Technical Papers
Aug 9, 2016

Size-Effect Law for Scratch Tests of Axisymmetric Shape

Publication: Journal of Engineering Mechanics
Volume 142, Issue 12

Abstract

This paper presents a theoretical and experimental framework for the application of size-effect analysis to microscratch testing as a means to quantify the fracture properties and internal friction of materials at the microscale. The energetic size-effect law (SEL) for microscratch tests is developed for a general monomeric probe shape in terms of an intrinsic size function. The fundamental idea of the proposed approach is to rescale the scratch response to that of the flat punch, a conjecture that allows one to compare the SEL for different probe geometries, and thus solve for the asymptotic fracture toughness and effective process zone length from scratch tests done on homogenous (acetal homopolymer resin and polycarbonate resin) and inhomogeneous materials (mica ceramic and gas shale). As a material of current interest for controlled fracture studies, two samples of gas shale cored from the Marcellus and Eagle Ford formations are tested and analyzed to quantify all material properties that may be derived from the scratch resistance; namely fracture parameters, asymptotic hardness, strength, cohesion, and internal friction.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors acknowledge the support of this study through the Massachusetts Institute of Technology X-Shale project sponsored by Shell and Schlumberger, and enabled through MIT’s Energy Initiative. Additional thanks go to Ange-Therese Akono and Christian Hoover for valuable discussions, and Konrad Krakowiak for providing microscratch data on fused silica for the analysis.

