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Simplified Bulk Experiments and Hygrothermal Nonlinear Viscoelasticity

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Abstract

Bulk and shear linear viscoelastic functions were simultaneously determined using confined compression experiments on an epoxy primer, one component of a concrete/fiber-reinforced polymer composite bond line. The results were validated with data from separately conducted bulk creep compliance experiments. The transition region of the bulk modulus was as wide as those of the tensile and shear relaxation moduli. Thermal and hygral expansions were measured and used to calibrate a hybrid nonlinear viscoelastic constitutive model which represented the hygrothermal nonlinear viscoelastic response of the material. This model was a combination of Schapery’s (Further Development of a Thermodynamic Constitutive Theory: Stress Formulation, AA {&} ES Report (69–2), 1969a, Purdue University, West Lafayette; Schapery, R.A., ‘On the characterization of nolinear viscoelastic materials’, Polym. Eng. Sci. 9 1969b, 295–310.) and Popelar’s (K., ‘Multiaxial nonlinear viscoelastic characterization and modeling of a structural adhesive’, J. Eng. Mater. Technol. Trans. ASME 119, 1997, 205–210.) shear modified free volume model, which was calibrated ramp using torsion and tension experiments at various temperature and humidity levels. Using free volume concepts to accomplish time shifting as a function of strain, temperature and humidity levels did not create the extent of the softening behavior that was observed in the experiments, particularly at high humidity levels. The vertical shifting concepts of Schapery were required to capture the extraordinarily strong hygral effect.

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References

  • Arzoumanidis, G.A. and Liechti, K.M., ‘Linear viscoelastic property measurement and its significance to some nonlinear viscoelasticity models’, Mech. Time-Dependent Mater. 7(3–4), 2003, 209–250.

    Article  CAS  Google Scholar 

  • Deng, T.H. and Knauss, W.G., ‘The temperature and frequency dependence of the bulk compliance of poly (vinyl acetate). A re-examination’, Mech. Time-Dependent Mater. 1, 1997, 33–49.

    Article  Google Scholar 

  • Doolittle, A.K., ‘Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free-space’, J. Appl. Mech. 22, 1951, 1471–1475.

    CAS  Google Scholar 

  • Drozdov, A., Viscoelasic Structures – Mechanics of Growth and Aging, Academic Press, 1998.

  • Ferry, J.D., Viscoelastic Properties of Polymers, Wiley, New York, 1980.

    Google Scholar 

  • Guth, E., Wack, P.E. and Anthony, R.L., ‘Significance of the equation for state for rubber’, J. Appl. Phys. 17, 1946, 347–351.

    Article  CAS  Google Scholar 

  • Knauss, W.G. and Emri, I., ‘Volume change and the nonlinearly thermo-viscoelastic constitution of polymers’, Polym. Eng. Sci. 27(1), 1987, 86–100.

    Article  CAS  Google Scholar 

  • Knauss, W.G. and Emri, I., ‘Non-linear viscoelasticity based on free volume consideration’, Comput. Struct. 13, 1981, 123–128.

    Article  Google Scholar 

  • Knauss, W.G. and Kenner, V.H., ‘On the hygrothermomechanical characterization of polyvinyl acetate’, J. Appl. Phys. 51(10), 1980, 5131–5136.

    Article  CAS  Google Scholar 

  • Lai, J. and Bakker, A., ‘3-D Schapery representation for non-linear viscoelasticity and finite element implementation’, Comput. Mech. 18, (1996), 182–191.

    Google Scholar 

  • Leaderman, H., Elastic and Creep Properties of Filamentous Materials and Other High Polymers, The Textile Foundation, Washington, DC, 1943.

    Google Scholar 

  • Losi, G.U. and Knauss, W.G., ‘Free volume theory and nonlinear thermoviscoelasticity’, Polym. Eng. Sci. 32, 1992, 542–557.

    Article  CAS  Google Scholar 

  • Lou, Y.C. and Schapery, R.A., ‘Viscoelastic characterization of a nonlinear fiber-reinforced plastic’, J. Comp. Mat. 5, 1971, 208–234.

    CAS  Google Scholar 

  • Ma, Z. and Ravi-Chandar, K., ‘Confined compression: A stable homogeneous deformation for constitutive characterization’, Experiment. Mech. 40, 2000, 38–45.

    CAS  Google Scholar 

  • Markmutov, I.M., Sorina, T.G., Suvorova, Y.V. and Surgucheva, A.I., ‘Failure of composites taking into account the effects of temperature and moisture’, Mech. Composite Mater. 19, 1983, 175–180.

    Article  Google Scholar 

  • Matsuoka, S. and Maxwell, B., ‘Response of linear high polymer to hydrostatic pressure’, J. Polym. Sci. 32, 1958, 313–159.

