Broadband nanoindentation of glassy polymers: Part II. Viscoplasticity

Journal of Materials Research

Volumn 27, Issue 2, 2012, Pages 475-484

  Jakes, Joseph E ^a,b   Lakes, Rod S ^c   Stone, Don S ^b  

^a FOREST PRODUCTS LABORATORY   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c University of Wisconsin Madison   (United States)

Author keywords

Hardness; Polymer; Viscoelasticity

Indexed keywords

GLASSY POLYMERS; INITIAL RATE; MEASURED PROPERTIES; PATH DEPENDENCE; RATE DEPENDENT; UNIAXIAL FLOW STRESS;

HARDNESS; MOLYBDENUM; NANOINDENTATION; PLASTIC FLOW; POLYSTYRENES; STRAIN RATE; VISCOELASTICITY; VISCOSITY;

POLYMERS;

EID: 84856192293     PISSN: 08842914     EISSN: 20445326     Source Type: Journal    
DOI: 10.1557/jmr.2011.364     Document Type: Article

References (62)

1. R.F. Boyer: Dependence of mechanical properties on molecular motion in polymers. Polym. Eng. Sci. 8(3), 161 (1968).
2. A.S. Argon: A theory for the low-temperature plastic deformation of glassy polymers. Philos. Mag. 28(4), 839 (1973).
3. A.E. Mayr, W.D. Cook, and G.H. Edward: Yielding behaviour in model epoxy thermosets-I. Effect of strain rate and composition. Polymer 39, 3719 (1998).
4. D. Rana, V. Sauvant, and J.L. Halary: Molecular analysis of yielding in pure and antiplasticized epoxy-amine thermosets. J. Mater. Sci. 37(24), 5267 (2002).
5. L. Lin and A.S. Argon: Rate mechanism of plasticity in the crystalline component of semicrystalline nylon 6. Macromolecules 27(23), 6903 (1994).
6. N.W.J. Brooks, R.A. Duckett, and I.M. Ward: Temperature and strain-rate dependence of yield stress of polyethylene. J. Polym. Sci., Part B: Polym. Phys. 36(12), 2177 (1998).
7. T. Kazmierczak, A. Galeski, and A.S. Argon: Plastic deformation of polyethylene crystals as a function of crystal thickness and compression rate. Polymer 46(21), 8926 (2005).
8. A. Strojny, X. Xia, A. Tsou, and W.W. Gerberich: Techniques and considerations for nanoindentation measurements of polymer thin film constitutive properties. J. Adhes. Sci. Technol. 12, 1299 (1998).
9. O.L. Warren and T.J. Wyrobek: Nanomechanical property screening of combinatorial thin-film libraries by nanoindentation. Meas. Sci. Technol. 16(1), 100 (2005).
10. D.M. Ebenstein and L.A. Pruitt: Nanoindentation of biological materials. Nano Today 1(3), 26 (2006).
11. J.E. Jakes, C.R. Frihart, and D.S. Stone: Creep properties of micronsize domains in ethylene glycol modified wood across 4 1/2 decades in strain rate, in Mechanics of Biological and Biomedical Materials, edited byK.Katti, C.Hellmich, U.G.K. Wegst, and R.Narayan (Mater. Res. Soc. Symp. Proc. 1132, Warrendale, PA, 2009), 1132-Z07-21.
12. W. Rostoker and J.O. Galante: Indentation creep of polymers for human joint applications. J. Biomed. Mater. Res. 13(5), 825 (1979).
13. M. Takahashi, M.C. Shen, R.B. Taylor, and A.V. Tobolsky: Master curves for some amorphous polymers. J. Appl. Polym. Sci. 8(4), 1548 (1964).
14. S.N.G. Chu and J.C.M. Li: Impression creep; a new creep test. J. Mater. Sci. 12(11), 2200 (1977).
15. J. Chen, G.A. Bell, D. Hanshan, J.F. Smith, and B.D. Beake: Astudy of low temperature mechanical properties and creep behaviour of polypropylene using a new sub-ambient temperature nanoindentation test platform. J. Phys. D: Appl. Phys. 43(42), 425404 (2010).
16. M.L. Oyen: Sensitivity of polymer nanoindentation creep measurements to experimental variables. Acta Mater. 55(11), 3633 (2007).
17. A.C. Fischer-Cripps: A simple phenomenological approach to nanoindentation creep. Mater. Sci. Eng., A 385(1-2), 74 (2004).
