This article provides a fresh look into the concept of the contact regimes in mechanistic analyses of indentation experiments performed in single crystals. In this context, spherical microindentation experiments in fcc metals are examined through detailed continuum crystal plasticity finite element simulations in order to provide meaning to the onset of fully-plastic and elasto-plastic contact regimes, which are well-known to rule the behavior of polycrystals exhibiting isotropic uniaxial stress–strain curves. Attention is then given to evaluate the applicability of Taborʼs hardness relation in ruling fully-plastic single-crystal spherical indentations as well as the extraction of the uniaxial plastic flow properties from a series of microindentation tests performed at different penetrations. A discussion is finally provided on the applicability of self-similarity assumptions to the analysis of single-crystal fully-plastic indentations.
Jorge Alcalá 1; Daniel Esqué-de los Ojos 1
@article{CRMECA_2011__339_7-8_458_0, author = {Jorge Alcal\'a and Daniel Esqu\'e-de los Ojos}, title = {Extending the contact regimes to single-crystal indentations}, journal = {Comptes Rendus. M\'ecanique}, pages = {458--465}, publisher = {Elsevier}, volume = {339}, number = {7-8}, year = {2011}, doi = {10.1016/j.crme.2011.05.004}, language = {en}, }
Jorge Alcalá; Daniel Esqué-de los Ojos. Extending the contact regimes to single-crystal indentations. Comptes Rendus. Mécanique, Surface mechanics : facts and numerical models, Volume 339 (2011) no. 7-8, pp. 458-465. doi : 10.1016/j.crme.2011.05.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.05.004/
[1] Contact Mechanics, Cambridge University Press, United Kingdom, 1985
[2] The theory of wedge indentation of ductile materials, Proc. R. Soc. London A, Volume 188 (1947), pp. 273-289
[3] An axi-symmetrical problem in plasticity and the Brinell test, Appl. Math. Mech., Volume 8 (1944), pp. 201-224
[4] Hardness of Metals, Clarendon Press, Oxford, United Kingdom, 1951
[5] A hardness equation for sharp indentation of elastic-power-law strain-hardening materials, Philos. Mag. A, Volume 82 (2002), pp. 1831-1839
[6] The plastic zone size in indentation experiments: The analogy with the expansion of a spherical cavity, Int. J. Solids Struct., Volume 43 (2006), pp. 5994-6013
[7] Two new expanding cavity models for indentation deformations of elastic strain-hardening materials, Int. J. Solids Struct., Volume 43 (2006), pp. 2193-2208
[8] Conical indentation of strain hardening solids, Eur. J. Mech. A – Solids, Volume 27 (2008), pp. 210-221
[9] Determination of plastic properties by instrumented spherical indentation: Expanding cavity model and similarity solution approach, J. Mater. Res., Volume 24 (2009), pp. 1045-1053
[10] A theoretical study of the Brinell hardness test, Proc. R. Soc. London A, Volume 423 (1989), pp. 301-330
[11] Influence of penetration depth and mechanical properties on contact radius determination for spherical indentation, Int. J. Solids Struct., Volume 43 (2006), pp. 4136-4153
[12] An accurate and fast approach for determining materials stress–strain curves by nanoindentation and its FEM-based simulation, Mater. Charact., Volume 56 (2006), pp. 147-157
[13] On the sensitivity characteristics in the determination of the elastic and plastic properties of materials through multiple indentation, J. Mater. Res., Volume 22 (2007), pp. 1043-1063
[14] Comparative study of heat-affected zone with weld and base material after post-weld heat treatment of HSLA steel using ball indentation technique, J. Mater. Sci., Volume 43 (2008), pp. 5474-5482
[15] Numerical verification for instrumented spherical indentation techniques in determining the plastic properties of materials, J. Mater. Res., Volume 24 (2009), pp. 3653-3663
[16] Numerical analysis of plastic deformation evolution into metallic materials during spherical indentation process, J. Mater. Res., Volume 24 (2009), pp. 1270-1278
[17] Estimation of the anisotropic plastic property using single spherical indentation – An FEM study, Comput. Mater. Sci., Volume 47 (2009), pp. 611-619
[18] Effective indenter radius and frame compliance in instrumented indentation testing using a spherical indenter, J. Mater. Res., Volume 24 (2009), pp. 2965-2973
[19] A study on robust indentation techniques to evaluate elastic–plastic properties of metals, Int. J. Solids Struct., Volume 47 (2010), pp. 647-664
[20] Orientation dependence of nanoindentation pile-up patterns and of nanoindentation microtextures in copper single crystals, Acta Mater., Volume 52 (2004), pp. 2229-2238
[21] Modeling and experiments on the indentation deformation and recrystallization of a single-crystal nickel-base superalloy, Mater. Sci. Eng. A, Volume 454–455 (2007), pp. 433-440
[22] Crystal plasticity finite element simulations of pyramidal indentation in copper single crystals, Acta Mater., Volume 55 (2007), pp. 55-68
[23] Orientation effects in nanoindentation of single crystal copper, Int. J. Plasticity, Volume 24 (2008), pp. 1990-2015
[24] Micromechanics of pyramidal indentation in fcc metals: single crystal plasticity analysis, J. Mech. Phys. Solids, Volume 56 (2008), pp. 3277-3303
[25] The role of crystalline anisotropy in mechanical property extractions through Berkovich indentation, J. Mater. Res., Volume 24 (2009), pp. 1235-1244
[26] A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales, Int. J. Plasticity, Volume 25 (2009), pp. 1436-1455
[27] Micromechanics of crystals and polycrystals, Adv. Appl. Mech., Volume 23 (1983), pp. 1-115
[28] Corrigendum to “Micromechanics of pyramidal indentation in fcc metals: Single crystal plasticity finite element analysis” [J. Mech. Phys. Solids 56 (2008) 3277–3303], J. Mech. Phys. Solids, Volume 58 (2010), p. 751
[29] An analysis of nonuniform and localized deformation in ductile single-crystals, Acta Metall., Volume 30 (1982), pp. 1087-1119
[30] Material rate dependence and localized deformation in crystalline solids, Acta Metall., Volume 31 (1983), pp. 1951-1976
[31] Reassessing spherical indentation: contact regimes and mechanical property extractions, Int. J. Solids Struct., Volume 47 (2010), pp. 2714-2732
Cited by Sources:
Comments - Policy