References

Adler, T. A., and Walters, R. P. (1993). “Wear and scratch hardness of 304 stainless steel investigated with a single scratch test.” Wear, 162–164, 645–1163.
Akono, A. T. (2016). “Energetic size effect law at the microscopic scale: Application to progressive-load scratch testing.” J. Nanomech. Micromech., 6(2), 04016001.
Akono, A. T., and Ulm, F. J. (2012). “Fracture scaling relations for scratch tests of axisymmetric shape.” J. Mech. Phys. Solids, 60(3), 379–390.
Akono, A.-T., Randall, N. X., and Ulm, F. J. (2012). “Experimental determination of the fracture toughness via microscratch tests: Application to polymers, ceramics, and metals.” J. Mater. Res., 27(02), 485–493.
Akono, A.-T., Reis, P. M., and Ulm, F. J. (2011). “Scratching as a fracture process: From butter to steel.” Phys. Rev. Lett., 106(20), 204302.
Akono, A.-T., Ulm, F. J., and Bažant, Z. P. (2014). “Discussion: Strength-to-fracture scaling in scratching.” Eng. Fract. Mech., 119, 21–28.
ASTM. (2005). “Standard test method for adhesion strength and mechanical failure modes of ceramic coatings by quantitative single point scratch testing.” ASTM C1624, West Conshohocken, PA.
Axen, N., Kahlman, L., and Hutchings, I. M. (1997). “Correlation between tangential force and damage mechanisms in the scratch testing of ceramics.” Tribol. Int., 30(7), 467–474.
Banik, N. C., Egan, M., Koesoemadinata, A., and Padhi, A. (2013). “Challenges in shale-reservoir characterization by means of AVA and AVAZ.” 75th EAGE Conf. and Exhibition Incorporating SPE EUROPEC 1013, London.
Bard, R., and Ulm, F. J. (2012). “Scratch hardness-strength solutions for cohesive-frictional materials.” Int. J. Numer. Anal. Methods Geomech., 36(3), 307–326.
Bažant, Z. P. (1984). “Size effect in blunt fracture: Concrete, rock, metal.” J. Eng. Mech., 518–535 .
Bažant, Z. P. (2005). Scaling of structural strength, Elsevier, Burlington.
Bažant, Z. P., and Gettu, R. (1992). “Rate effects and load relaxation in static fracture of concrete.” ACI Mater. J., 89(5), 456–468.
Bažant, Z. P., and Li, Y. N. (1997). “Cohesive crack with rate-dependent opening and viscoelasticity: I. Mathematical model and scaling.” Int. J. Fract., 86(3), 247–265.
Bousige, C., et al. (2016). “Realistic molecular model of kerogen’s nanostructure.” Nat. Mater., 15(5), 576–592.
Bull, S. J., and Berasetegui, E. G. (2006). “An overview of the potential of quantitative coating adhesion measurement by scratch testing.” Tribol. Int., 39(2), 99–114.
Coussy, O. (1987). “A moving crack problem along the interface of two viscoelastic media.” Int. J. Eng. Sci., 25(5), 609–620.
Cusatis, G., Pelessone, D., and Mencarelli, A. (2011). “Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory.” Cem. Concr. Compos., 33(9), 881–890.
Harding, D. S., Oliver, W. C., and Pharr, G. M. (1994). “Cracking during nanoindentation and its use in the measurement of fracture toughness.” MRS Proc., Cambridge University Press, Cambridge, MA.
Hertzberg, R. W., Skibo, M. D., and Manson, J. A. (1978). “Fatigue crack propagation in polyacetal.” J. Mater. Sci., 13(5), 1038–1044.
Heukamp, F. H., Ulm, F. J., and Germaine, J. T. (2001). “Mechanical properties of calcium-leached cement pastes: Triaxial stress states and the influence of the pore pressures.” Cem. Concr. Res., 31(5), 767–774.
Hill, A. J., and Agrawal, C. M. (1990). “Positron lifetime spectroscopy characterization of thermal history effects on polycarbonate.” J. Mater. Sci., 25(12), 5036–5042.
Hillerborg, A., Modéer, M., and Petersson, P. E. (1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res., 6(6), 773–781.
Hoover, C. G., and Ulm, F. J. (2015). “Experimental chemo-mechanics of early-age fracture properties of cement paste.” Cem. Concr. Res., 75, 42–52.
Irwin, G. R. (1958). “Fracture.” Elasticity and plasticity, S. Flügge, ed., Vol. 3/6, Springer, Berlin, 551–590.
Kanematsu, W. (2004). “Subsurface damage in scratch testing of silicon nitride.” Wear, 256(1), 100–107.
Laubie, H., and Ulm, F. J. (2014). “Plane-strain crack problem in transversely isotropic solids for hydraulic fracturing applications.” J. Eng. Mech., 04014092.
Lin, J. S., and Zhou, Y. (2013). “Can scratch tests give fracture toughness?” Eng. Fract. Mech., 109, 161–168.
Ma, L., Zhou, J., Lau, A., Low, A., and Dewit, R. (2002). “Self-similarity simplification approaches for the modeling and analysis of Rockwell hardness indentation.” J. Res. Natl. Inst. Stand. Technol., 107(5), 401–412.
Richard, T., Dagrain, F., Poyol, E., and Detournay, E. (2012). “Rock strength determination from scratch tests.” Eng. Geol., 147–148, 91–100.
RILEM (Réunion Internationale des Laboratoires et Experts des Matériaux, systèmes de construction et ouvrages). (1990). “Size-effect method for determining fracture energy and process zone size of concrete.” Mater. Struct., 23(6), 461–465.
Sellappan, P., Rouxel, T., Celarie, F., Becker, E., Houizot, P., and Conradt, R. (2013). “Composition dependence of indentation deformation and indentation cracking in glass.” Acta Mater., 61(16), 5949–5965.
Ulm, F. J., et al. (2010). “Does microstructure matter for statistical nanoindentation techniques?” Cem. Concr. Compos., 32(1), 92–99.
William, W. (2013). “Grinding of cement clinkers: Linking multi-scale fracture properties to system chemistry, mineralogy and microstructure.” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Wu, Z. S., and Bazant, Z. P. (1993). “Finite element modeling of rate effect in concrete fracture with influence of creep.” RILEM Proc., E & FN Spon, London, 427–427.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 142Issue 12December 2016

History

Received: Mar 10, 2016
Accepted: Jun 29, 2016
Published online: Aug 9, 2016
Published in print: Dec 1, 2016
Discussion open until: Jan 9, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Mija H. Hubler [email protected]
Assistant Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Colorado, Boulder, CO 80309 (corresponding author). E-mail: [email protected]
Franz-Josef Ulm, A.M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share