18. H. Li and A.H.W. Ngan: Size effects of nanoindentation creep. J. Mater. Res. 19(2), 513 (2004).
19. G. Constantinides, C.A. Tweedie, D.M. Holbrook, P. Barragan, J.F. Smith, and K.J. Van Vliet: Quantifying deformation and energy dissipation of polymeric surfaces under localized impact. Mater. Sci. Eng., A 489, 403 (2008).
20. A. Jager and R. Lackner: Identification of viscoelastic model parameters by means of cyclic nanoindentation testing. Int. J. Mater. Res. 99, 829 (2008).
21. H. Lu, B. Wang, J. Ma, G. Huang, and H. Viswanathan: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7, 189 (2003).
22. M.L. Oyen: Spherical indentation creep following ramp loading. J. Mater. Res. 20(8), 2094 (2005).
23. M.L. Oyen: Relating viscoelastic nanoindentation creep and load relaxation experiments. Int. J. Mater. Res. 99, 823 (2008).
24. C.A. Tweedie and K.J. Van Vliet: Contact creep compliance of viscoelastic materials via nanoindentation. J. Mater. Res. 21(6), 1576 (2006).
25. M.R. Vanlandingham, N.K. Chang, P.L. Drzal, C.C. White, and S.H. Chang: Viscoelastic characterization of polymers using instrumented indentation. I. Quasi-static testing. J. Polym. Sci., Part B: Polym. Phys. 43, 1794 (2005).
26. B. Beake: Modelling indentation creep of polymers: A phenomenological approach. J. Phys. D: Appl. Phys. 39, 4478 (2006).
27. C.Y. Zhang, Y.W. Zhang, K.Y. Zeng, and L. Shen: Characterization of mechanical properties of polymers by nanoindentation tests. Philos. Mag. 86, 4487 (2006).
28. J.E. Jakes, R.S. Lakes, and D.S. Stone: Broadband nanoindentation of glassy polymers: Part I. Viscoelasticity. J. Mater. Res. 27(2), 463 (2011).
29. A.A. Elmustafa, S. Kose, and D.S. Stone: The strain-rate sensitivity of the hardness in indentation creep. J. Mater. Res. 22(4), 926 (2007).
30. J.B. Puthoff, J.E. Jakes, H. Cao, and D.S. Stone: Investigation of thermally activated deformation in amorphous PMMA and Zr-Cu-Al bulkmetallic glasses with broadband nanoindentation creep. J.Mater. Res. 24(3), 1279 (2009).
31. D.S. Stone and K.B. Yoder: Division of the hardness ofmolybdenum into rate-dependent and rate-independent components. J. Mater. Res. 9(10), 2524 (1994).
32. K.B. Yoder,A.A. Elmustafa, J.C. Lin,R.A.Hoffman, andD.S. Stone: Activation analysis of deformation in evaporated molybdenum thin films. J. Phys. D: Appl. Phys. 36, 884 (2003).
33. M.F. Doerner and W.D. Nix: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1(4), 601 (1986).
34. D.S. Stone, J.E. Jakes, J.B. Puthoff, and A.A. Elmustafa: Analysis of indentation creep. J. Mater. Res. 25(4), 611 (2010).
35. J.E. Jakes, C.R. Frihart, J.F. Beecher, R.J. Moon, P.J. Resto, Z.H. Melgarejo, O.M. Surez, H. Baumgart, A.A. Elmustafa, and D.S. Stone: Nanoindentation near the edge. J. Mater. Res. 24(3), 1016 (2009).
36. J.E. Jakes, C.R. Frihart, J.F. Beecher, R.J. Moon, and D.S. Stone: Experimental method to account for structural compliance in nanoindentation measurements. J. Mater. Res. 23(4), 1113 (2008).
37. Q. Ma and D.R. Clarke: Size dependent hardness of silver single crystals. J. Mater. Res. 10(4), 853 (1995).
38. W.D. Nix andH. Gao: Indentation size effects in crystallinematerials: A law for strain gradient plasticity. J. Mech. Phys. Solids 46(3), 411 (1998).
39. C.A. Tweedie, G. Constantinides, K.E. Lehman, D.J. Brill, G.S. Blackman, and K.J. Van Vliet: Enhanced stiffness of amorphous polymer surfaces under confinement of localized contact loads. Adv. Mater. 19(18), 2540 (2007).
