Determination of the properties of viscoelastic materials using spherical nanoindentation
详细信息    查看全文
  • 作者:Elena Martynova
  • 关键词:Relaxation function ; Spherical indenter ; Viscoelasticity ; Creep compliance
  • 刊名:Mechanics of Time-Dependent Materials
  • 出版年:2016
  • 出版时间:February 2016
  • 年:2016
  • 卷:20
  • 期:1
  • 页码:85-93
  • 全文大小:844 KB
  • 参考文献:Cakmac, U., Schöberl, T., Major, Z.: Nanoindentation of polymers. Meccanica 47(3), 707–718 (2012). doi:10.​1007/​s11012-011-9481-6 CrossRef
    Chen, D.L., Yang, P.F., Lai, Y.S.: A review of three-dimensional viscoelastic models with an application to viscoelasticity characterization using nanoindentation. Microelectron. Reliab. 52, 541–558 (2012) CrossRef
    Cheng, L., Xia, X., Yu, W., Scriven, L.E., Gerberich, W.W.: Flat-punch indentation of viscoelastic material. J. Polym. Sci. D Polym. Phys. 38, 10–22 (2000) CrossRef
    Cheng, L., Xia, X., Scriven, L.E., Gerberich, W.W.: Spherical tip indentation of viscoelastic material. Mech. Mater. 37, 213–226 (2005) CrossRef
    Demidovich, B.P.: A Collection of Tasks and Exercises in Mathematical Analysis, 9th edn. Nauka, Moscow (1997)
    Díez-Pascual, A.M., Gómez-Fatou, M.A., Ania, F., Flores, A.: Nanoindentation in polymer nanocomposites. Prog. Mater. Sci. 67, 1–94 (2015) CrossRef
    Huang, G., Lu, H.: Measurement of Young’s relaxation modulus using nanoindentation. Mech. Time-Depend. Mater. 10, 229–243 (2006) CrossRef MathSciNet
    Huang, G., Daphalapurkar, N.P., Gan, R.Z., Lu, H.: A method for measuring linearly viscoelastic properties of human tympanic membrane using nanoindentation. J. Biomech. Eng. 130(1) (2008). doi:10.​1115/​1.​2838034
    Il’yushin, A.A., Pobedrya, B.E.: Fundamentals of the Mathematical Theory of Thermoelasticity. Nauka, Moscow (1970)
    Kucuk, Y., Mollamahmutoglu, C., Wang, Y., Lu, H.: Nonlinearly viscoelastic nanoindentation of PMMA under a spherical tip. Exp. Mech. 53(5), 731–742 (2013) CrossRef
    Lee, E.H., Radok, J.R.M.: The contact problem for viscoelastic bodies. J. Appl. Mech. 27, 438–444 (1960) CrossRef MathSciNet MATH
    Lu, H., Huang, G.: Measurement of two independent viscoelastic functions using nanoindentation. Exp. Mech. 47, 87–98 (2007) CrossRef
    Lu, H., Zhang, X., Knauss, W.G.: Uniaxial, shear and Poisson relaxation and their conversions to bulk relaxation: studies on poly(metyl methacrylate). Polym. Eng. Sci. 37, 1053–1064 (1997) CrossRef
    Lu, H., Wang, B., Ma, J., Huang, G., Vismanathan, H.: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7, 189–207 (2003) CrossRef
    Lu, H., Huang, G., Wang, B.: Measurement of two independent viscoelastic functions using nanoindentation. In: SEM Ann. Conf. (2005)
    Mattice, J.M., Lau, A.G., Oyen, M.L., Kent, R.W.: Spherical indentation load–relaxation of soft biological tissue. J. Mater. Res. 21(8), 2003–2010 (2006) CrossRef
    Nikonov, A., Davies, R.A., Emri, I.: The determination of creep and relaxation functions from a single experiment. J. Rheol. 49, 1193–1211 (2005) CrossRef
    Oyen, M.L.: Spherical indentation creep following ramp loading. J. Mater. Res. 20, 2094–2100 (2005) CrossRef
    Polyanin, A.D., Manzhirov, A.V.: Handbook of Integral Equations, 2nd edn. Chapman & Hall/CRC Press, Boca Raton–London (2008) CrossRef MATH
    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, 47–57 (1965) CrossRef MathSciNet MATH
    Ting, T.C.T.: The contact stresses between a rigid indenter and a viscoelastic half-space. J. Appl. Mech. 33, 845–854 (1966) CrossRef MATH
    Tschoeg, N.W., Knauss, W.G., Emry, I.: Poisson’s ratio in linear viscoelasticity—a critical review. Mech. Time-Depend. Mater. 6, 3–51 (2002) CrossRef
    Tweedie, C.A., Van Vliet, K.J.: Contact creep compliance of viscoelastic materials via nanoindentation. J. Mater. Res. 21, 1576–1589 (2006) CrossRef
    VanLandingham, M.R., Chan, N.-K., Drzal, P.L., White, C.C., Chang, S.-H.: Viscoelastic characterization of polymers using instrumented indentation—I. Quasi-static testing. J. Polym. Sci. B Polym. Phys. 43, 1794–1811 (2005) CrossRef
    Zhou, Z., Lu, H.: On the measurements of viscoelastic functions of a sphere by nanoindentation. Mech. Time-Depend. Mater. 14, 1–24 (2010) CrossRef
  • 作者单位:Elena Martynova (1)

    1. Department of Mechanics and Mathematics, Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Mechanics
    Polymer Sciences
    Continuum Mechanics and Mechanics of Materials
    Characterization and Evaluation Materials
  • 出版者:Springer Netherlands
  • ISSN:1573-2738
文摘
The article is devoted to determining the properties of linearly viscoelastic isotropic materials from the experiment on the introduction of a spherical indenter at a constant-rate displacement in a viscoelastic sample. The results are based on the Lee–Radok (J. Appl. Mech. 27:438–444, 1960) solution of the viscoelastic contact problem. An exact formula is obtained for calculation of the relaxation function using indentation load–displacement data. To illustrate the application of this formula, it is used to find the relaxation function of polymethyl methacrylate (PMMA). The relaxation function found in the article is compared with data measured in a conventional test to evaluate the suitability of the proposed method.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700