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Thermomechanical response of a viscoelastic beam under cyclic bending; self-heating and thermal failure

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The thermomechanical response of beams made up of thermoplastic polymer is analysed in the case of cyclic bending. The material behavior is modelled by a viscoelastic law depending on temperature and frequency. Inertia effects are neglected. The stress, strain and temperature distributions are expressed as functions of the beam geometry, the loading parameters and the material characteristics. The stability of the steady-state solutions is analysed with use of a linear perturbation approach. The conditions for thermal runaway (thermo-mechanical instability) are explored.
Rocznik
Strony
59--85
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
autor
autor
  • Laboratoire de Fiabilite Mecanique, 57045 Metz, France
Bibliografia
  • 1. I. Constable, J.G. WILLIAMS and D.J. BURNS, Fatigue and cyclic thermal softening of thermoplastics, J. Mech. Engng Sci, 12, 20-29, 1970.
  • 2. R.M. CHRISTENSEN, Theory of viscoelasticity, Academic Press, 208-209, 1971.
  • 3. F. DINZART and A. MOLINARI, Cyclic torsion of a polymeric tube: self-heating and thermal failure, J. of Thermal Stresses, 21, 851-879, 1998.
  • 4. J.D. FERRY, Viscoelastic properties of polymers, John Wiley, 1980.
  • 5. R.W. HERTZBERG, Deformation and fracture mechanics of engineering materials, John Wiley, 1976.
  • 6. N.C. HUANG and E.H. LEE, Thermomechanical coupling behavior of viscoelastic rods subjected to cyclic loading, J. of Applied Mechanics, 127-132, 1967.
  • 7. G. MENGES and E. ALF, Creep, self-heating and failure of thermoplastics under pulsating tensile stress, J. of Elastomers and Plastics, 7, 47-64, 1975.
  • 8. S.B. RATNER and V.I. KOBOROV, Self heating of plastics during cyclic deformation, Mekh. Polymerov, 1, 63-67, 1965.
  • 9. M.N. RIDELL, G.P. Koo, J.L. O'TOOLE, Fatigue mechanisms of thermoplastics, Polym. Engng. Sci., 6, 363-370, 1966.
  • 10. A. TAKAHARA, K. YAMADA, T. KAJIYAMA, and M. TAKAYANAGI, Evaluation of fatigue lifetime and elucidation of fatigue in plasticized Polyvinyl chloride in terms of dynamic viscoelasticity, J. Appl. Polym. Sci., 25, 597-614, 1980.
  • 11. A. TAKAHARA, K. YAMADA, T. KAJIYAMA, and M. TAKAYANAGI, Analysis of fatigue behavior of high-density polyethylene based on dynamic viscoelastic measurements during the fatigue process, J. Appl. Polym, Sci., 26, 1085-1104, 1981.
  • 12. A. MOLINARI and Y. GERMAIN, Self-heating and thermal failure of polymers sustaining a compressive cyclic loading, Int. J. Solids, Structures, 33, 23, 3439-3462, 1996.
  • 13. Y.M. LEROY and A. MOLINARI, Stability of steady states in shear zones, J. Mech. Phys. Solids, 40, 659-670, 1992.
  • 14. Y.M. LEROY and A. MOLINARI, Spatial patterns and size effects in shear zone: a hyperbolic model with higher-order gradients, J. Mech. Phys. Solids, 41, 4, 631-663, 1993.
  • 15. G.A. LESIEUTRE and K. GOVINDSWAMY, Finite element modeling of frequency depedendent and temperature dependent dynamic behavior of viscoelastic materials in simple shear, Int. J. Solids, Structures, 33, 3, 419-432, 1996.
  • 16. R.A. SCHAPERY, Effect of cyclic loading on the temperature in viscoelastic media with variable properties, AIAA Journal, 2, 827-835, 1964.
  • 17. R.A. SCHAPERY and D.E. CANTEY, Thermomechanical response studies of solid propellants subjected to cyclic loading and random loading, AIAA Journal, 2, 827-835, 1964.
  • 18. T.R. TAUCHERT, The temperature generated during torsional oscillations of polyethylene rods, Int. J. of Eng. Sciences, 5, 353-365, 1967.
  • 19. E.G. TING, Heat generated in a torsional spring subjected to sinusoidal oscillations, J. of Sound and Vibration, 22, 81-92, 1972.
  • 20. E.G. TING and J.L. TUAN, Effect of infernal pressure on the temperature distribution in a viscoelastic cylinder, Int. J. of Mech. Sciences, 15, 861-871, 1973.
  • 21. A. WINEMAN and R. KOLBERG, Response of beams of non-linear viscoelastic materials exhibiting strain-dependent stress relaxation, Int. J. Non-Linear Mechanics, 32, 5, 863-883, 1997.
  • 22. I.S.GRADSHTEYN and I.M. RYZHIK, Table of integrals series and products, Academic Press, 1965.
  • 23. G.N. WATSON, A treatise on the theory of Bessel functions, Cambridge University Press, 1966.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0012-0024
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