The use of flat punch indentation to determine the viscoelastic properties in the time and frequency domains of a soft layer bonded to a rigid substrate

Acta Biomaterialia

Volumn 5, Issue 1, 2009, Pages 240-248

  Cao, Yanping ^a   Ma, Duancheng ^a   Raabe, Dierk ^a  

^a MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

Author keywords

Biological materials; Indentation; Polymeric films and coatings; Relaxation function; Viscoelastic properties

Indexed keywords

CARTILAGE; HARD COATINGS; POLYMER FILMS; PROTECTIVE COATINGS; SUBSTRATES;

ASYMPTOTIC SOLUTIONS; AXISYMMETRIC; FILMS AND COATINGS; FLAT PUNCH INDENTATION; FLAT PUNCHES; POLYMERIC FILM AND COATING; RELAXATION FUNCTIONS; RIGID SUBSTRATES; TIME AND FREQUENCY DOMAINS; VISCOELASTIC PROPERTIES;

VISCOELASTICITY;

BIOMATERIAL; POLYMER;

ARTICLE; COMPRESSIVE STRENGTH; LINEAR SYSTEM; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; MECHANICAL STRESS; PRIORITY JOURNAL; RIGIDITY; STRESS STRAIN RELATIONSHIP; VALIDATION PROCESS; VISCOELASTICITY; WEIGHT BEARING; YOUNG MODULUS;

EID: 56349123671     PISSN: 17427061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actbio.2008.07.020     Document Type: Article

References (43)

