3D Studies of Indentation by Combined X-Ray Tomography and Digital Volume Correlation


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Hardness testing obtains material properties from small specimens via measurement of load-displacement response to an imposed indentation; it is a surface characterisation technique so, except in optically transparent materials, there is no direct observation of the assumed damage and deformation processes within the material. Three-dimensional digital image correlation (digital volume correlation) is applied to study deformation beneath indentations, mapping the relative displacements between high-resolution synchrotron X-ray computed tomographs (0.9 μm voxel size). Two classes of material are examined: ductile aluminium-silicon carbide composite (Al-SiC) and brittle alumina (Al2O3). The measured displacements for Hertzian indentation in Al-SiC are in good agreement with an elastic-plastic finite element simulation. In alumina, radial cracking is observed beneath a Vickers indentation and the crack opening displacements are measured, in situ under load, for the first time. Potential applications are discussed of this characterization technique, which does not require resolution of microstructural features.



Key Engineering Materials (Volumes 592-593)

Edited by:

Pavel Šandera






M. Mostafavi et al., "3D Studies of Indentation by Combined X-Ray Tomography and Digital Volume Correlation", Key Engineering Materials, Vols. 592-593, pp. 14-21, 2014

Online since:

November 2013




[1] Beghini M, Bertini L, Fontanari V. Int. J. Solids Struct. 2006; 43: 2441.

[2] Giannakopoulos AE, Larsson PL, Vestergaard R. Int. J. Solids Struct. 1994; 31: 2679.

[3] Karthik V, Visweswaran P, Bhushan A, Pawaskar DN, Kasiviswanathan KV, Jayakumar T, Raj B. Int J Mech Sci 2012; 54: 7.

[4] Mesarovic SD, Fleck NA. Proc. R. Soc. A-Math. Phys. Eng. Sci. 1999; 455: 2707.

[5] Srikant G, Chollacoop N, Ramamurty U. Acta Mater. 2006; 54: 5171.

[6] Venkatesh TA, van Vleit KJ, Giannakopoulos AE, Suresh S. Scr Mater 2000; 42: 833.

[7] Busby JT, Hash MC, Was GS. J. Nucl. Mater. 2005; 336: 267.

[8] Deschamps A, Militzer M, Poole WJ. ISIJ Int 2001; 41: 196.

[9] Cook RF, Pharr GM. J Am Ceram Soc 1990; 73: 787.

[10] Ponton CB, Rawlings RD. Mater. Sci. Technol. 1989; 5: 865.

[11] Hild F, Roux S. Strain 2006; 42: 69.

[12] Duff J, Marrow TJ. Corrosion Sci 2012; 68: 34.

[13] Bay BK, Smith TS, Fyhire DP, Saad M. Exp. Mech. 1999; 39: 217.

[14] Mostafavi M, McDonald SA, Çetinel H, Mummery PM, Marrow TJ. Carbon 2013; 59: 325.

[15] Mostafavi M, McDonald SA, Mummery PM, Marrow TJ. Eng. Fract. Mech. 2013; In Press (http: /dx. doi. org/10. 1016/j. engfracmech. 2012. 11. 023).

[16] Roux S, Hild F, Viot P, Bernard D. Compos Pt A-Appl Sci Manuf 2008; 39: 1253.

[17] Réthoré J, Limodin N, Buffière JY, Hild F, Ludwig W, Roux S. J. Strain Anal. Eng. Des. 2011; 46: 683.

[18] King A, Johnson G, Ludwig W, Marrow TJ. Science 2008; 321: 382.

[19] King A, Ludwig W, Herbig M, Buffiere JY, Khan AA, Stevens N, Marrow TJ. Acta Mater. 2011; 59: 6761.

[20] Marrow TJ, Buffiere JY, Withers PJ, Johnson G, Engelberg DL. Int. J. Fatigue 2004; 26: 717.

[21] Munch B, Trtik P, Marone F, Stampanoni M. Optics Expr. 2009; 17: 8567.

[22] http: /physics. nist. gov/PhysRefData/Xcom/html/xcom1. html.

[23] Cloetens P, Pateyron-Salomé, Buffiere JY, Peix G, Baruchel J, Peyrin F, Schlenker M. J Appl Phys 1997; 81: 5878.

DOI: 10.1063/1.364374

[24] Sheridan WT, Keller MR, O'Connor CM, Brooks RA, Hanson KM. Med Phys 1980; 7: 108.

[25] DaVis. User's Manual. Gottingen: LaVision GmbH, (2012).

[26] Shoemaker K. Animating rotation with quaternion curves. In: Barsky BA, editor. Proceedings of SIGGRAPH '85, 19. San Fransisco, CA, USA, (1985).

[27] ABAQUS. User's Manual: Dassault Systèmes Simulia Corp., Providence, Rhode Island, Version 6. 10, (2010).

[28] Knowles A. Development of aluminium matrix nanocomposites Department of Materials. Oxford: University of Oxford, (2011).

[29] Seo YH, Kang CG. Compos Sci Technol 1999; 59: 643.

[30] Marrow TJ, Luprano V, Roberts S. J Am Ceram Soc 1993; 76: 2915.

[31] Mueth DM, Debregeas GF, Karczmar GS, Eng PJ, Nagal SR, Jaeger HM. Nature 2000; 406: 358.

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