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Nonlocal and gradient rate plasticity
International Journal of Solids and Structures, 2004Abstract This paper deals with a formulation of nonlocal and gradient plasticity with internal variables. The constitutive model complies with local internal variables which govern kinematic hardening and isotropic softening and with a nonlocal corrective internal variable defined either as the sum between a new internal variable and its spatial ...
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A variational principle for gradient plasticity
International Journal of Solids and Structures, 1991Abstract We elaborate on a generalized plasticity model which belongs to the class of gradient models suggested earlier by Aifantis and co-workers. The generalization of the conventional theory of plasticity has been accomplished by the inclusion of higher-order spatial gradients of the equivalent plastic strain in the yield condition.
E.C. Alfantis, Hans Muhlhaus
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On Gradient Nanomechanics: Plastic Flow in Nanopolycrystals
Materials Science Forum, 2010Gradient nanomechanics is a generalized continuum mechanics framework accounting for “bulk-surface” interactions in the form of gradient terms that enter in the evolution equations of the relevant constitutive variables and/or in the governing field equations.
Xu Zhang +2 more
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Plastic axial gradient-index lens
Applied Optics, 1985An axial gradient-index (GRIN) lens, where the refractive index varies along the optical axis of a convex lens, can reduce the spherical aberration compared with the conventional homogeneous lens. The transparent plastic axial GRIN material was successfully fabricated by chemical copolymerization and diffusion techniques.
Hiroshi Hidaka +2 more
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A strain gradient theory of plasticity
International Journal of Solids and Structures, 1970Abstract A theory which includes first and second strain gradients is proposed as a model for plastic deformations. Heuristic arguments for including the gradients are also given. The main goal is to develop a logical framework in which behavior on a small scale can interact with the response on a larger one.
O. W. Dillon, J. Kratochvil
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Gradient Plasticity Formulations
2017A theoretical framework that has potential to cover a large range of gradient plasticity effects in isotropic materials is presented. Four classes of strain gradient plasticity theories are considered, aiming to span a wide domain of gradient plasticity formulations.
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, 2016
The underlying work is concerned with the development of physically-motivated constitutive models for the description of size effects within the context of inelastic deformations.
F. Aldakheel
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The underlying work is concerned with the development of physically-motivated constitutive models for the description of size effects within the context of inelastic deformations.
F. Aldakheel
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Symmetric Galerkin boundary element method in plasticity and gradient plasticity
Computational Mechanics, 1995A boundary integral equation (BIE) formulation and a boundary element (BE) method which confer symmetry to key operators are concisely described with reference to quasi-static plasticity. This formulation is based on the combined use of static and kinematic sources, on Galerkin weighted residual enforcement of integral equations for displacements and ...
MAIER, GIULIO +3 more
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On the Form for the Plastic Velocity Gradient Lp in Crystal Plasticity
Mathematics and Mechanics of Solids, 2001It is usual to assume that the "velocity gradient" Lp associated with slip is KZ 1 a, 0 nK, where y, is the rate of shear of the Kth slip system defined by the slip direction so and the normal to the plane n,. The above expression, written directly as the linear superposition of instantaneous rates of shear over all the active slip systems, is ...
G. Rengarajan, Kumbakonam R. Rajagopal
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