Reassessing spherical indentation: Contact regimes and mechanical property extractions

International Journal of Solids and Structures

Volumn 47, Issue 20, 2010, Pages 2714-2732

  Alcala J ^a   Esque De Los Ojos D ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Contact mechanics; Hardness; Indentation; Plasticity theory

Indexed keywords

CONTACT DEFORMATION; CONTACT MECHANICS; DEFORMATION THEORY; ELASTO-PLASTIC; FINITE ELEMENT SIMULATIONS; FLOW THEORIES; FRICTIONAL EFFECTS; FULLY-PLASTIC; HARDNESS INDENTATION; HARDNESS MEASUREMENT; HARDNESS VALUES; INDENTATION BEHAVIOR; INDENTATION EXPERIMENT; LARGE DEFORMATIONS; MATERIAL PILEUP; N VALUE; PLASTIC MODELS; PLASTICITY THEORY; POLYCRYSTALLINE METALS; POWER-LAW; SELF-SIMILARITIES; SPHERICAL INDENTATION EXPERIMENTS; SPHERICAL INDENTATIONS; STRAIN HARDENING COEFFICIENT; YIELD STRENGTH; YOUNG'S MODULUS;

DEFORMATION; ELASTOPLASTICITY; EXPERIMENTS; FRICTION; HARDNESS; MEASUREMENTS; MECHANICAL PROPERTIES; METAL RECOVERY; PLASTICITY; PLASTICS; SPHERES; STRAIN HARDENING;

INDENTATION;

EID: 77955472831     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.05.025     Document Type: Article

References (61)

