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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
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Strain gradient nonlocal Biot poromechanics

International Journal of Engineering Science, 2020
Abstract Experimental observation demonstrates that both negative and positive dispersion relations are possible for porous media, which classical Biot theory fails to predict and interpret. The present paper establishes a higher-order strain gradient nonlocal poroelasticity considering both the size effects and heterogeneity structure effects to ...
L.H. Tong   +4 more
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A strain space gradient plasticity theory for finite strain

Computer Methods in Applied Mechanics and Engineering, 2004
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Chambon R.   +2 more
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Strain-gradient extension of hypoplasticity

Acta Mechanica, 2008
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Osinov, V. A., Wu, W.
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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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Fracture in strain gradient elasticity

Metals and Materials, 1998
Recent experiments have shown that the microscale material behavior is very different from that of bulk materials, and displays strong size effects when the characteristic length associated with the deformation is on the order of microns. Conventional continuum theories, however, can not predict this size dependence because they do not have an ...
K. C. Hwang   +3 more
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Mechanics of Strain Gradient Materials

2020
International ...
Bertram, Albrecht, Forest, Samuel
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Torsion of strain gradient bars

International Journal of Engineering Science, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kahrobaiyan, M. H.   +4 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.
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