On size-effects in single crystal wedge indentation

Christian Frithiof Niordson; Jeffrey W. Kysar

On size-effects in single crystal wedge indentation

Christian Frithiof Niordson, Jeffrey W. Kysar

Columbia University

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Wedge indentation in single crystals is studied numerically, with emphasis on size-effects on the micron scale. Under the assumption of a perfectly sharp wedge indenter, a linear relationship between indentation force and indentation depth would be predicted from conventional theories lacking constitutive length parameters to model sizeeffects. The problem is studied numerically using a strain gradient crystal visco-plasticity theory formulated along the lines proposed by Fleck andWillis (2009). It is shown how the force-indentation relation is affected due to size-dependence in the material. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. The finite element solution method is presented,
which delivers the slip-rate field and the velocity-field based on two minimum principles.

Original language	English
Title of host publication	Proceedings of the 18th International Symposium on Plasticity & Its Current Applications
Number of pages	3
Publisher	NEAT Press
Publication date	2012
Publication status	Published - 2012
Event	International Symposium on Plasticity 2012 and Its Current Applications - San Juan, Puerto Rico Duration: 3 Jan 2012 → 8 Jan 2012

Conference

Conference	International Symposium on Plasticity 2012 and Its Current Applications
Country/Territory	Puerto Rico
City	San Juan
Period	03/01/2012 → 08/01/2012

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title = "On size-effects in single crystal wedge indentation",

abstract = "Wedge indentation in single crystals is studied numerically, with emphasis on size-effects on the micron scale. Under the assumption of a perfectly sharp wedge indenter, a linear relationship between indentation force and indentation depth would be predicted from conventional theories lacking constitutive length parameters to model sizeeffects. The problem is studied numerically using a strain gradient crystal visco-plasticity theory formulated along the lines proposed by Fleck andWillis (2009). It is shown how the force-indentation relation is affected due to size-dependence in the material. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. The finite element solution method is presented,which delivers the slip-rate field and the velocity-field based on two minimum principles.",

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year = "2012",

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booktitle = "Proceedings of the 18th International Symposium on Plasticity & Its Current Applications",

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AU - Niordson, Christian Frithiof

AU - Kysar, Jeffrey W.

PY - 2012

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N2 - Wedge indentation in single crystals is studied numerically, with emphasis on size-effects on the micron scale. Under the assumption of a perfectly sharp wedge indenter, a linear relationship between indentation force and indentation depth would be predicted from conventional theories lacking constitutive length parameters to model sizeeffects. The problem is studied numerically using a strain gradient crystal visco-plasticity theory formulated along the lines proposed by Fleck andWillis (2009). It is shown how the force-indentation relation is affected due to size-dependence in the material. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. The finite element solution method is presented,which delivers the slip-rate field and the velocity-field based on two minimum principles.

AB - Wedge indentation in single crystals is studied numerically, with emphasis on size-effects on the micron scale. Under the assumption of a perfectly sharp wedge indenter, a linear relationship between indentation force and indentation depth would be predicted from conventional theories lacking constitutive length parameters to model sizeeffects. The problem is studied numerically using a strain gradient crystal visco-plasticity theory formulated along the lines proposed by Fleck andWillis (2009). It is shown how the force-indentation relation is affected due to size-dependence in the material. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. The finite element solution method is presented,which delivers the slip-rate field and the velocity-field based on two minimum principles.

M3 - Article in proceedings

BT - Proceedings of the 18th International Symposium on Plasticity & Its Current Applications

PB - NEAT Press

T2 - International Symposium on Plasticity 2012 and Its Current Applications

Y2 - 3 January 2012 through 8 January 2012

ER -

On size-effects in single crystal wedge indentation

Abstract

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