1. J.-H. Ahn, and D. Kwon Derivation of plastic stress-strain relationship from ball indentations: examination of strain definition and pileup effect J. Mater. Res. 16 2001 3170 3178
2. J. Alcalá, A.C. Barone, and M. Anglada The influence of plastic hardening on surface deformation modes around Vickers and spherical indents Acta Mater. 48 2000 3451 3464
3. J. Alcalá, A.E. Giannakopoulos, and S. Suresh Continuous measurements of load-penetration curves with spherical microindenters and the estimation of mechanical properties J. Mater. Res. 13 1998 1390 1400
4. J. Alcalá, O. Casals, and J. Ocenasek Micromechanics of pyramidal indentation in fcc metals: single crystal plasticity analysis J. Mech. Phys. Solids 56 2008 3277 3303
5. Alcalá, J., Esqué-de los Ojos, D., Ocenásek, J., 2010. Continum crystal plasticity analyses of the plastic flow features underneath single-crystal indentation, Philos. Mag. A, doi:10.1080/14786435. 2010.488636.
6. M. Beghini, L. Bertini, and V. Fontanari Evaluation of the stress-strain curve of metallic materials by spherical indentation Int. J. Solids Struct. 43 2006 2441 2459
7. S. Biwa, and B.J. Störakers Analysis of fully plastic Brinell indentation J. Mech. Phys. Solids 43 1995 1303 1334
8. G. Bolzon, G. Maier, and M. Panico Material model calibration by indentation, imprint mapping and inverse analysis Int. J. Solids Struct. 41 2004 11 12 2957-2975
9. B. Budiansky A reassessment of deformation plasticity theories J. Appl. Mech. 26 1959 259 264
10. Y.P. Cao, and J. Lu A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve Acta Mater. 52 2004 4023 4032
11. Y.P. Cao, X.Q. Qian, and N. Huber Spherical indentation into elastoplastic materials: indentation-response based definitions of the representative strain Mater. Sci. Eng. A454 2007 1 13
12. O. Casals, and J. Alcalá The duality in mechanical property extractions from Vickers and Berkovich instrumented indentation experiments Acta Mater. 53 2005 3545 3561
13. O. Casals, J. Ocenasek, and J. Alcalá Crystal plasticity finite element simulations of pyramidal indentation in copper single crystals Acta Mater. 55 2007 55 68
14. M.M. Chaudhri Subsurface strain distribution around spherical indentations in metals Philos. Mag. A. 74 1996 1213 1224
15. Y.-T. Cheng, and Z. Li Hardness obtained from conical indentations with various cone angles J. Mater. Res. 15 2000 2830 2835
16. J. Christoffersen, and J.W. Hutchinson A class of phenomenological corner theories of plasticity J. Mech. Phys. Solids 27 1979 465 487
17. M. Dao, N. Chollacoop, K.J. Van Vliet, T.A. Venkatesh, and S. Suresh Computational modeling of the forward and reverse problems in instrumented sharp indentation Acta Mater. 49 2001 3899 3918
18. D. Durban, and R. Masri Conical indentation of strain-hardening solids Eur. J. Mech. A - Solids 27 2008 210 221
19. D. Durban A comparative study of simple shear at finite strains of elastoplastic solids Quart. J. Mech. Appl. Math. 43 1990 449 465
20. X.L. Gao, X.N. Jing, and G. Subhash Two new expanding cavity models for indentation deformations of elastic strain-hardening materials Int. J. Solids Struct. 43 2006 2193 2208
21. E. Harsono, S. Swaddiwudhipong, and Z.S. Liu The effect of friction on indentation test results Model. Simul. Mater. Sci. Eng. 16 2008 065001
22. M.Y. He, G.R. Odette, T. Yamamoto, and D. Klingensmith A universal relationship between indentation hardness and flow stress J. Nucl. Mater. 367 2007 556 560
23. X. Hernot, O. Bartier, Y. Bekouche, R. El Abdi, and G. Mauvoisin Influence of penetration depth and mechanical properties on contact radius determination for spherical indentation Int. J. Solids Struct. 43 2006 4136 4153
24. R. Hill, E.H. Lee, and S.J. Tupper The theory of wedge indentation of ductile materials Proc. Royal Soc. London A188 1947 273 289
25. R. Hill, B. Störakers, and A.B. Zdunek A theorical study of the Brinell hardness test Proc. Royal Soc. London A423 1989 301 330
26. J.W. Hutchinson Plastic buckling Adv. Appl. Mech. 14 1974 67 144
27. A.J. Ishlinsky The axi-symmetrical problem in plasticity and the Brinell test Appl. Math. Mech. 8 1944 201
28. S. Jayaraman, G.T. Hahn, W.C. Oliver, C.A. Rubin, and P.C. Bastias Determination of monotonic stress-strain curve of hard materials from ultra-low-load indentation tests Int. J. Solids Struct. 35 1998 365 381
29. P. Jiang, T. Zhang, Y. Feng, R. Yang, and N. Liang Determination of plastic properties by instrumented spherical indentation: Expanding cavity model and similarity solution approach J. Mater. Res. 24 2009 1045 1053