1. Doerner M.F., and Nix W.D. A method for interpreting the data from depth-sensing indentation instruments. J Mater Res 1 (1986) 601
2. Oliver W.C., and Pharr G.M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 7 (1992) 1564
3. Huber N., and Tsakmakis C. Determination of constitutive properties from spherical indentation data using neural networks. Part I and II. J Mech Phys Solids 47 (1999) 1569
4. Cheng Y.T., and Cheng C.M. Scaling, dimensional analysis, and indentation measurements. Mater Sci Eng R 44 (2004) 91
5. Zhao M.H., Ogasawara N., Chiba N., and Chen X. A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation. Acta Mater 54 (2006) 23
6. Cao Y.P., Qian X.Q., and Huber N. Spherical indentation into elastoplastic materials: indentation-response based definitions of the representative strain. Mater Sci Eng A 454-455 (2007) 1
7. Gouldstone A., Chollacoop N., Dao M., Li J., Minor A.M., and Shen Y.L. Indentation across size scales and disciplines: recent developments in experimentation and modeling. Acta Mater 55 (2007) 4015
8. Cheng L., Xia X., Yu W., et al. Flat-punch indentation of viscoelastic material. J Polym Sci B Polym Phys 38 (2000) 10
9. VanLandingham M.R., Villarrubia J.S., Guthrie W.F., et al. Nanoindentation of polymers. An overview. Macromol Symp 167 (2001) 15
10. Lu H., Wang B., Ma J., et al. Measurement of creep compliance of solid polymers by nanoindentation. Mech Time-Depend Mater 7 (2003) 189
11. Oyen M.L., and Cook R.F.J. Load-displacement behavior during sharp indentation of viscous-elastic-plastic materials. Mater Res 18 (2003) 139
12. Zhang C.Y., Zhang Y.W., and Zeng K.Y. Extracting the mechanical properties of a viscoelastic polymeric film on a hard elastic substrate. J Mater Res 19 (2004) 3053
13. Sakai M., Zhang J., and Matsuda A. Elastic deformation of coating/substrate composites in axisymmetric indentation. J Mater Res 20 (2005) 2173
14. Odegard G.M., Gates T.S., and Herring H.M. Characterization of viscoelastic properties of polymeric materials through nanoindentation. Exp Mech 45 (2005) 130
15. Huang G., and Lu H.B. Measurement of Young's relaxation modulus using nanoindentation. Mech Time-Depend Mater 10 (2006) 229
16. Ozkan N., Xin H., and Chen X.D. Application of a depth sensing indentation hardness test to evaluate the mechanical properties of food materials. J Food Sci 67 (2002) 1814
17. Rho J.Y., Tsui T.Y., and Pharr G.M. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 18 (1997) 1325
18. Moses D.N., Mattoni M.A., Slack N.L., et al. Role of melanin in mechanical properties of Glycera jaws. Acta Biomater 2 (2006) 521
19. Angker L., and Swain M.V. Nanoindentation: application to dental hard tissue investigations. J Mater Res 21 (2006) 1893
20. Ebenstein D.M., and Pruitt L.A. Nanoindentation of biological materials. Nano Today 1 (2006) 26
21. Oyen M.L., and Ko C.C. Examination of local variations in viscous, elastic, and plastic indentation responses in healing bone. J Mater Sci Mater Med 18 (2007) 623
22. Yang S., and Saif M.T.A. Force response and actin remodeling (agglomeration) in fibroblasts due to lateral indentation. Acta Biomater 3 (2007) 77
23. Suresh S. Biomechanics and biophysics of cancer cells. Acta Biomater 3 (2007) 413
24. Hayes W.C., Keer L.M., Herrmann G., and Mockros L.F. A mathematical analysis for indentation tests of articular cartilage. J Biomech 5 (1972) 541
25. Johnson K.L. Contact mechanics (1985), Cambridge University Press
26. King R.B. Elastic analysis of some punch problems for a layered medium. Int J Solid Struct 23 (1987) 1657
27. Jaffar M.J. A numerical solution for axisymmetric contact problems involving rigid indenters on elastic layers. J Mech Phys Solids 36 (1988) 401
28. Jaffar M.J. A general solution to the axisymmetric frictional contact problem of a thin bonded elastic layer. Proc Inst Mech Eng C 211 (1997) 549
29. Yang F.Q. Indentation of an incompressible elastic film. Mech Mater 30 (1998) 275
30. Yang F.Q. Asymptotic solution to axisymmetric indentation of a compressible elastic thin film. Thin Solid Films 515 (2006) 2274
31. Sneddon I.N. The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int J Eng Sci 3 (1965) 47
32. Lebedev N.N., and Ufliand I.S. Axisymmetric contact problem for an elastic layer. J Appl Math Mech 22 (1958) 320
33. Huang G., Wang B., and Lu H. Measurements of viscoelastic functions in frequency-domain by nanoindentation. Mech Time-Depend Mater 8 (2004) 345
34. Cheng Y.T., Ni W.Y., and Cheng C.M. Nonlinear analysis of oscillatory indentation in elastic and viscoelastic solids. Phys Rev Lett 97 (2006) 075506
35. ABAQUS Theory Manual Version 6.5. Pawtucket: HKS Inc.; 2006.
36. Lockettt F.J. Nonlinear viscoelastic solids (1972), Academic Press, London
37. Zhang M., Zheng Y.P., and Mak A.F.T. Estimating the effective Young's modulus of soft tissues from indentation tests-nonlinear finite element analysis of effects of friction and large deformation. Med Eng Phys 19 (1997) 512
38. Lu H, Huang G, Wang F. Measurements of viscoelastic properties of polymers using flat punch indenter. In: Proceedings of the SEM annual conference and exposition on experimental and applied mechanics, vol. 2; 2007. p. 697.
39. Fischer-Cripps A.C. Multiple-frequency dynamic nanoindentation testing. J Mater Res 19 (2004) 2981
40. Oyen M.L. Sensitivity of polymer nanoindentation creep measurements to experimental variables. Acta Mater 55 (2007) 3633
41. Kiviranta P., Rieppo J., Korhonen R.K., Julkunen P., Töyrä s J., and Jurvelin J.S. Collagen network primarily controls Poisson's ratio of bovine auricular cartilage in compression. J Orthop Res (2006) 690-699
42. Greenleaf J.F., Fatemi M., and Insana M. Selected methods for imagining elastic properties of biological tissues. Annu Rev Biomed Eng 5 (2003) 57
43. Bracewell R.N. The Fourier transform and its applications. 3rd ed. (2000), McGraw-Hill, Boston (MA)