted for. The microscopic boundary condition at the band interface is initially taken to be zero plastic strain increment, but plastic straining at the interface is allowed when the plastic strain gradient at the interface has exceeded a critical value. When the narrow metal band is inclined 45° relative to the direction of compression of the solid simple shear develops in the band and predictions are rather similar to those of a one-dimensional analysis for an infinite band. For a band at 90° the elastic parts give significant constraint on plastic flow, the stress fields are non-uniform along the band and the average nominal compressive stress shows strong sensitivity to the layer thickness and to the width of the specimen. Remarkably good qualitative, and in some cases quantitative, agreement is found with the experimental observations. Considering also other band angles, both the average nominal shear and compressive stress show variations with the angle.

View Accepted Manuscript (DOE)

Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: JSPS KAKENHI; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003857

OSTI ID:: 1772479

Alternate ID(s):: OSTI ID: 1776121

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Vol. 149; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (26)

On the gradient-dependent theory of plasticity and shear banding Zbib, H. M.; Aifantis, E. C. Acta Mechanica, Vol. 92, Issue 1-4 https://doi.org/10.1007/BF01174177	journal	March 1992
A strain-gradient plasticity theory with a corner-like effect: a thermodynamics-based extension Kuroda, Mitsutoshi International Journal of Fracture, Vol. 200, Issue 1-2 https://doi.org/10.1007/s10704-015-0055-9	journal	November 2015
Some geometrical relations in dislocated crystals Nye, J. F. Acta Metallurgica, Vol. 1, Issue 2 https://doi.org/10.1016/0001-6160(53)90054-6	journal	March 1953
A variational principle for gradient plasticity Mühlhaus, H. -B.; Alfantis, E. C. International Journal of Solids and Structures, Vol. 28, Issue 7 https://doi.org/10.1016/0020-7683(91)90004-Y	journal	January 1991
Strain gradient plasticity: Theory and experiment Fleck, N. A.; Muller, G. M.; Ashby, M. F. Acta Metallurgica et Materialia, Vol. 42, Issue 2 https://doi.org/10.1016/0956-7151(94)90502-9	journal	February 1994
Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions Bassani, J. L.; Needleman, A.; Van der Giessen, E. International Journal of Solids and Structures, Vol. 38, Issue 5 https://doi.org/10.1016/S0020-7683(00)00059-7	journal	February 2001
A phenomenological plasticity model with non-normality effects representing observations in crystal plasticity Kuroda, Mitsutoshi; Tvergaard, Viggo Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 6 https://doi.org/10.1016/S0022-5096(00)00080-6	journal	June 2001
A reformulation of strain gradient plasticity Fleck, N. A.; Hutchinson, J. W. Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 10 https://doi.org/10.1016/S0022-5096(01)00049-7	journal	October 2001
Lattice incompatibility and a gradient theory of crystal plasticity Acharya, A. Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 8 https://doi.org/10.1016/S0022-5096(99)00075-7	journal	August 2000
Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients Greer, Julia R.; Oliver, Warren C.; Nix, William D. Acta Materialia, Vol. 53, Issue 6 https://doi.org/10.1016/j.actamat.2004.12.031	journal	April 2005
Mechanical failure of metal/ceramic interfacial regions under shear loading Zhang, Xiaoman; Zhang, Bin; Mu, Yang Acta Materialia, Vol. 138 https://doi.org/10.1016/j.actamat.2017.07.053	journal	October 2017
Micro-pillar measurements of plasticity in confined Cu thin films Mu, Yang; Hutchinson, J. W.; Meng, W. J. Extreme Mechanics Letters, Vol. 1 https://doi.org/10.1016/j.eml.2014.12.001	journal	December 2014
A simple model for size effects in constrained shear Kuroda, Mitsutoshi; Needleman, Alan Extreme Mechanics Letters, Vol. 33 https://doi.org/10.1016/j.eml.2019.100581	journal	November 2019
Fractional strain-gradient plasticity Dahlberg, C. F. O.; Ortiz, M. European Journal of Mechanics - A/Solids, Vol. 75 https://doi.org/10.1016/j.euromechsol.2019.02.006	journal	May 2019
An alternative treatment of phenomenological higher-order strain-gradient plasticity theory Kuroda, Mitsutoshi; Tvergaard, Viggo International Journal of Plasticity, Vol. 26, Issue 4 https://doi.org/10.1016/j.ijplas.2009.09.001	journal	April 2010
Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of Aifantis and Fleck and Hutchinson and their generalization Gurtin, Morton E.; Anand, Lallit Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 3 https://doi.org/10.1016/j.jmps.2008.12.002	journal	March 2009
Plasticity in small-sized metallic systems: Intrinsic versus extrinsic size effect Greer, Julia R.; De Hosson, Jeff Th. M. Progress in Materials Science, Vol. 56, Issue 6 https://doi.org/10.1016/j.pmatsci.2011.01.005	journal	August 2011
The deformation of plastically non-homogeneous materials Ashby, M. F. The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 21, Issue 170 https://doi.org/10.1080/14786437008238426	journal	February 1970
Fundamental Issues in Finite Element Analyses of Localization of Deformation De Borst, R.; Sluys, L. J.; Muhlhaus, H. ‐B. Engineering Computations, Vol. 10, Issue 2 https://doi.org/10.1108/eb023897	journal	February 1993
On the Microstructural Origin of Certain Inelastic Models Aifantis, E. C. Journal of Engineering Materials and Technology, Vol. 106, Issue 4 https://doi.org/10.1115/1.3225725	journal	October 1984
The Shear Response of a Thin Aluminum Layer Tagarielli, V. L.; Fleck, N. A. Journal of Applied Mechanics, Vol. 78, Issue 1 https://doi.org/10.1115/1.4002210	journal	October 2010
Guidelines for Constructing Strain Gradient Plasticity Theories Fleck, N. A.; Hutchinson, J. W.; Willis, J. R. Journal of Applied Mechanics, Vol. 82, Issue 7 https://doi.org/10.1115/1.4030323	journal	July 2015
Sample Dimensions Influence Strength and Crystal Plasticity Uchic, M. D. Science, Vol. 305, Issue 5686 https://doi.org/10.1126/science.1098993	journal	August 2004
Size dependent hardness of silver single crystals Ma, Qing; Clarke, David R. Journal of Materials Research, Vol. 10, Issue 4 https://doi.org/10.1557/JMR.1995.0853	journal	April 1995
Measuring critical stress for shear failure of interfacial regions in coating/interlayer/substrate systems through a micro-pillar testing protocol Mu, Yang; Zhang, Xiaoman; Hutchinson, John W. Journal of Materials Research, Vol. 32, Issue 8 https://doi.org/10.1557/jmr.2016.516	journal	January 2017
Dependence of confined plastic flow of polycrystalline Cu thin films on microstructure Mu, Yang; Zhang, Xiaoman; Hutchinson, J. W. MRS Communications, Vol. 6, Issue 3 https://doi.org/10.1557/mrc.2016.20	journal	July 2016

Similar Records

Kink band and shear band localization in anisotropic perfectly plastic solids

Journal Article · Tue Oct 27 20:00:00 EDT 2020 · Journal of the Mechanics and Physics of Solids · OSTI ID:1699471

Homogenization of plastic deformation in metallic glass foils less than one micrometer thick

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:21502868

Related Subjects

36 MATERIALS SCIENCE
Plastic constraint
Size effects
Microscopic boundary conditions
Strain gradient plasticity

Constraint and size effects in confined layer plasticity

Citation Formats

References (26)

Similar Records

Related Subjects