The inelastic deformation behavior of PMR-15 neat resin, a high-temperature thermoset polymer, was investigated at . The experimental program was designed to explore the influence of strain rate on tensile loading, unloading, and strain recovery behaviors. In addition, the effect of the prior strain rate on the relaxation response of the material, as well as on the creep behavior following strain-controlled loading were examined. Positive, nonlinear strain rate sensitivity is observed in monotonic loading. The material exhibits nonlinear, “curved” stress-strain behavior during unloading at all strain rates. The recovery of strain at zero stress is strongly influenced by the prior strain rate. The prior strain rate also has a profound effect on relaxation behavior. Likewise, creep response is significantly influenced by the prior strain rate. The experimental data are modeled with the viscoplasticity theory based on overstress (VBO). The comparison with experimental data demonstrates that the VBO successfully predicts the inelastic deformation behavior of the PMR-15 polymer under various test histories at .
Issue Section:
Materials and Fabrication
Topics:
Creep,
Polymers,
Relaxation (Physics),
Stress,
Modeling,
Mechanical behavior,
Resins,
Deformation
1.
NASA/Glenn Research Center
, 2005, “DMBZ Polyimides Provide an Alternative to PMR-15 for High-Temperature Applications
.”2.
Ellyin
, F.
, and Xia
, Z.
, 2006, “Nonlinear Viscoelastic Constitutive Model for Thermoset Polymers
,” ASME J. Eng. Mater. Technol.
0094-4289, 128
, pp. 579
–585
.3.
Shaw
, S.
, Warby
, M. K.
, and Whiteman
, J. R.
, 1997, An Introduction to the Theory and Numerical Analysis of Viscoelasticity Problems
, Brunel University
, England
.4.
Schapery
, R. A.
, 2000, “Nonlinear Viscoelastic Solids
,” Int. J. Solids Struct.
0020-7683, 37
, pp. 359
–366
.5.
Losi
, G. U.
, and Knauss
, W. G.
, 1992, “Free Volume Theory and Nonlinear Thermoviscoelasticity
,” Polym. Eng. Sci.
0032-3888, 32
(8
), pp. 542
–557
.6.
Knauss
, W. G.
, and Emri
, I.
, 1987, “Volume Change and the Nonlinearly Thermo-Viscoelastic Constitution of Polymers
,” Polym. Eng. Sci.
0032-3888, 27
(1
), pp. 86
–100
.7.
Shay
, R. M.
, and Caruthers
, J. M.
, 1990, “A Predictive Model for the Effects of Thermal History on the Mechanical Behavior of Amorphous Polymers
,” Polym. Eng. Sci.
0032-3888, 30
(20
), pp. 1266
–1280
.8.
Schapery
, R. A.
, 1969, “On the Characterization of Non-Linear Viscoelastic Materials
,” Polym. Eng. Sci.
0032-3888, 9
(4
), pp. 295
–310
.9.
O’Connell
, A.
, and McKenna
, G. B.
, 2002, “The Non-Linear Viscoelastic Response of Polycarbonate in Torsion: An Investigation of Time-Temperature and Time-Strain Superposition
,” Mech. Time-Depend. Mater.
1385-2000, 6
(3
), pp. 207
–229
.10.
Williams
, M. L.
, Landel
, R. F.
, and Ferry
, J. D.
, 1955, “The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids
,” J. Am. Chem. Soc.
0002-7863, 77
, pp. 3701
–3707
.11.
Xia
, Z.
, Shen
, X.
, and Ellyin
, F.
, 2005, “An Assessment of Nonlinearly Viscoelastic Constitutive Models for Cyclic Loading: The Effect of a General Loading/Unloading Rule
,” Mech. Time-Depend. Mater.
1385-2000, 9
(4
), pp. 79
–98
.12.
Popelar
, C. F.
, and Liechti
, K. M.
, 2003, “A Distortion-Modified Free Volume Theory for Nonlinear Viscoelastic Behavior
,” Mech. Time-Depend. Mater.
1385-2000, 7
, pp. 89
–141
.13.
Lustig
, S. R.
, Shay
, R. M.
, and Caruthers
, J. M.
