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Modeling damage and fracture within strain-gradient plasticity [PDF]
International Journal of Solids and Structures, 2015 In this work, the influence of the plastic size effect on the fracture process of metallic materials is numerically analyzed using the strain-gradient plasticity (SGP) theory established from the Taylor dislocation model. Since large deformations generally occur in the vicinity of a crack, the numerical framework of the chosen SGP theory is developed ...
Martinez-Paneda, E, Betegon, C
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Results in Engineering, 2023 Based on the structure of natural nacres, laminated metal materials have been successfully developed to possess desirable mechanical properties for diverse engineering applications.
Xiaochong Lu +5 more
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Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity [PDF]
Journal of Applied Mechanics, 2020 Abstract A recently developed model based on fractional derivatives of plastic strain is compared with conventional strain-gradient plasticity (SGP) models. Specifically, the experimental data and observed model discrepancies in the study by Mu et al.
Dahlberg, Carl F. O., Ortiz, Michael
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Strain-Gradient Plasticity as the $Γ$-Limit of a Nonlinear Dislocation Energy with Mixed Growth [PDF]
SIAM Journal on Mathematical Analysis, 2018 In this paper, we derive by means of $\Gamma$-convergence a macroscopic strain-gradient plasticity theory from a semidiscrete model for edge dislocations in an infinite cylindrical crystal.
Janusz Ginster
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Materials Theory, 2017 The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries.
Nikhil Chandra Admal +2 more
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Torsion in Strain-Gradient Plasticity: Energetic Scale Effects [PDF]
SIAM Journal on Applied Mathematics, 2012 We study elasto-plastic torsion in a thin wire within the framework of the strain-gradient plasticity theory elaborated by Gurtin and Anand in 2005. The theory in question envisages two material scales: an energetic length-scale, which takes into account the so-called “geometrically-necessary dislocations” through a dependence of the free energy on the
CHIRICOTTO, MARIA +2 more
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Experimental Assessment of Strain Gradient Plasticity
MRS Proceedings, 2000 AbstractClassical plasticity theories generally assume that the stress at a point is a function of strain at that point only. However, when gradients in strain become significant, this localization assumption is no longer valid. These conventional models fail to display a ‘size effect’.
Wayne E. King +6 more
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Finite element implementation and numerical issues of strain gradient plasticity with application to metal matrix composites [PDF]
, 2009 A framework of finite element equations for strain gradient plasticity is presented. The theoretical framework requires plastic strain degrees of freedom in addition to displacements and a plane strain version is implemented into a commercial finite ...
Frederiksson, Per +2 more
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Strain Gradient Plasticity: Theory and Implementation
, 2020 This chapter focuses on the foundation and development of various higher-order strain gradient plasticity theories, and it also provides the basic elements for their finite element implementation. To this aim, we first refer to experiments exhibiting size-effects in metals and explain them by resorting to the concept of geometrically necessary ...
Lorenzo Bardella, Christian F. Niordson
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Elastic-gap free strain gradient crystal plasticity model that effectively account for plastic slip gradient and grain boundary dissipation [PDF]
arXivThis paper proposes an elastic-gap free strain gradient crystal plasticity model that addresses dissipation caused by plastic slip gradient and grain boundary (GB) Burger tensor. The model involves splitting plastic slip gradient and GB Burger tensor into energetic dissipative quantities.
Anjan Mukherjee, B. Banerjee
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