40. E.Amitay-Sadovsky, B.Ward,G.A. Somorjai, andK.Komvopoulos: Nanomechanical properties and morphology of thick polyurethane films under contact pressure and stretching. J. Appl. Phys. 91, 375 (2002). (Pubitemid 34047283)
41. A.C. Fischer-Cripps: Significance of a local temperature rise in nanoindentation testing. J. Mater. Sci. 39(18), 5849 (2004).
42. G. Swallowe and S. Lee: Quasi-static and dynamic compressive behaviour of poly(methyl methacrylate) and polystyrene at temperatures from 293 K to 363 K. J. Mater. Sci. 41(19), 6280 (2006).
43. N.A. Fleck, W.J. Stronge, and J.H. Liu: High strain-rate shear response of polycarbonate and polymethyl methacrylate. Proc. R. Soc. London, Ser. A. 429, 459 (1990).
44. J.Richeton, S. Ahzi,K.S.Vecchio, F.C. Jiang, andR.R.Adharapurapu: Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: Characterization and modeling of the compressive yield stress. Int. J. Solids Struct. 43(7-8), 2318 (2006).
45. T.L. Briggs and J.D. Campbell: The effect of strain rate and temperature on the yield and flow of polycrystalline niobium and molybdenum. Acta Metall. 20(5), 711 (1972).
46. B.N. Lucas and W.C. Oliver: Indentation power-law creep of highpurity indium. Metall. Mater. Trans. A 30(3), 601 (1999).
47. D. Tabor: A simple theory of static and dynamic hardness. Proc. R. Soc. London, Ser. A 192, 247 (1948).
48. D. Tabor: The hardness of solids. Rev. Phys. Technol. 1(3), 145 (1970).
49. D.M. Marsh: Plastic flow in glass. Proc. R. Soc. London, Ser. A 279 (1378), 420 (1964).
50. K.L. Johnson: Correlation of indentation experiments. J. Mech. Phys. Solids 18(2), 115 (1970).
51. K.L. Johnson: Contact Mechanics (Cambridge University Press, Cambridge, United Kingdom, 1985), p. 452.
52. G. Kermouche, J.L. Loubet, and J.M. Bergheau: Cone indentation of time-dependent materials: The effects of the indentation strain rate. Mech. Mater. 39, 24 (2007).
53. G. Kermouche, J.L. Loubet, and J.M. Bergheau: A new index to estimate the strain rate sensitivity of glassy polymers using conical/ pyramidal indentation. Philos. Mag. 86, 5667 (2006).
54. I.N. Sneddon: Relation between load and penetration in axisymmetric Boussinesq problem for punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
55. L.A. Davis and C.A. Pampillo: Deformation of polyethylene at high pressure. J. Appl. Phys. 42, 4659 (1971).
56. L.A. Davis and C.A. Pampillo: Kinetics of deformation of PTFE at high pressure. J. Appl. Phys. 43, 4285 (1972).
57. K.D. Pae, J.A. Sauer, and A.A. Silano: Shear deformation under hydrostatic pressure of polytetrafluoroethylene and polycarbonate, in Proceedings of the Sixth International Conference on High- Pressure Science and Technology, Boulder, CO, edited by K.D. Timmerhaus and M.S. Barber (1979), pp. 512-518.
58. I.W. Chen: Implications of transformation plasticity in ZrO2- containing ceramics: II. Elastic-plastic indentation. J. Am. Ceram. Soc. 69, 189 (1986).
59. P. Bardia and R. Narasimhan: Characterisation of pressure-sensitive yielding in polymers. Strain 42, 187 (2006).
60. V. Keryvin: Indentation as a probe for pressure sensitivity of metallic glasses. J. Phys. Condens. Matter 20(11), 114119 (2008).
61. M-Q. Le and S-S. Kim: Element analysis of instrumented sharp indentations into pressure-sensitive materials. J. Mater. Sci. Technol. 23(2), 277 (2007).
62. R. Narasimhan: Analysis of indentation of pressure sensitive plastic solids using the expanding cavity model. Mech. Mater. 36(7), 633 (2004).