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On the Form for the Plastic Velocity Gradient Lp in Crystal Plasticity

Mathematics and Mechanics of Solids, 2001
It 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 ...
Rengarajan, G., Rajagopal, K. R.
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Plastic Crystals

2013
Small spherical molecules are able to exhibit physical properties which reflect the ability to freely rotate in the ordered solid phase and are classed as plastic crystals. The property of achieving rotational freedom in the solid state can be observed in some polymer systems and is a precursor to understanding the dynamic of glassy polymers and the ...
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Plasticity of Crystals

2001
At first, let us recall some postulates of continuum mechanics. Any model of the crystal behaviour must satisfy the general rules discussed in the Chapter 2: the local principle of mass conservation (2.60); the principle of balance of linear momentum equivalent to Cauchy’s equations of motion (2.64); the principle of balance of angular ...
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A nanoscale model of crystal plasticity

International Journal of Plasticity, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Micropolar Crystal Plasticity

2018
International ...
Mayeur, J., Mcdowell, D., Forest, S.
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Plastic Crystals

2021
J. Ll. Tamarit   +3 more
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On thermodynamics of crystal plasticity

Scripta Materialia, 2006
Abstract It is argued in this paper that there are three distinctive physical situations in which the continuum descriptions of crystal plasticity are conceptually different. They are determined by the properties of the random field of dislocation density. One of the cases corresponds to conventional plasticity theory.
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Plastic Rheology of Crystals

2013
When crystals are strained above a certain limit, they cease behaving like elastic solids and become plastic. Plastic deformation is an irreversible, isovolume process, which results in a permanent shear strain after the shear stress that caused it has been removed. Hydrostatic pressure alone does not produce plastic deformation.
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On the coupling of damage and single crystal plasticity for ductile polycrystalline materials

International Journal of Plasticity, 2021
Bjørn Hakon Frodal   +2 more
exaly  

Crystal-Plasticity Fundamentals

2009
Abstract This article presents the Schmid's law that describes the response of crystal structures to loading. It describes the Taylor model to calculate the uniaxial yield stress of an isotropic face-centered cubic aggregate in terms of critical resolved shear stress. The article discusses the stress-based approach of the Bishop and Hill
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