, 1996, “Thermodynamic Constitutive Equation for Materials With Memory on a Material Time Scale
,” J. Rheol.
0148-6055, 40
, pp. 69
–106
.14.
Krempl
, E.
, and Khan
, F.
, 2003, “Rate (Time)-Dependent Deformation Behavior: An Overview of Some Properties of Metals and Solid Polymers
,” Int. J. Plast.
0749-6419, 19
, pp. 1069
–1095
.15.
Krempl
, E.
, McMahon
, J.
, and Yao
, D.
, 1986, “Viscoplasticity Based on Overstress With a Differential Growth Law for the Equilibrium Stress
,” Mech. Mater.
0167-6636, 5
, pp. 35
–48
.16.
Krempl
, E.
, 1996, “A Small Strain Viscoplasticity Theory Based on Overstress
,” Unified Constitutive Laws of Plastic Deformation
, A.
Krausz
and K.
Krausz
, eds., Academic
, San Diego
, pp. 281
–318
.17.
Krempl
, E.
, and Ho
, K.
, 2001, “Inelastic Compressible and Incompressible, Isotropic Small Strain Viscoplasticity Theory Based on Overstress (VBO)
,” Handbook of Materials Behavior Models
, J.
Lemaitre
, ed., Academic
, San Diego
, pp. 336
–348
.18.
Krempl
, E.
, 1995, “From the Standard Linear Solid to the Viscoplasticity Theory Based on Overstress
,” Computational Mechanics ‘95 Theory and Applications
, S.
Atluri
, G.
Yagawa
, and T.
Cruse
, eds., Springer
, New York
, pp. 1679
–1684
.19.
Kitagawa
, M.
, and Matsutani
, T.
, 1988, “Effect of Time and Temperature on Nonlinear Constitutive Equation in Polypropylene
,” J. Mater. Sci.
0022-2461, 23
(11
), pp. 4085
–4090
.20.
Kitagawa
, M.
, Zhou
, D.
, and Qiu
, J.
, 1995, “Stress-Strain Curves for Solid Polymers
,” Polym. Eng. Sci.
0032-3888, 35
(22
), pp. 1725
–1732
.21.
Bordonaro
, C. M.
, and Krempl
, E.
, 1992, “Effects of Strain Rate on the Deformation and Relaxation Behavior of 6/6 Nylon at Room Temperature
,” Polym. Eng. Sci.
0032-3888, 32
(16
), pp. 1066
–1072
.22.
Krempl
, E.
, and Ho
, K.
, 2000, “An Overstress Model for Solid Polymer Deformation Behavior Applied to Nylon 66
,” Time Dependent and Nonlinear Effects in Polymers and Composites, ASTM STP 1357
, R.
Schapery
and C.
Sun
, eds., American Society for Testing and Materials
, Philadelphia
, pp. 118
–137
.23.
Khan
, F. J.
, and Krempl
, E.
, 2004, “Pre-Necking and Post-Necking Relaxation and Creep Behavior of Polycarbonate: A Phenomenological Study
,” Polym. Eng. Sci.
0032-3888, 44
(9
), pp. 1783
–1791
.24.
Khan
, F. J.
, and Krempl
, E.
, 2006, “Amorphous and Semicrystalline Solid Polymers: Experimental and Modeling Studies of Their Inelastic Deformation Behaviors
,” ASME J. Eng. Mater. Technol.
0094-4289, 128
, pp. 64
–72
.25.
Khan
, F.
, 2006, “Loading History Effects on the Creep and Relaxation Behavior of Thermoplastics
,” ASME J. Eng. Mater. Technol.
0094-4289, 128
, pp. 564
–571
.26.
Khan
, F. J.
, 2003, “The Deformation Behavior of Solid Polymers and Modeling With the Viscoplasticity Theory Based on Overstress
,” Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, NY.27.
Colak
, O. U.
, 2005, “Modeling Deformation Behavior of Polymers With Viscoplasticity Theory Based on Overstress
,” Int. J. Plast.
0749-6419, 21
, pp. 145
–160
.28.
Colak
, O. U.
, and Dusunceli
, N.
