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International Journal of Solids and Structures
Article
License: Elsevier Non-Commercial
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International Journal of Solids and Structures
Article . 2014
License: Elsevier Non-Commercial
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International Journal of Solids and Structures
Article . 2014 . Peer-reviewed
License: Elsevier Non-Commercial
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A theory for grain boundaries with strain-gradient plasticity

Authors: Voyiadjis, George Z.; Faghihi, Danial; Zhang, Yida;

A theory for grain boundaries with strain-gradient plasticity

Abstract

AbstractIn this work, the effect of the material microstructural interface between two materials (i.e., grain boundary in polycrystalls) is adopted into a thermodynamic-based higher order strain gradient plasticity framework. The developed grain boundary flow rule accounts for the energy storage at the grain boundary due to the dislocation pile up as well as energy dissipation caused by the dislocation transfer through the grain boundary. The theory is developed based on the decomposition of the thermodynamic conjugate forces into energetic and dissipative counterparts which provides the constitutive equations to have both energetic and dissipative gradient length scales for the grain and grain boundary. The numerical solution for the proposed framework is also presented here within the finite element context. The material parameters of the gradient framework are also calibrated using an extensive set of micro-scale experimental measurements of thin metal films over a wide range of size and temperature of the samples.

Keywords

Mechanical Engineering, Applied Mathematics, Condensed Matter Physics, Gradient plasticity, Nanoindentation, Materials Science(all), Mechanics of Materials, Grain boundaries, Modelling and Simulation, Heat generation due to plastic work

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    41
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
41
Top 10%
Top 10%
Top 10%
hybrid