Results 241 to 250 of about 97,501 (285)

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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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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Quasi-static Evolution for a Model in Strain Gradient Plasticity

SIAM Journal on Mathematical Analysis, 2008
We 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, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hwang, K., Jiang, H., Huang, Y., Gao, H., Hu, N.   +4 more
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A Dissipative System Arising in Strain-gradient Plasticity

Applied and Industrial Mathematics in Italy III, 2009
We 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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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, Huajian Gao, Yonggang Huang, William D. Nix   +3 more
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Plane-Stress Deformation in Strain Gradient Plasticity

Journal of Applied Mechanics, 1999
A systematic approach is proposed to derive the governing equations and boundary conditions for strain gradient plasticity in plane-stress deformation. The displacements, strains, stresses, strain gradients and higher-order stresses in three-dimensional strain gradient plasticity are expanded into a power series of the thickness h in the out-of-plane ...
Chen, J. Y., Huang, Y., Hwang, K. C., Xia, Z. C.   +3 more
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On elastic and plastic length scales in strain gradient plasticity

Structural Engineering and Mechanics, 2017
The 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, Wen Wang, Ziyu Zhao, Ai Kah Soh   +3 more
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Strain gradient plasticity: Theory and experiment

Acta Metallurgica et Materialia, 1994
Abstract Dislocation theory is used to invoke a strain gradient theory of rate independent plasticity. Hardening is assumed to result from the accumulation of both randomly stored and geometrically necessary dislocation. The density of the geometrically necessary dislocations scales with the gradient of plastic strain.
N.A. Fleck, G.M. Muller, M.F. Ashby, J.W. Hutchinson   +3 more
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Strain gradient effects on cyclic plasticity

Journal of the Mechanics and Physics of Solids, 2010
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Niordson, Christian F., Legarth, Brian Nyvang   +1 more
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