    Article  Google Scholar 

  • McKinney, J.E., Edelman, S. and Marvin, R.S., ‘Apparatus for the direct determination of the dynamic bulk modulus,’ J. Appl. Phys. 27, 1956, 425–430.

    Article  CAS  Google Scholar 

  • Micro-Measurements, Precision Strain Gages (CEA-06-125UW-350), Engineering Data Sheet.

  • Nanni, A., ‘Composite: Coming on strong’, Concrete Construct. 44, 1999, 120–125.

    Google Scholar 

  • Park, S.J. and Liechti, K.M., ‘Rate-dependent large strain behavior of a structural adhesive’, Mech. Time-Dependent Mater. 7, 2003, 143–164.

    Article  CAS  Google Scholar 

  • Popelar, C.F. and Liechti, K.M., ‘Multiaxial nonlinear viscoelastic characterization and modeling of a structural adhesive’, J. Eng. Mater. Technol. Trans. ASME 119, 1997, 205–210.

    CAS  Google Scholar 

  • Popelar, C.F. and Liechti, K.M., ‘A distortion-modified free volume theory for nonlinear viscoelastic behavior’, Mech. Time-Dependent Mater. 7, 2003, 89–141.

    Article  CAS  Google Scholar 

  • Peretz, D. and Weitsman, Y. ‘Nonlinear viscoelastic characterization of FM-73 adhesive’, J. Rheol. 26(3), 1982, 245–261.

    Article  Google Scholar 

  • Ravi-Chandar, K. and Ma, Z.,’,Inelastic deformation in polymers under multiaxial compression’, Mech. Time-Dependent Mater. 4, 2000, 333–357.

    Article  CAS  Google Scholar 

  • Romanko, J. and Knauss, W.G., ‘On the time dependence of the Poisson’s ratio of a commercial adhesive material’, J. Adhesion 10, 1980, 269–277.

    CAS  Google Scholar 

  • Sane, S.B. and Knauss, W.G., ‘The time-dependent bulk response of poly (methyl methacrylate)’, Mech. Time-Dependent Mater. 5, 2001a, 293–324.

    Article  CAS  Google Scholar 

  • Sane, S.B. and Knauss, W.G., ‘On interconversion of various material functions of PMMA’, Mech. Time-Dependent Mater. 5, 2001b, 325–343.

    Article  CAS  Google Scholar 

  • Schapery, R.A., ‘Application of thermodynamics to thermomechanical, fracture, and birefringent phenomena in viscoelastic media’, J. Appl. Phys. 35, 1964, 1451–1465.

    Article  Google Scholar 

  • Schapery, R.A., ‘An engineering theory of nonlinear viscoelasticity with applications’, Int. J. Solids Struct. 2, 1966, 407–425.

    Article  Google Scholar 

  • Schapery, R.A., Further Development of a Thermodynamic Constitutive Theory: Stress Formulation, AA & ES Report (69–2), 1969a, Purdue University, West Lafayette.

    Google Scholar 

  • Schapery, R.A., ‘On the characterization of nolinear viscoelastic materials’, Polym. Eng. Sci. 9, 1969b, 295–310.

    Article  CAS  Google Scholar 

  • Schapery, R.A., ‘Nonlinear viscoelastic and viscoplastic constitutive equations based on thermodynamics’, Mech. Time-Dependent Mater. 1, 1997, 209–240.

    Article  Google Scholar 

  • Shen, C.-H. and Springer, G.S., ‘Moisture absorption and desorption of composite materials’, J. Composite Mater. 10, 1976, 2–20.

    Google Scholar 

  • Talybly, L.K., ‘Nonlinear theory of thermal stresses in viscoelastic bodies’, Mech. Composite Mater. 19, 1983, 419–425.

    Article  Google Scholar 

  • Tschoegl, N.W., Knauss, W.G. and Emri, I., ‘Poisson’s ratio in linear viscoelasticity – a critical review’, Mech. Time-Dependent Mater. 6, 2002, 3–51.

    Article  Google Scholar 

  • Viktorova, I.V., ‘Description of the delayed failure in inelastic materials taking temperature into account’, Mech. Composite Mater. 19, 1983, 35–38.

    Article  Google Scholar 

  • Williams, M.L., Landel, R.F. and Ferry, J.D., ‘The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids’, J. Am. Chem. Soc. 77, 1955, 3701–3707.

    Article  CAS  Google Scholar 

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Correspondence to Kenneth M. Liechti.

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Park, S.J., Liechti, K.M. & Roy, S. Simplified Bulk Experiments and Hygrothermal Nonlinear Viscoelasticity. Mech Time-Depend Mater 8, 303–344 (2004). https://doi.org/10.1007/s11043-004-0942-3

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