Grain boundary interfacial plasticity with incorporation of internal structure and energy

Beers, van Prm Paul; Kouznetsova, V Varvara; Geers, Mgd Marc

doi:10.1016/j.mechmat.2015.01.010

Cited by 15 publications

(6 citation statements)

References 82 publications

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“…It was shown that the grain boundary energies in the complete misorientation range of symmetric tilt grain boundaries in aluminium and copper can be accurately described by this multiscale method. The work of van Beers et al (2015b) incorporated this atomisticto-continuum approach into the grain boundary crystal plasticity model developed earlier. The resulting framework was numerically implemented in order to examine the particular role and influence of the grain boundary energetic contributions on the macroscopic response.…”

Section: Different Interaction Mechanisms Between Dislocations and Grmentioning

confidence: 99%

“…The novel contribution in this paper is the development of a model that incorporates the defect redistribution along the grain boundary into the continuum grain boundary plasticity framework of van Beers et al (2013Beers et al ( , 2015b. A diffusion type evolution law is proposed for the redistribution of the net defect within the grain boundary, which allows for a nonlocal relaxation of the grain boundary net defect.…”

Section: Different Interaction Mechanisms Between Dislocations and Grmentioning

confidence: 99%

“…In general, when lattice dislocations interact with a grain boundary, the structure of the interface and the defect content are altered. In order to obtain a continuum representation of the grain boundary structure, van Beers et al (2013Beers et al ( , 2015b proposed the following vectorial measure of the grain boundary net defect density at a material point on the interface…”

Section: Grain Boundary Structure and Energymentioning

confidence: 99%

“…Definition (19) is a general expression that is consistent with an 'infinitesimal' Burgers circuit at the grain boundary (Gurtin, 2008). In van Beers et al (2013Beers et al ( , 2015b) a simplified expression for B was used, with coefficients c α equal to 1, which corresponds to a planar configuration.…”

Section: Grain Boundary Structure and Energymentioning

confidence: 99%

See 3 more Smart Citations

Defect redistribution within a continuum grain boundary plasticity model

Beers

Kouznetsova

Geers

2015

Journal of the Mechanics and Physics of Solids

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Section: Different Interaction Mechanisms Between Dislocations and Grmentioning

confidence: 99%

Section: Different Interaction Mechanisms Between Dislocations and Grmentioning

confidence: 99%

Section: Grain Boundary Structure and Energymentioning

confidence: 99%

Section: Grain Boundary Structure and Energymentioning

confidence: 99%

See 2 more Smart Citations

Defect redistribution within a continuum grain boundary plasticity model

Beers

Kouznetsova

Geers

2015

Journal of the Mechanics and Physics of Solids

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“…curvatures. While the role of strain gradients on plasticity in nc materials [29][30][31][32][33][34][35][36][37] has received considerable interest over the past decade, the role of rotational gradients i.e. lattice curvatures has received disproportionately less attention.…”

Section: Introductionmentioning

confidence: 99%

A higher order elasto-viscoplastic model using fast Fourier transforms: Effects of lattice curvatures on mechanical response of nanocrystalline metals

Upadhyay

Capolungo

Taupin

et al. 2016

International Journal of Plasticity

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In this work a couple stress continuum based elasto-viscoplastic fast Fourier transform model is developed with the intent to study the role of curvatures-gradient of rotation-on the local meso scale and effective macroscale mechanical response of nanocrystalline materials. Development of this model has led to the formulation of an extended periodic Lippmann Schwinger equation that accounts for couple stress equilibrium. In addition to the standard boundary conditions on strain rate and Cauchy stresses, the model allows imposing non-standard couple stress and curvature rate boundary conditions. Application to representative nanocrystalline microstructures reveals that elastic and plastic curvatures accommodate a part of the local and macroscopic Cauchy stresses. Next, grain boundary interfaces are characterized using curvatures that are representative of their structure and defect content. Depending on the magnitude and distribution of these curvatures, local stresses in the grain boundary neighborhood are generated that activate slip systems besides those fulfilling the Schmid criterion. Generation of both polar dislocations and disclinations as a possible plasticity mechanism

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Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

Yalçınkaya¹

2016

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

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This chapter studies the thermodynamical consistency and the finite element implementation aspects of a rate-dependent nonlocal (strain gradient) crystal plasticity model, which is used to address the modeling of the size-dependent behavior of polycrystalline metallic materials. The possibilities and required updates for the simulation of dislocation microstructure evolution, grain boundary-dislocation interaction mechanisms, and localization leading to necking and fracture phenomena are shortly discussed as well. The development of the model is conducted in terms of the displacement and the plastic slip, where the coupled fields are updated incrementally through finite element method. Numerical examples illustrate the size effect predictions in polycrystalline materials through Voronoi tessellation.

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Grain boundary interfacial plasticity with incorporation of internal structure and energy

Cited by 15 publications

References 82 publications

Defect redistribution within a continuum grain boundary plasticity model

Defect redistribution within a continuum grain boundary plasticity model

A higher order elasto-viscoplastic model using fast Fourier transforms: Effects of lattice curvatures on mechanical response of nanocrystalline metals

Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

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