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Stability of strain-gradient plastic materials

Journal of the Mechanics and Physics of Solids, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dal Corso, Francesco, J. R. Willis
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Mechanism-Based Strain Gradient Crystal Plasticity

MRS Proceedings, 2004
AbstractTo model size dependent plastic deformation at micron and submicron length scales the theory of mechanism-based strain gradient plasticity (MSG) was developed. The MSG approach incorporates the concept of geometrically necessary dislocations into continuum plastic constitutive laws via Taylor hardening relation. This concept is extended here to
Chung-Souk Han   +3 more
openaire   +1 more source

Elastic-gap free formulation in strain gradient plasticity theory

Journal of applied mechanics
This paper presents an elastic-gap free isotropic higher-order strain gradient plasticity theory that effectively captures dissipation associated to plastic strain gradients.
Anjan Mukherjee, Biswanath Banerjee
semanticscholar   +1 more source

A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations

Mathematische Annalen
We derive a strain-gradient theory for plasticity as the Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Stefano Almi   +3 more
semanticscholar   +1 more source

Computational strain gradient crystal plasticity

Journal of the Mechanics and Physics of Solids, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niordson, Christian F.   +1 more
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Strain gradients in plasticity

Acta Mechanica, 1977
An analytical model of a plastically deforming solid is assumed to be a material where the second spatial gradients of strain are included in the constitutive equations. These constitutive equations are combined, in a one dimensional shearing problem, with the second law of thermodynamics and condition of thermodynamic stability. The results are that a
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Plane-Stress Deformation in Strain Gradient Plasticity

Journal of Applied Mechanics, 1999
A systematic approach is proposed to derive the governing equations and boundary conditions for strain gradient plasticity in plane-stress deformation. The displacements, strains, stresses, strain gradients and higher-order stresses in three-dimensional strain gradient plasticity are expanded into a power series of the thickness h in the out-of-plane ...
Chen, J. Y.   +3 more
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A strain space gradient plasticity theory for finite strain

Computer Methods in Applied Mechanics and Engineering, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chambon R.   +2 more
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Mechanism-based strain gradient plasticity—II. Analysis

Journal of the Mechanics and Physics of Solids, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Y.   +3 more
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Formulations of Strain Gradient Plasticity

2011
In the literature, different proposals for a strain gradient plasticity theory exist. So there is still a debate on the formulation of strain gradient plasticity models used for predicting size effects in the plastic deformation of materials. Three such formulations from the literature are discussed in this work.
Forest, Samuel, Bertram, A.
openaire   +2 more sources

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