Thermoviscoelastic models for polyethylene thin films

详细信息    查看全文

• 作者：Jun Li ; Kawai Kwok ; Sergio Pellegrino
• 关键词：Nonlinear viscoelasticity ; Free volume model ; Polymer thin film
• 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：13-43
• 全文大小：2,877 KB
• 参考文献：Smith, I.M.: The NASA balloon program: looking to the future. Adv. Space Res. 33, 1588–1593 (2004) CrossRef
  Smith, I.M., Rainwater, E.: Optimum designs for superpressure balloons. Adv. Space Res. 33, 1688–1693 (2004) CrossRef
  Schapery, R.A.: An engineering theory of nonlinear viscoelasticity with applications. Int. J. Solids Struct. 2, 407–425 (1966) CrossRef
  Schapery, R.A.: On the characterization of nonlinear viscoelastic materials. Polym. Eng. Sci. 9, 295–310 (1969) CrossRef
  Schapery, R.: Nonlinear viscoelastic and viscoplastic constitutive equations based on thermodynamics. Mech. Time-Depend. Mater. 1, 209–240 (1997) CrossRef
  Boyce, M.C., Parks, D.M., Argon, A.S.: Large inelastic deformation of glassy polymers. Part I: Rate dependent constitutive model. Mech. Mater. 7, 15–33 (1988) CrossRef
  Bergstrom, J.S., Boyce, M.C.: Constitutive modeling of the large strain time-dependent behavior of elastomers. J. Mech. Phys. Solids 46(5), 931–954 (1998) CrossRef
  Dupaix, R.B., Boyce, M.C.: Constitutive modeling of the finite strain behavior of amorphous polymers in and above the glass transition. Mech. Mater. 39, 39–52 (2006) CrossRef
  Caruthers, J.M., Adolf, D.B., Chambers, R.S., Shrikhande, P.: A thermodynamically consistent, nonlinear viscoelastic approach for modeling glassy polymers. Polymer 45, 4577–4597 (2004) CrossRef
  Wineman, A.: Nonlinear viscoelastic solids—a review. Math. Mech. Solids 14, 300–366 (2009) CrossRef MathSciNet MATH
  Rand, J., Henderson, J., Grant, D.: Nonlinear behavior of linear low-density polyethylene. Polym. Eng. Sci. 36, 1058–1064 (1996) CrossRef
  Rand, J., Sterling, W.: A constitutive equation for stratospheric balloon materials. Adv. Space Res. 37, 2087–2091 (2006) CrossRef
  Rand, J., Wakefield, D.: Studies of thin film nonlinear viscoelasticity for superpressure balloons. Adv. Space Res. 45, 56–60 (2010) CrossRef
  Gerngross, T., Xu, Y., Pellegrino, S.: Viscoelastic behavior of pumpkin balloons. Adv. Space Res. 42, 1683–1690 (2008) CrossRef
  Knauss, W., Emri, I.: Nonlinear viscoelasticity based on free volume consideration. Comput. Struct. 13, 123–128 (1981) CrossRef MATH
  Kwok, K., Pellegrino, S.: Large strain viscoelastic model for balloon film. In: 11th AIAA Balloon Systems Conference, Virginia Beach, VA (2011)
  Lakes, R.S.: Viscoelastic Solids. CRC Press, Boca Raton (1999)
  Brinson, H.F., Brinson, L.C.: Polymer Engineering Science and Viscoelasticity: An Introduction. Springer, New York (2008) CrossRef
  Knauss, W., Emri, I.: Volume change and the nonlinearly thermo-viscoelastic constitution of polymers. Polym. Eng. Sci. 27, 86–100 (1987) CrossRef
  Losi, G., Knauss, W.: Free volume theory and nonlinear thermoviscoelasticity. Polym. Eng. Sci. 32, 542–557 (1992) CrossRef
  Doolittle, A.: Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free-space. J. Appl. Mech. 22, 1471–1475 (1951)
  Popelar, C., Liechti, K.: Multiaxial nonlinear viscoelastic characterization and modeling of a structural adhesive. J. Eng. Mater. Technol. 119, 205–210 (1997) CrossRef
  Popelar, C., Liechti, K.: A distortion-modified free volume theory for nonlinear viscoelastic behavior. Mech. Time-Depend. Mater. 7, 89–141 (2003) CrossRef
  Schwarzl, F.R., Struik, L.C.E.: Analysis of relaxation measurements. Adv. Mol. Relax. Process. 1(3), 201–255 (1968) CrossRef
  Capodagli, J., Lakes, R.: Isothermal viscoelastic properties of pmma and ldpe over 11 decades of frequency and time: a test of time-temperature superposition. Rheol. Acta 47, 777–786 (2008) CrossRef
  Caruthers, J.M., Cohen, R.E.: Consequences of thermorheological complexity in viscoelastic materials. Rheol. Acta 19, 606–613 (1980) CrossRef
  Young, L.: CTE curve fitting data. NASA balloon program office report (2010)
  Vic-3D, Correlated Solutions Inc. (2010)
  Sutton, M.A., Orteu, J.J., Schreier, H.W.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications. Springer, Berlin (2009)
  Williams, M., Landel, R., Ferry, J.: The temperature dependence of relaxation mechanisms of amorphous polymers and other glass-forming liquids. J. Am. Chem. Soc. 77, 3701–3707 (1955) CrossRef
  Park, S.W., Kim, Y.R.: Fitting Prony-series viscoelastic models with power-law presmoothing. J. Mater. Civ. Eng. 13, 26–32 (2001) CrossRef
  Schapery, R.A.: Viscoelastic behavior and analysis of composite materials. In: Mechanics of Composite Materials (A 75-24868 10-39), pp. 85–168. Academic Press, New York (1974)
  Lai, J., Bakker, A.: 3-d Schapery representation for nonlinear viscoelasticity and finite element implementation. Comput. Mech. 18, 182–191 (1996) CrossRef MATH
  Hansen, N., Müller, S.D., Koumoutsakos, P.: Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol. Comput. 11, 1–18 (2003) CrossRef
  Hansen, N.: The CMA Evolutionary Strategy. Downloaded from https://​www.​lri.​fr/​~hansen/​cmaesintro.​html (2012)
  
• 作者单位：Jun Li (1) (2)
  Kawai Kwok (1) (3)
  Sergio Pellegrino (1)
  
  1. Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, CA, 91125, USA
  2. Dassault Systemes Simulia Corp., Johnston, RI, 02919, USA
  3. Department of Energy Conversion and Storage, Technical University of Denmark, Roskilde, Denmark
  
• 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

This paper presents a constitutive thermoviscoelastic model for thin films of linear low-density polyethylene subject to strains up to yielding. The model is based on the free volume theory of nonlinear thermoviscoelasticity, extended to orthotropic membranes. An ingredient of the present approach is that the experimentally inaccessible out-of-plane material properties are determined by fitting the model predictions to the measured nonlinear behavior of the film. Creep tests, uniaxial tension tests, and biaxial bubble tests are used to determine the material parameters. The model has been validated experimentally, against data obtained from uniaxial tension tests and biaxial cylindrical tests at a wide range of temperatures and strain rates spanning two orders of magnitude.