Results 221 to 230 of about 235,245 (284)
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Fractional strain-gradient plasticity
European Journal of Mechanics - A/Solids, 2019We develop a strain-gradient plasticity theory based on fractional derivatives of plastic strain and assess its ability to reproduce the scaling laws and size effects uncovered by the recent experiments of Mu et al. (2014, 2016, 2017) on copper thin layers undergoing plastically constrained simple shear.
C.F.O. Dahlberg, M. Ortiz
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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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Formulations of Strain Gradient Plasticity
2011In 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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A strain space gradient plasticity theory for finite strain
Computer Methods in Applied Mechanics and Engineering, 2004Abstract In this paper, an extension to the finite deformation regime of the infinitesimal theories of strain gradient plasticity discussed in a paper by R. Chambon, D. Caillerie and T. Matsushimas [Int. J. Solids Struct. 38 (2001) 8503–8527] is presented which extends and generalizes the previous works of R. Chambon, D. Caillerie and C. Tamagnini [C.
Chambon R.+2 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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Strain gradient effects on cyclic plasticity
Journal of the Mechanics and Physics of Solids, 2010Abstract Size effects on the cyclic shear response are studied numerically using a recent higher order strain gradient visco-plasticity theory accounting for both dissipative and energetic gradient hardening. Numerical investigations of the response under cyclic pure shear and shear of a finite slab between rigid platens have been carried out, using ...
Brian Nyvang Legarth+1 more
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Computational strain gradient crystal plasticity
Journal of the Mechanics and Physics of Solids, 2014Abstract A numerical method for viscous strain gradient crystal plasticity theory is presented, which incorporates both energetic and dissipative gradient effects. The underlying minimum principles are discussed as well as convergence properties of the proposed finite element procedure.
Christian Frithiof Niordson+1 more
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Mechanism-Based Strain Gradient Crystal Plasticity
MRS Proceedings, 2004AbstractTo 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
Yonggang Huang+3 more
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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.
GIACOMINI, Alessandro, LUSSARDI L.
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