First-order size effects in the mechanics of miniaturized components

J.P.M. Hoefnagels, P.J.M. Janssen, T.H. Keijser, de, M.G.D. Geers

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Abstract

This work analyses those size effects that are encountered first upon downscaling, including grain boundary effects, free surface effects, grain statistics effects. The separate influence of first-order effects was carefully investigated from uniaxial tensile tests on high-purity aluminum specimens with a well-defined microstructure of through-thickness grains, whereby the total number of grains in the cross-section was reduced towards a single grain in a cross-section by, first, decreasing the film thickness and, second, for specimens with through-thickness grains decreasing the specimen width. In addition, 3D dislocation-field strain gradient plasticity simulations were employed to analyze the intrinsic size effects, using the grain size and texture as measured experimentally. The work shows that for miniaturized structures with a limited number of columnar grains a unique Hall-Petch relation does not exist, even though a grain boundary effect, i.e. a decrease in stress level (at a given strain) for decreasing grain boundary area per unit volume, is clearly present. When the microstructure is kept constant upon miniaturization, the free surface per unit area increases causing the stress level of the structure to decrease, the effect of which increases towards a single grain in the cross-section. In addition, the work shows that grain statistics effects also contribute to observed weakening, due to insufficient compensation of local (weaker) material properties by the surrounding material (i.e. grains). Finally, grain statistics also significantly increase the statistical variation in mechanical properties for these small-sized structures, an effect that is especially important for the reliability of miniature components. The separate influence of these first-order effects as well as their interplay are explained in terms of the movement of the dislocations upon plastic flow.
Original languageEnglish
Title of host publicationAdvanced in Experimental Mechanics VI
EditorsD. Lord, R.J. Greene, J.M. Dulieu-Barton
Place of PublicationZurich
PublisherTrans Tech Publications
Pages183-192
ISBN (Print)978-0-87849-367-8
DOIs
Publication statusPublished - 2008

Fingerprint

grain boundaries
statistics
cross sections
microstructure
plastic flow
miniaturization
tensile tests
plastic properties
purity
film thickness
textures
grain size
mechanical properties
aluminum
gradients
simulation

Cite this

Hoefnagels, J. P. M., Janssen, P. J. M., Keijser, de, T. H., & Geers, M. G. D. (2008). First-order size effects in the mechanics of miniaturized components. In D. Lord, R. J. Greene, & J. M. Dulieu-Barton (Eds.), Advanced in Experimental Mechanics VI (pp. 183-192). Zurich: Trans Tech Publications. https://doi.org/10.4028/www.scientific.net/AMM.13-14.183
Hoefnagels, J.P.M. ; Janssen, P.J.M. ; Keijser, de, T.H. ; Geers, M.G.D. / First-order size effects in the mechanics of miniaturized components. Advanced in Experimental Mechanics VI. editor / D. Lord ; R.J. Greene ; J.M. Dulieu-Barton. Zurich : Trans Tech Publications, 2008. pp. 183-192
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Hoefnagels, JPM, Janssen, PJM, Keijser, de, TH & Geers, MGD 2008, First-order size effects in the mechanics of miniaturized components. in D Lord, RJ Greene & JM Dulieu-Barton (eds), Advanced in Experimental Mechanics VI. Trans Tech Publications, Zurich, pp. 183-192. https://doi.org/10.4028/www.scientific.net/AMM.13-14.183

First-order size effects in the mechanics of miniaturized components. / Hoefnagels, J.P.M.; Janssen, P.J.M.; Keijser, de, T.H.; Geers, M.G.D.

Advanced in Experimental Mechanics VI. ed. / D. Lord; R.J. Greene; J.M. Dulieu-Barton. Zurich : Trans Tech Publications, 2008. p. 183-192.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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AB - This work analyses those size effects that are encountered first upon downscaling, including grain boundary effects, free surface effects, grain statistics effects. The separate influence of first-order effects was carefully investigated from uniaxial tensile tests on high-purity aluminum specimens with a well-defined microstructure of through-thickness grains, whereby the total number of grains in the cross-section was reduced towards a single grain in a cross-section by, first, decreasing the film thickness and, second, for specimens with through-thickness grains decreasing the specimen width. In addition, 3D dislocation-field strain gradient plasticity simulations were employed to analyze the intrinsic size effects, using the grain size and texture as measured experimentally. The work shows that for miniaturized structures with a limited number of columnar grains a unique Hall-Petch relation does not exist, even though a grain boundary effect, i.e. a decrease in stress level (at a given strain) for decreasing grain boundary area per unit volume, is clearly present. When the microstructure is kept constant upon miniaturization, the free surface per unit area increases causing the stress level of the structure to decrease, the effect of which increases towards a single grain in the cross-section. In addition, the work shows that grain statistics effects also contribute to observed weakening, due to insufficient compensation of local (weaker) material properties by the surrounding material (i.e. grains). Finally, grain statistics also significantly increase the statistical variation in mechanical properties for these small-sized structures, an effect that is especially important for the reliability of miniature components. The separate influence of these first-order effects as well as their interplay are explained in terms of the movement of the dislocations upon plastic flow.

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M3 - Chapter

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BT - Advanced in Experimental Mechanics VI

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Hoefnagels JPM, Janssen PJM, Keijser, de TH, Geers MGD. First-order size effects in the mechanics of miniaturized components. In Lord D, Greene RJ, Dulieu-Barton JM, editors, Advanced in Experimental Mechanics VI. Zurich: Trans Tech Publications. 2008. p. 183-192 https://doi.org/10.4028/www.scientific.net/AMM.13-14.183