, 2006, “Modeling Viscoelastic and Viscoplastic Behavior of High Density Polyethylene (HDPE)
,” ASME J. Eng. Mater. Technol.
0094-4289, 128
, pp. 572
–578
.29.
Bowles
, K. J.
, Papadopoulos
, D. S.
, Ingrahm
, L. L.
, McCorkle
, L. S.
, and Klan
, O. V.
, 2001, “Longtime Durability of PMR-15 Matrix Polymer at 204, 260, 288, and 316°C
,” NASA/Glenn Research Center Technical Paper No. TM-2001-210602.30.
Odegard
, G.
, and Kumosa
, M.
, 2000, “Elastic-Plastic and Failure Properties of a Unidirectional Carbon/PMR-15 Composite at Room and Elevated Temperatures
,” Compos. Sci. Technol.
0266-3538, 60
, pp. 2979
–2988
.31.
Ruggles-Wrenn
, M. B.
, and Broeckert
, J.
, 2008, “Effects of Prior Aging at 288°C in Air and in Argon Environments on Creep Response of PMR-15 Neat Resin
,” J. Appl. Polym. Sci.
0021-8995, 107
, pp. 1378
–1386
.32.
Marais
, C.
, and Villoutreix
, G.
, 1998, “Analysis and Modeling of the Creep Behavior of the Thermostable PMR-15 Polyimide
,” J. Appl. Polym. Sci.
0021-8995, 69
, pp. 1983
–1991
.33.
Bowles
, K. J.
, Layne
, D.
, and Leonhardt
, T. A.
, 1992, “Isothermal Aging Effects on PMR-15 Resin
,” NASA/Glenn Research Center Technical Paper No. 105648.34.
Tsuji
, L. C.
, McManus
, H. L.
, and Bowles
, K. J.
, 1998, “Mechanical Properties of Degraded PMR-15 Resin
,” NASA/Glenn Research Center Technical Paper No. TM-1998-208487.35.
Bowles
, K. J.
, Tsuji
, L. C.
, Kamvouris
, J. E.
, and Roberts
, G. D.
, 2003, “Long-Term Isothermal Aging Effects on Weight Loss, Compression Properties, and Dimensions of T650–35 Fabric-Reinforced PMR-15 Composites—Data
,” NASA/Glenn Research Center Technical Paper No. TM-2003-211870.36.
Schoeppner
, G. A.
, Tandon
, G. P.
, and Ripberger
, E. R.
, 2007, “Anisotropic Oxidation and Weight Loss in PMR-15 Composites
,” Composites, Part A
1359-835X, 38
, pp. 890
–904
.37.
McClung
, A.
, and Ruggles-Wrenn
, M. B.
, 2008, “The Rate (Time)-Dependent Mechanical Behavior of the PMR-15 Thermoset Polymer at Elevated Temperature
,” Polym. Test.
0142-9418, 27
, pp. 908
–914
.38.
Falcone
, C. M.
, and Ruggles-Wrenn
, M. B.
, 2009, “Rate Dependence and Short-Term Creep Behavior of a Thermoset Polymer at Elevated Temperature
,” ASME J. Pressure Vessel Technol.
0094-9930, 131
(1
), p. 011403
.39.
McClung
, A.
, and Ruggles-Wrenn
, M. B.
, 2009, “Strain Rate Dependence and Short-Term Relaxation Behavior of a Thermoset Polymer at Elevated Temperature: Experiment and Modeling
, ASME J. Pressure Vessel Technol.
0094-9930, 131
, p. 031405
.40.
Ruggles
, M.
, Cheng
, S.
, and Krempl
, E.
, 1994, “The Rate-Dependent Mechanical Behavior of Modified 9 wt. % Cr-1 wt. % Mo Steel at 538°C
,” Mater. Sci. Eng., A
0921-5093, 186
(1–2
), pp. 15
–21
.41.
Ruggles
, M.
, and Krempl
, E.
, 1991, “Rate-Sensitivity and Short Term Relaxation Behavior of AISI Type 304 Stainless Steel at Room Temperature and at 650°C; Influence of Prior Aging
,” ASME J. Pressure Vessel Technol.
0094-9930, 113
(3
), pp. 385
–391
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