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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
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Stability of strain-gradient plastic materials
Journal of the Mechanics and Physics of Solids, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dal Corso, Francesco, J. R. Willis
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Strain gradient plasticity in gradient structured metals
Journal of the Mechanics and Physics of Solids, 2020Abstract 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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A strain space gradient plasticity theory for finite strain
Computer Methods in Applied Mechanics and Engineering, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chambon R. +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.
Dillon, O. W. jun., Kratochvil, J.
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Strain gradients in plasticity
Acta Mechanica, 1977An 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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Quasi-static Evolution for a Model in Strain Gradient Plasticity
SIAM Journal on Mathematical Analysis, 2008We prove the existence of a quasi-static evolution for a model in strain gradient plasticity proposed by Gurtin and Anand concerning isotropic, plastically irrotational materials under small deformations. This is done by means of the energetic approach to rate-independent evolution problems.
Alessandro Giacomini, Luca Lussardi
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A finite deformation theory of strain gradient plasticity
Journal of the Mechanics and Physics of Solids, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hwang, K. +4 more
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A Dissipative System Arising in Strain-gradient Plasticity
Applied and Industrial Mathematics in Italy III, 2009We discuss a nonlocal and fully nonlinear system of partial differential equations which arises in a strain-gradient theory of plasticity proposed by Gurtin (J. Mech. Phys. Solids, 2004). The problem couples an elliptic equation to a parabolic system which exhibits two types of degeneracies: the first one is caused by the nonlinear structure, the ...
GIACOMELLI, Lorenzo, Giuseppe Tomassetti
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On elastic and plastic length scales in strain gradient plasticity
Structural Engineering and Mechanics, 2017The 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
Jinxing Liu +3 more
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