Nonlinearly viscoelastic behavior of polycarbonate. II. The role of volumetric strain

Mechanics Time-Dependent Materials

Volumn 6, Issue 4, 2002, Pages 301-322

  Knauss, W G ^a   Zhu, W ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Dilatation dependent shear creep; Glassy polymers; Nonlinear creep; Nonlinear viscoelasticity; Volume; Yield like behavior of polymers

Indexed keywords

COMPRESSIVE STRESS; CREEP; DEFORMATION; SHEAR STRESS; STRAIN; STRESS CONCENTRATION; TENSILE STRESS; VISCOELASTICITY;

CREEP RESPONSE; DILATIONAL DEPENDENT SHEAR CREEP; GLASSY POLYMERS; NONLINEAR VISCOELASTICITY; VOLUMETRIC STRAIN;

POLYCARBONATES;

EID: 0036922089     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021296110580     Document Type: Article

References (29)

1. Adams, G. and Gibbs, J.H., 'On the temperature dependence of cooperative relaxation properties in glass-forming liquids', J. Chem. Phys. 43, 1965, 139-144.
2. Arcan, M., Hashin, Z. and Voloshin, A., 'A method to produce uniform plane-stress states with applications to fiber-reinforced materials', Exp. Mech. 18, 1978, 141-146.
3. Arcan, M., 'Discussion of the Iosipescu shear test as applied to composite materials', Exp. Mech. 24(1), 1984, 66-67.
4. Bland, D. R., The Theory of Linear Viscoelasticity, Pergamon Press, New York, 1960.
5. Christensen, R.M., Theory of Viscoelasticity: An Introduction, Academic Press, New York, 1971.
6. Duran, R.S. and McKenna, G.B., A torsional dilatometer for volume change measurements on deformed glasses: Instrument description and measurements on equilibrated glasses', J. Rheol. 34, 1990, 813-839.
7. Flügge, W., Viscoelasticity, Springer-Verlag, New York, 1975.
8. Goldenberg, N., Arcan, M. and Nicolau, E., 'On the most suitable specimen shape for testing shear strength of plastics', ASTM STP 247, 1958, 115-121.
9. Goldstein, M., 'Some thermodynamic aspects of the glass transition: Free volume, entropy and enthalpy theories', J. Chem. Phys. 39, 1963, 3369-3374.
10. Gonzalez, J. and Knauss, W.G., 'Strain inhomogeneity and discontinuous crack growth in a particulate composite', J. Mech. Phys. Solids 46, 1998, 1981-1995.
11. Gross, B., Mathematical Structure of the Theories of Viscoelasticity, Hermann, Paris, 1968.
12. Hung, S.C. and Liechti, K.M., 'An evaluation of the Arcan specimen for determining the shear moduli of fiber reinforced composites', Exp. Mech. 37, 1997, 460-468.
13. Hung, S.C. and Liechti, K.M., Finite element analysis of the Arcan specimen for fiber Reinforced composites under pure shear and biaxial loading', J. Comp. Mater. 33, 1999, 1288-1317.
14. Knauss, W.G. and Emri, I., 'Non-linear viscoelasticity based on free volume consideration', Comput. & Structures, 13, 1981, 123-128.
15. Knauss, W.G. and Emri, I., 'Volume change and the nonlinearly thermo-viscoelastic constitution of polymers', Polym. Engrg. Sci. 27, 1987, 86-100.
16. Knauss, W.G. and Zhu, W., 'Nonlinearly viscoelastic behavior of polycarbonate I. Response under pure shear', Mech. Time-Dependent. Mater. 6, 2002, 231-269.
17. Liang, Y.M. and Liechti, K., 'On the large deformation and localization behavior of an epoxy resin under multiaxial stress states', Internat. J. Solids Struct. 33, 1996, 1476-1500.
18. Lu, H. and Knauss, W.G., 'The role of dilatation in the nonlinearly viscoelastic behavior of PMMA under multiaxial stress states', Mech. Time-Dependent. Mater. 2(4), 1999, 307-334.
19. Lustig, S.R., Shay, R.M. and Caruthers, J.M., 'Thermodynamic constitutive equations for materials with memory on a material time scale', J. Rheol. 40, 1996, 69-106.
20. Poynting, J.H., 'On the change in the dimensions of a steel wire when twisted and on the pressure of distorsional waves in steel', Proc. Roy. Soc. London Ser. A. Phys. Sci. 86, 1912, 534-561.
21. Robertson, R.E. and Patel, A.M., 'The elastic, anelastic and plastic components of strain in the load-extension curve for bisphenol-A polycarbonate', Polym. Engrg. Sci. 12, 1972, 346-352.
22. Sane, S. and Knauss, W.G., 'The time-dependent bulk response of poly (methyl methacrylate)', Mech. Time-Dependent Mater. 5, 2001, 293-324.
23. Schapery, R.A., 'Nonlinear viscoelastic and viscoplastic constitutive equations based on thermodynamics', Mech. Time-Dependent Mater. 1, 1997, 209-240.
24. Schapery, R.A., 'An engineering theory of nonlinear viscoelasticity with applications', Internat. J. Solids Struct. 2, 1969, 407-425
25. Schapery, R.A., A theory of nonlinear thermoviscoelasticity based on irreversible thermodynamics', in Proceedings 5th U.S. National Congress of Applied Mechanics, ASME, New York, 1966, 511-530.
26. Schapery, R.A., 'Approximate methods of transform inversion for viscoelastic stress analysis', in Proceedings 4th U.S. National Congress of Applied Mechanics, ASME, New York, 1962. 1075-1085.
27. Sutton, M.A., Wolters, W.J., Peters, W.H., Ranson, W.F. and McNeil, S.R., 'Determination of displacements using an improved digital image correlation method', Image Vis. Comput. 1, 1983, 133-139.
28. Vendroux G. and Knauss W.G., 'Submicron deformation field measurements: Part 2. Improved digital image correlation', Exp. Mech. 38, 1998, 86-92.
29. Wineman, A.S. and Waldron, W.K., Jr., 'Yieldlike response of a compressible nonlinear viscoelastic solid', J. Rheol. 39, 1995, 401-423.