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A minimal gradient-enhancement of the classical continuum theory of crystal plasticity. Part II: Size effects

open access: yesArchives of Mechanics, 2016
In our previous paper, a simple gradient-enhancement of the classical continuum theory of plasticity of single crystals deformed by multislip has been proposed for incorporating size effects. A single internal length scale has been derived as an explicit
S. Stupkiewicz, H. Petryk
doaj   +1 more source

Effect of a gradient structure on the mechanical performance of Inconel 718 Ni-based superalloy at elevated temperatures

open access: yesJournal of Materials Research and Technology, 2023
The effect of a gradient structure (GS) with present precipitates on the tensile properties of Inconel 718 (IN718) alloy at elevated temperatures was studied.
Wei Jiang   +7 more
doaj   +1 more source

A Concise Review of Gradient Models in Mechanics and Physics

open access: yesFrontiers in Physics, 2020
The various mathematical models developed over the years to interpret the behavior of materials and corresponding processes they undergo were based on observations and experiments made at that time.
Elias C. Aifantis
doaj   +1 more source

Normality condition in elasticity [PDF]

open access: yes, 2013
Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that stability of such surfaces is related to stability outside the surface via ...
Grabovsky, Yury, Truskinovsky, Lev
core   +1 more source

A gradient theory based on the Aifantis theory using the Gurtin-Anand strain gradient plasticity approach

open access: yesJournal of the Mechanical Behavior of Materials, 2018
This article investigates the differences between the Aifantis and Gurtin-Anand strain gradient plasticity. The fact that Gurtin-Anand strain gradient plasticity is richer than the Aifantis strain gradient plasticity provides a basis for which we could ...
Borokinni Adebowale S.
doaj   +1 more source

Quantifying population and clone-specific non-linear reaction norms to food gradients in Daphnia magna

open access: yesFrontiers in Ecology and Evolution, 2022
Phenotypic plasticity is normally quantified as a reaction norm which details how trait expression changes across an environmental gradient. Sometime reaction norms are linear, but often reaction norms are assumed to be linear because plasticity is ...
Stewart J. Plaistow   +3 more
doaj   +1 more source

Size Scaling of Plastic Deformation in Simple Shear: Fractional Strain-Gradient Plasticity and Boundary Effects in Conventional Strain-Gradient Plasticity

open access: yesJournal of applied mechanics, 2020
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.
C. Dahlberg, M. Ortiz
semanticscholar   +1 more source

Modeling the zonal disintegration of rocks near deep level tunnels by gradient internal variable continuous phase transition theory

open access: yesJournal of the Mechanical Behavior of Materials, 2015
The occurrence of alternating damage zones surrounding underground openings (commonly known as zonal disintegration) is treated as a “far from thermodynamic equilibrium” dynamical process or a nonlinear continuous phase transition phenomenon.
Haoxiang Chen   +4 more
doaj   +1 more source

A method to extract slip system dependent information for crystal plasticity models

open access: yesMethodsX, 2022
A tool to implement a length scale dependency to classical crystal plasticity simulations is presented. Classical crystal plasticity models do not include a size effect; therefore, the size of the grain does not influence the simulated deformation ...
Dylan Agius   +4 more
doaj   +1 more source

A porous crystal plasticity constitutive model for ductile deformation and failure in porous single crystals [PDF]

open access: yes, 2018
The author thankfully acknowledges the financial support of EPSRC funding (EP/ L021714/1).Peer ...
Siddiq, Amir
core   +1 more source

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