Error estimation of nanoindentation mechanical properties near a dissimilar interface via finite element analysis and analytical solution methods

Journal of Materials Research

Volumn 25, Issue 12, 2010, Pages 2308-2316

  Zhao, Y ^a   Ovaert, T C ^a  

^a University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; CLOSE PROXIMITY; DISSIMILAR INTERFACES; ERROR ESTIMATIONS; FINITE ELEMENT ANALYSIS; FINITE ELEMENT MODELS; HETEROGENEOUS MATERIALS; HETEROGENEOUS SURFACE; INTERFACIAL REGION; METALLIC IMPLANTS; NANOINDENTATION METHOD; POTENTIAL ERRORS; PROBE SIZE; SAMPLE DATA; SOFT MATERIAL; SPHERICAL INDENTERS; TWO-MATERIALS;

ERRORS; FINITE ELEMENT METHOD; NANOINDENTATION; STIFFNESS; VICKERS HARDNESS TESTING;

MECHANICAL PROPERTIES;

EID: 78649501730     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/jmr.2010.0295     Document Type: Article

References (23)

1. R.B. King: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23, 1657 (1987).
2. W.C. Oliver and G.M. Pharr: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
3. J.S. Field and M.V. Swain: A simple predictive model for spherical indentation. J. Mater. Res. 8, 297 (1993).
4. S.V. Hainsworth, H.W. Chandler, and T.F. Page: Analysis of nanoindentation load displacement loading curves. J. Mater. Res. 11, 1987 (1996).
5. Y.T. Cheng and C.M. Cheng: What is indentation hardness? Surf. Coat. Technol. 417, 133 (2000).
6. S.G. Lewis, J. Beumer, C.R. Perri, and W.P. Hornburg: Single tooth implant supported restorations. Int. J. Oral Maxil. Imp. 3, 25 (1988).
7. T. Jemt: Modified single and short-span restorations supported by osseointegrated fixtures in the partially edentulous jaw. J. Prosthet. Dent. 55, 243 (1986).
8. P.T. Branemark, R. Adell, T. Albrektsson, U. Lekholm, S. Lundkvist, and B. Rockier: Osseointegrated titanium fixtures in the treatment of edentulousness. Biomaterials 4, 25 (1983).
9. M.C. Chang, C.C. Ko, C.C. Liu, W.H. Douglas, R. DeLong, W-J. Seong, J. Hodges, and K-N. An: Elasticity of alveolar bone near dental implant-bone interfaces after one month's healing. J. Biomech. 36, 1209 (2003).
10. P.A. Clark, A.M. Clark, A. Rodriguez, M.A. Hussain, and J.J. Mao: Nanoscale characterization of bone-implant interface and biomechanical modulation of bone ingrowth. Mater. Sci. Eng., C 27, 382 (2007).
11. H. Graf: Occlusal forces during function, in Proceedings of Symposium on Occlusion: Research on Form and Function, edited by A. Rowe (University of Michigan School of Dentistry, Ann Arbor, MI, 1975), p. 90.
12. H.Y. Chou, J.J. Jagodnik, and S. Muftu: Predictions of bone remodeling around dental implant systems. J. Biomech. 41, 1365 (2008).
13. S.C. Cowin: Bone stress adaptation models. J. Biomech. Eng. 115, 528 (1993).
14. J.E. Jakes, CR. Frihart, J.F. Beecher, RJ. Moon, and D.S. Stone: Experimental method to account for structural compliance in nanoindentation measurements. J. Mater. Res. 23, 1113 (2008).
15. Ya.S. Uflyand: Second basic problem of elasticity for a wedge. Trudy Leningr. Politekh. In-ta. 210, 87 (1960).
16. Ya.S. Uflyand: Some spatial elasticity problems for a wedge, in Continuum Mechanics and Related Problems of Analysis (Nauka, Moscow, 1972), p. 549.
17. J. Shim, H. Nakamura, and T. Ogawa: An understanding of the mechanism that promotes adhesion between roughened titanium implants and mineralized tissue. J. Biomech. Eng. 131, 054503 (2009).
18. G.Ya. Popov: An exact solution of the mixed elasticity problem in a quarter-space. Mech. Solids 38, 23 (2003).
19. H. Hertz: On the contact of elastic solids. J. Reine Angew. Math 92, 156 (1881).
20. A. Fischer-Cripps: Nanoindentation (Springer, New York, 2002).
21. G.M. Pharr, W.C. Oliver, and F.R. Brotzen: On the generality of the relationship among contact stiffness, contact area, and the elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).
22. A.E.H. Love: Boussinesq's problem for a rigid cone. Q. J. Math. 10, 161 (1939).
23. J. Zhang, G.L. Niebur, and T.C. Ovaert: Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation. J. Biomech. 41, 267 (2008).