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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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Material length scale of strain gradient plasticity: A physical interpretation

International Journal of Plasticity, 2017
These data are related to our paper "Dabiao Liu*, and D. J. Dunstan. Material Length Scale of Strain Gradient Plasticity: A Physical Interpretation.
Dabiao Liu, D J Dunstan
exaly   +3 more sources

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On standard gradient plasticity and visco-plasticity

International Journal of Solids and Structures, 2021
Abstract This paper is devoted to the standard theory of gradient plasticity and visco-plasticity, cf. Gudmundson (2004), Fleck and Willis (2009) and the quoted references. Within the framework of the generalized standard materials and the generalized principle of virtual work, our attention is focussed on the mathematical basis of the theory in ...
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Strain gradient plasticity in gradient structured metals

Journal of the Mechanics and Physics of Solids, 2020
Abstract Structural gradients in metallic materials can give rise to substantial extra strengths compared to their non-gradient counterparts. This strengthening effect originates from the plastic strain gradients arising in plastically deformed gradient structures.
Yin Zhang, Zhao Cheng, Lei Lu, Ting Zhu
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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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Gradients of plasticity

2015
Despite their partially distinctive neural substrates, in typical adults language and emotion function together as well-integrated communicative systems. Both patient and neuroimaging research has furthered our knowledge of the brain organization underlying language and emotion, yet we know little about how this organization develops.
Lara Polse, Philip Lai, Judy Reilly
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Acharya, Amit, Tang, Huang, Saigal, Sunil, Bassani, John L.   +3 more
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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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On the Decomposition of the Deformation Gradient in Plasticity

Journal of Elasticity, 2017
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Plastic axial gradient-index lens

Applied Optics, 1985
An 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.
Y, Koike, H, Hidaka, Y, Ohtsuka
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