Abstract
A new static failure criterion for isotropic polymers with different strengths in tension and compression based on exponential dependence between the mean stress and the von Mises equivalent stress is proposed. The two material parameters introduced can be determined by two simple tests - the uniaxial tension and compression. The locus of the criterion is nearly conical for low hydrostatic pressures and tends to a cylindrical form if an increased hydrostatic pressure is applied. The validity of the criterion is demonstrated by experimental strength data taken from the literature for several polymers in the case of superimposed hydrostatic pressure.
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References
R. S. Kody and A. J. Lesser, “Deformation and yield of epoxy networks in constrained states of stress,” J. Mater. Sci., 32, No. 21, 5637-5643 (1997).
A. J. Lesser and R. S. Kody, “A generalised model for the yield behaviour of epoxy networks in multi-axial stress states,” J. Polym. Sci., Pt. B, Polym. Phys., 35, 1611-1619 (1997).
N. R. Karttunen and A. J. Lesser, “Yield behaviour and failure response of an aliphatic polyketone terpolymer subjected to multi-axial stress states,” J. Mater. Sci., 35, 2507-2515 (2000).
S. Rabinowitz, I. M. Ward, and J. S. C. Parry, “The effect of hydrostatic pressure on the shear yield behaviour of polymers,” J. Mater. Sci., 5, 29-39 (1970).
A. S. Wronski and M. Pick, “Pyramidal yield criteria for epoxides,” J. Mater. Sci., 12, 28-34 (1977).
H. L. D. Pugh, E. F. Chandler, L. Holliday, and J. Mann, “The effect of hydrostatic pressure on the tensile properties of plastics,” Polym. Eng. Sci., 11, No. 6, 463-473 (1971).
K. D. Pae and D. R. Mears, “The effect of high pressure on mechanical behaviour and properties of polytetrafluoroethylene and polyethylene,” Polym. Lett., 6, 269-273 (1968).
P. B. Bowden and J. A. Jukes, “The plastic flow of isotropic polymers,” J. Mater. Sci., 7, 52-63 (1972).
W. Whitney and R. D. Andrews, “Yielding of glassy polymer: volume effects,” J. Polym. Sci., Pt. C, 16, 2981-2990 (1967).
O. Ol'khovik, “Apparatus for testing of strength of polymers in a three-dimensional stressed state,” Mech. Compos. Mater., 19, No. 2, 270-275 (1983).
O. Ol'khovik, “Static strength of an epoxy compound under hydrostatic stress state,” Izv. Vuzov. Mashinostroenie, No. 9, 3-7 (1986).
O. Ol'khovik, O. Figovsky, and V. Feigin, “Criterion of static strength for polyester glass-fiber plastic binder in triaxial stress state,” J. Mech. Behav. Mater., 9, No. 4, 291-295 (1998).
O. Ol'khovik, O. Figovsky, and V. Feigin, “Identification of static strength criteria,” J. Mech. Behav. Mater., 6, No. 4, 301-308 (1996).
R. Quinson, J. Perez, M. Rink, and A. Pavan, “Yield criteria for amorphous glassy polymers,” J. Mater. Sci., 32, 1371-1379 (1997).
J. C. Bauwens, “Yield condition and propagation of Lüders' lines in tension-torsion experiments on poly(vinyl Chloride),” J. Polym. Sci., Pt. A-2, 8, 893-901, (1970).
R. A. Bubeck, S. E. Bales, and H. D. Lee, “Changes in yield and deformation of polycarbonates caused by physical aging,” Polym. Eng. Sci., 24, No. 10, 1142-1148 (1984).
S. S. Sternstein and L. Ongchin, “Yield criteria for plastic deformation of glassy high polymers in general stress fields,” ACS Polym. Prepr., 10, 1117-1124 (1969).
R. S. Raghava, R. M. Caddell, and G. Yeh, “The macroscopic yield behavior of polymers,” J. Mater. Sci., 8, 225-232 (1973).
L. W. Zachary and W. F. Riley, “Optical response and yield behavior of a polyester model material,” Experim. Mech., 17, 321-326 (1977).
J. L. F. Freire and R. F. Riley, “Yield behavior of photoplastic materials,” Experim. Mech., 20, 118-125 (1980).
R. S. Raghava, and R. M. Caddell, “A macroscopic yield criterion for crystalline polymers,” Int. J. Mech. Sci., 15, 967-974 (1973).
R. M. Caddell, R. S. Raghava, and A. G. Atkins, “Pressure-dependent yield criteria for polymers,” Mater. Sci. Eng., 13, 113-120 (1974).
P. B. Bowden, “The yield behavior of glassy polymers,” in: The Physics of Glassy Polymers, Ch. 5, Wiley, New York, pp. 279-389.
R. H. Sigley, A. S. Wronski, and T. V. Parry, “Three-parameter yield criterion for a brittle polyester resin,” J. Mater. Sci, 26, 3985-3990 (1991).
B. Paul, “Macroscopic criteria for plastic flow and brittle fracture,” in: H. Liebowitz (ed.), Fracture. Vol. II, Academic Press (1968).
J. C. M. Li and J. B. C. Wu, “Pressure and normal stress effects in shear yielding,” J. Mater. Sci., 11, 445-457 (1976).
D. Sardar, S. V. Radcliffe, and E. Baer, “Effects of high hydrostatic pressure on the mechanical behavior of a crystalline polymer-polyoxymethylene,” Polym. Eng. Sci., 8, No. 4, 290-301 (1968).
W. A. Spitzig and O. Richmond., “Effect of hydrostatic pressure on the deformation behavior of polyethylene and polycarbonate in tension and in compression,” Polym. Eng. Sci., 19, No. 16, 1129-1139 (1979).
D. C. Drucker and W. Prager, “Soil mechanics and plastic analysis of limit design,” Quart. Appl. Math., 10, 157-165 (1952).
G. S. Pisarenko and Lebedev A. A., Deformation and Strength of Materials under Multiaxial Loading [in Russian], Naukova Dumka (1976).
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Altenbach, H., Tushtev, K. A New Static Failure Criterion for Isotropic Polymers. Mechanics of Composite Materials 37, 475–482 (2001). https://doi.org/10.1023/A:1014269314272
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DOI: https://doi.org/10.1023/A:1014269314272