30. K.L. Johnson Contact Mechanics 1985 Cambridge University Press United Kingdom
31. B.S.-J. Kang, Z. Yao, and E.J. Barbero Post-yielding stress-strain determination using spherical indentation Mech. Adv. Mater. Struct. 13 2006 129 138
32. J.Y. Kim, K.W. Lee, J.S. Lee, and D. Kwon Determination of tensile properties by instrumented indentation technique: representative stress and strain approach Surf. Coat. Technol. 201 2006 4278 4283
33. PL. Larsson Investigation of sharp contact at rigid-plastic conditions Int J. Mech. Sci. 43 2001 895 920
34. P.-L. Larsson, A.E. Giannakopoulos, E. Söderlund, D.J. Rowcliffe, and R. Vestergaard Analysis of Berkovich indentation Int. J. Solids Struct. 33 1996 221 248
35. Y.Y. Lim, and M.M. Chaudhri The effect of the indenter load on the nanohardness of ductile metals: an experimental study on polycrystalline work-hardened and annealed oxygen-free copper Philos. Mag. A. 79 1999 2979 3000
36. L. Liu, N. Ogasawara, N. Chiba, and X. Chen Can indentation technique measure unique elastoplastic properties? J. Mater. Res. 24 2009 784 800
37. F.J. Lockett Indentation of a rigid plastic material by a conical indenter J. Mech. Phys. Solids 11 1963 345 355
38. M. Mata, M. Anglada, and J. Alcalá Contact deformation regimes around sharp indentations and the concept of the characteristic strain J. Mater. Res. 17 2002 964 976
39. M. Mata, M. Anglada, and J. Alcalá A hardness equation for sharp indentation of elastic-power-law strain-hardening materials Philos. Mag. A. 82 2002 1831 1839
40. M. Mata, and J. Alcal Mechanical property evaluation through sharp indentations in elastoplastic and fully plastic contact regimes J. Mater. Res. 18 2003 1705 1709
41. M. Mata, and J. Alcal The role of friction on sharp indentation J. Mech. Phys. Solids 52 2004 145 165
42. M. Mata, O. Casals, and J. Alcalá The plastic zone size in indentation experiments: the analogy with the expansion of a spherical cavity Int. J. Solids Struct. 43 2006 5994 6013
43. S. Mesarovic, and N. Fleck Spherical indentation of elastic-plastic solids Proc. Royal Soc. London A 455 1999 2707 2728
44. M.J. Michno, and W.N. Findley An historical perspective of yield surface investigations for metals Int. J. Non-linear Mech. 11 1976 59 82
45. A. Nayebi, R. El Abdi, O. Bartier, and G. Mauvoisin New procedure to determine steel mechanical parameters form the spherical indentation technique Mech. Mater. 34 2002 243 254
46. K.W. Neale Phenomenological constitutive laws in finite plasticity SM Arch. 6 1981 79 128
47. A.L. Norbury, and T. Samuel The recovery and sinking-in or piling-up of material in the Brinell test, and the effects of these factors on the correlation of the Brinell with certain other hardness tests J. Iron Steel Inst. 17 1928 673 687
48. H. O'Neill Hardness Measurement of Metals and Alloys 1967 Chapman and Hall Ltd. Great Britain
49. N. Ogasawara, N. Chiba, and X. Chen Representative strain of indentation analysis J. Mater. Res. 20 2005 2225 2234
50. E. Ore, and D. Durban Elastoplastic buckling of axially compressed circular cylindrical shells Int. J. Mech. Sci. 34 1992 727 742
51. O. Richmond, H.L. Morrison, and M.L. Devenpeck Sphere indentation with application to Brinell hardness test Int. J. Mech. Sci. 16 1974 75 82
52. J.C. Simo, and T.J.R. Hughes Computational Inelasticity 2000 Springer-Verlag New York
53. F.O. Sonmez, and A. Demir Analytical relations between hardness and strain for cold formed parts J. Mater. Process. Technol. 186 2007 163 173
54. S. Stören, and J.R. Rice Localized necking in thin sheets J. Mech. Phys. Solids 23 1975 421 441
55. D. Tabor The Hardness of Metals 1951 Clarendon Press United Kingdom
56. B. Taljat, and G.M. Pharr Development of pile-up during spherical indentation of elastic-plastic solids Int. J. Solids Struct. 41 2004 3891 3904
57. B. Taljat, T. Zacharia, and F. Kosel New analytical procedure to determine stress-strain curve from spherical indentation data Int. J. Solids Struct. 35 1998 4411 4426
58. Y. Tirupataiah, and G. Sundararajan On the constraint factor associated with the indentation of work-hardening materials with a spherical ball Metall. Trans. A. 22 1991 2375 2384
59. Y. Wenyi, Q.P. Sun, X.Q. Feng, and L.M. Qian Analysis of spherical indentation of superelastic shape memory alloys Int. J. Solids Struct. 44 2007 1 17
60. Z.H. Xu, and J. Agren An analysis of piling-up or sinking-in behaviour of elastic-plastic materials under a sharp indentation Philos. Mag. 84 2004 2367 2380
61. W. Yu, and J.P. Blanchard An elastic-plastic indentation model and its solutions J. Mater. Res. 11 1996 2358 2367