Abstract
Based on dimensional analysis, we analysed the indentation of a rigid indenter into a power-law creep solid for which the relationship between the stress and the strain rate is given by \(\sigma=b\dot{\varepsilon}^{n}\) . It is shown that under a described condition the creep exponent n can be determined without invoking the detail knowledge of the indenter profile and the shape of the indented solid. The result reported herein should be useful for interpreting the data of nanoindentation into a power-law creep solid in the case that the indented solid is not a flat half-space and/or the indenter has tip defects. The performance of the simple method to evaluate the creep exponent is examined by using numerical experiments and its limitations also discussed.
Similar content being viewed by others
References
ABAQUS Theory Manual Version 6.4. Hibbitt, Karlsson and Sorensen Inc, Pawtucket (2004)
Alkorta, J., Gil Sevillano, J.: Measuring the strain rate sensitivity by instrumented indentation. Application to an ultrafine grain (equal channel angular-pressed) eutectic Sn–Bi alloy. J. Mater. Res. 19, 282–290 (2004)
Barenblatt, G.I.: Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge (1996)
Bei, H., George, E.P., Hay, J.L., Pharr, G.M.: Influence of indenter tip geometry on elastic deformation during nanoindentation. Phys. Rev. Lett. 95, 045501 (2005)
Bower, A.F., Fleck, N.A., Needleman, A., Ogbonna, N.: Indentation of a power law creep solid. Proc. R. Soc. Lond. Ser. A 441, 97–124 (1993)
Cao, Y.P., Lu, J.: Depth-sensing instrumented indentation with dual sharp indenters: Stability analysis and corresponding regularization schemes. Acta Mater. 52, 1143–1153 (2004)
Cheng, Y.T., Cheng, C.M.: What is indentation hardness? Surf. Coat. Technol. 133–134, 417–424 (2000)
Chu, S.N.G., Li, J.C.M.: Impression Creep: A new creep test. J. Mater. Sci. 12, 2200–2208 (1977)
Hill, R.: Similarity analysis of creep indentation tests. Proc. R. Soc. Lond. Ser. A 436, 617–630 (1992)
Li, J.C.M.: Impression creep and other localized tests. Mater. Sci. Eng. A 322, 23–42 (2002)
Lucas, B.N., Oliver, W.C., Pharr, G.M., Loubet, J.-L.: Understanding time dependent deformation during indentation testing. In: Gerberich, W.W., Gao, H., Sundgren, J.E., Baker, S.P. (eds.) Thin Films: Stresses and Mechanical Properties VI. Materials Research Society Symposium Proceedings, vol. 436, pp. 233–238. Materials Research Society, Pittsburg (1997)
Lu, H., Wang, B., Ma, J., Huang, G., Viswanathan, H.: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7, 189–207 (2003)
Takagi, H., Dao, M., Fujiwara, M., Otsuka, M.: Experimental and computational characterization Al–Mg solid-solution alloy through instrumented indentation. Phil. Mag. 83, 3959–3976 (2003)
Author information
Authors and Affiliations
Corresponding author
Additional information
An erratum to this article can be found at http://dx.doi.org/10.1007/s11043-007-9039-0
Rights and permissions
About this article
Cite this article
Cao, Y. Determination of the creep exponent of a power-law creep solid using indentation tests. Mech Time-Depend Mater 11, 159–172 (2007). https://doi.org/10.1007/s11043-007-9033-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11043-007-9033-6