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On elastic and plastic length scales in strain gradient plasticity

Structural Engineering and Mechanics, 2017
The Fleck-Hutchinson theory on strain gradient plasticity (SGP), proposed in Adv. Appl Mech 33 (1997) 295, has recently been reformulated by adopting the strategy of decomposing the second order strain presented by Lam et al. in J Mech Pays Solids 51 (2003) 1477. The newly built SGP satisfies the non negativity of plastic dissipation, which is still an
J.X. Liu   +3 more
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A unified treatment of strain gradient plasticity

Journal of the Mechanics and Physics of Solids, 2004
A theoretical framework is presented that has potential to cover a large range of strain gradient plasticity effects in isotropic materials.
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An Explicit Approach for Strain Gradient Plasticity Formulations

AIP Conference Proceedings, 2010
Explicit finite element approaches exhibit several advantages over implicit method including easy treatment of dynamic effects and instability problems. These problems also arise for materials and structures at small length scales. At small length scales however size effects are present and are often treated with strain gradient plasticity formulations.
Myoung-Gyu Lee   +4 more
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On the current understanding of strain gradient plasticity

Materials Science and Engineering: A, 2004
Some current strain gradient plasticity theories of non-homogeneous deformation and size effects are discussed critically, in particular with respect to the question how the density of geometrically necessary dislocations contributes to the flow stress.
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On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity

Journal of the Mechanics and Physics of Solids, 2004
Through linearized analysis and computation, we show that lower-order gradient plasticity is compatible with boundary conditions, thus expanding its predictive capability. A physically motivated gradient modification of the conventional Voce hardening law is shown to lead to a convective stabilizing effect in 1-D, rate-independent plasticity.
Sunil Saigal   +3 more
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A Strain-Rate Gradient Theory of Plasticity and its Comparison with Strain Gradient Theories

Applied Mechanics and Materials, 2013
Gradient theories of plasticity play an important role in the description of inelastic behavior of materials. Usually, these theories involve space derivatives of stress or strain. On the other hand, conventional theories of plasticity can be divided into two groups, flow and deformation theories.
Sergei Alexandrov   +2 more
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A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity

GAMM-Mitteilungen, 2019
Motivated by the increasing interest of the biomechanical community towards the employment of strain‐gradient theories for solving biological problems, we study the growth and remodeling of a biological tissue on the basis of a strain‐gradient ...
A. Grillo   +3 more
semanticscholar   +1 more source

Strain gradient plasticity phenomenon in surface treated plain carbon steel

Materials Science & Engineering: A, 2023
T. Asumadu   +7 more
semanticscholar   +1 more source

On the role of moving elastic–plastic boundaries in strain gradient plasticity

Modelling and Simulation in Materials Science and Engineering, 2006
Gradient plasticity theories which are used to describe size effects require nonstandard boundary conditions. We believe that the role of these boundary conditions in combination with a moving elastic–plastic boundary has so far not been well understood. In order to clarify the conditions which are required at such an internal boundary, semi-analytical
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Modeling intrinsic size effects using dislocation density-based strain gradient plasticity

Mechanics research communications, 2023
Anirban Patra, Namit N. Pai, P. Sharma
semanticscholar   +1 more source

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