The role of interfaces in enhancing the yield strength of composites and polycrystals

K. E. Aifantis; J. R. Willis

doi:10.1016/j.jmps.2004.12.003

The role of interfaces in enhancing the yield strength of composites and polycrystals

K. E. Aifantis, J. R. Willis

Research output: Contribution to journal › Article › peer-review

177 Scopus citations

Abstract

A deformation-theory version of strain-gradient plasticity is employed to assess the influence of microstructural scale on the yield strength of composites and polycrystals. The framework is that recently employed by Fleck and Willis (J. Mech. Phys. Solids 52 (2004) 1855-1888), but it is enhanced by the introduction of an interfacial "energy" that penalises the build-up of plastic strain at interfaces. The most notable features of the new interfacial potential are: (a) internal surfaces are treated as surfaces of discontinuity and (b) the scale-dependent enhancement of the overall yield strength is no longer limited by the "Taylor" or "Voigt" upper bound. The variational structure associated with the theory is developed in generality and its implications are demonstrated through consideration of simple one-dimensional examples. Results are presented for a single-phase medium containing interfaces distributed either periodically or randomly.

Original language	English (US)
Pages (from-to)	1047-1070
Number of pages	24
Journal	Journal of the Mechanics and Physics of Solids
Volume	53
Issue number	5
DOIs	https://doi.org/10.1016/j.jmps.2004.12.003
State	Published - May 2005
Externally published	Yes

Keywords

Hall-Petch effect
Strain-gradient plasticity
Variational principles

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/j.jmps.2004.12.003

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abstract = "A deformation-theory version of strain-gradient plasticity is employed to assess the influence of microstructural scale on the yield strength of composites and polycrystals. The framework is that recently employed by Fleck and Willis (J. Mech. Phys. Solids 52 (2004) 1855-1888), but it is enhanced by the introduction of an interfacial {"}energy{"} that penalises the build-up of plastic strain at interfaces. The most notable features of the new interfacial potential are: (a) internal surfaces are treated as surfaces of discontinuity and (b) the scale-dependent enhancement of the overall yield strength is no longer limited by the {"}Taylor{"} or {"}Voigt{"} upper bound. The variational structure associated with the theory is developed in generality and its implications are demonstrated through consideration of simple one-dimensional examples. Results are presented for a single-phase medium containing interfaces distributed either periodically or randomly.",

keywords = "Hall-Petch effect, Strain-gradient plasticity, Variational principles",

author = "Aifantis, {K. E.} and Willis, {J. R.}",

note = "Funding Information: K.E.A. gratefully acknowledges the support of the US National Science Foundation through its graduate research fellowship program and the hospitality of the Laboratory of Mechanics and Materials of the Aristotle University of Thessaloniki. Partial support from the European Commission is also gratefully acknowledged. ",

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AU - Aifantis, K. E.

AU - Willis, J. R.

N1 - Funding Information: K.E.A. gratefully acknowledges the support of the US National Science Foundation through its graduate research fellowship program and the hospitality of the Laboratory of Mechanics and Materials of the Aristotle University of Thessaloniki. Partial support from the European Commission is also gratefully acknowledged.

PY - 2005/5

Y1 - 2005/5

N2 - A deformation-theory version of strain-gradient plasticity is employed to assess the influence of microstructural scale on the yield strength of composites and polycrystals. The framework is that recently employed by Fleck and Willis (J. Mech. Phys. Solids 52 (2004) 1855-1888), but it is enhanced by the introduction of an interfacial "energy" that penalises the build-up of plastic strain at interfaces. The most notable features of the new interfacial potential are: (a) internal surfaces are treated as surfaces of discontinuity and (b) the scale-dependent enhancement of the overall yield strength is no longer limited by the "Taylor" or "Voigt" upper bound. The variational structure associated with the theory is developed in generality and its implications are demonstrated through consideration of simple one-dimensional examples. Results are presented for a single-phase medium containing interfaces distributed either periodically or randomly.

AB - A deformation-theory version of strain-gradient plasticity is employed to assess the influence of microstructural scale on the yield strength of composites and polycrystals. The framework is that recently employed by Fleck and Willis (J. Mech. Phys. Solids 52 (2004) 1855-1888), but it is enhanced by the introduction of an interfacial "energy" that penalises the build-up of plastic strain at interfaces. The most notable features of the new interfacial potential are: (a) internal surfaces are treated as surfaces of discontinuity and (b) the scale-dependent enhancement of the overall yield strength is no longer limited by the "Taylor" or "Voigt" upper bound. The variational structure associated with the theory is developed in generality and its implications are demonstrated through consideration of simple one-dimensional examples. Results are presented for a single-phase medium containing interfaces distributed either periodically or randomly.

KW - Hall-Petch effect

KW - Strain-gradient plasticity

KW - Variational principles

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The role of interfaces in enhancing the yield strength of composites and polycrystals

Abstract

Keywords

ASJC Scopus subject areas

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