Scratch test model for the determination of fracture toughness

Ange Therese Akono; Franz Josef Ulm

doi:10.1016/j.engfracmech.2010.09.017

Scratch test model for the determination of fracture toughness

Ange Therese Akono, Franz Josef Ulm

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

Abstract

We revisit the scratch test within the framework of linear elastic fracture mechanics. In the analysis, we employ an Airy stress function approach to determine stresses and displacement in the vicinity of the scratch-blade-material interface, which serve as input for the evaluation of the energy release rate by means of the J-Integral. In contrast to previous models, the energy release rate thus found scales with the sum of the applied forces squared. This entails a linear relation between the applied forces and w√d, where w is the scratch width and d the scratch depth. This analytical scaling is validated using experimental scratch data on cement paste and sandstone, which shows that the proposed approach provides a convenient way to determine the fracture toughness from scratch tests carried out with different scratch widths and depths.

Original language	English (US)
Pages (from-to)	334-342
Number of pages	9
Journal	Engineering Fracture Mechanics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1016/j.engfracmech.2010.09.017
State	Published - Jan 2011
Externally published	Yes

Keywords

Fracture toughness
J-Integral
Scratch test

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

Online availability

10.1016/j.engfracmech.2010.09.017

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title = "Scratch test model for the determination of fracture toughness",

abstract = "We revisit the scratch test within the framework of linear elastic fracture mechanics. In the analysis, we employ an Airy stress function approach to determine stresses and displacement in the vicinity of the scratch-blade-material interface, which serve as input for the evaluation of the energy release rate by means of the J-Integral. In contrast to previous models, the energy release rate thus found scales with the sum of the applied forces squared. This entails a linear relation between the applied forces and w√d, where w is the scratch width and d the scratch depth. This analytical scaling is validated using experimental scratch data on cement paste and sandstone, which shows that the proposed approach provides a convenient way to determine the fracture toughness from scratch tests carried out with different scratch widths and depths.",

keywords = "Fracture toughness, J-Integral, Scratch test",

author = "Akono, {Ange Therese} and Ulm, {Franz Josef}",

note = "Funding Information: The authors gratefully acknowledge the financial support of this study by the Total scholarship for graduate studies of ATA at MIT, and by discretionary funds of the George Macomber Chair for FJU at MIT. The experimental scratch data for cement paste are courtesy of Schlumberger Carbon Services, and the scratch data on red sandstone courtesy of Epslog Engineering SA, Belgium. A special thanks to Dr. Brice Lecampion (Schlumberger), Dr. Christophe Germay (Epslog Engineering SA) for the experimental data, to Romain Bard (MIT) for contributing the Finite Element result, and to Prof. David Parks (MIT) for fruitful discussions. ",

year = "2011",

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doi = "10.1016/j.engfracmech.2010.09.017",

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AU - Akono, Ange Therese

AU - Ulm, Franz Josef

N1 - Funding Information: The authors gratefully acknowledge the financial support of this study by the Total scholarship for graduate studies of ATA at MIT, and by discretionary funds of the George Macomber Chair for FJU at MIT. The experimental scratch data for cement paste are courtesy of Schlumberger Carbon Services, and the scratch data on red sandstone courtesy of Epslog Engineering SA, Belgium. A special thanks to Dr. Brice Lecampion (Schlumberger), Dr. Christophe Germay (Epslog Engineering SA) for the experimental data, to Romain Bard (MIT) for contributing the Finite Element result, and to Prof. David Parks (MIT) for fruitful discussions.

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N2 - We revisit the scratch test within the framework of linear elastic fracture mechanics. In the analysis, we employ an Airy stress function approach to determine stresses and displacement in the vicinity of the scratch-blade-material interface, which serve as input for the evaluation of the energy release rate by means of the J-Integral. In contrast to previous models, the energy release rate thus found scales with the sum of the applied forces squared. This entails a linear relation between the applied forces and w√d, where w is the scratch width and d the scratch depth. This analytical scaling is validated using experimental scratch data on cement paste and sandstone, which shows that the proposed approach provides a convenient way to determine the fracture toughness from scratch tests carried out with different scratch widths and depths.

AB - We revisit the scratch test within the framework of linear elastic fracture mechanics. In the analysis, we employ an Airy stress function approach to determine stresses and displacement in the vicinity of the scratch-blade-material interface, which serve as input for the evaluation of the energy release rate by means of the J-Integral. In contrast to previous models, the energy release rate thus found scales with the sum of the applied forces squared. This entails a linear relation between the applied forces and w√d, where w is the scratch width and d the scratch depth. This analytical scaling is validated using experimental scratch data on cement paste and sandstone, which shows that the proposed approach provides a convenient way to determine the fracture toughness from scratch tests carried out with different scratch widths and depths.

KW - Fracture toughness

KW - J-Integral

KW - Scratch test

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Scratch test model for the determination of fracture toughness

Abstract

Keywords

ASJC Scopus subject areas

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