Thermal stress analysis of thermoviscoelastic hollow cylinder with temperature-dependent thermal properties

Journal of Thermal Stresses

Volumn 28, Issue 1, 2005, Pages 29-46

  Araki, Wakako ^a   Adachi, Tadaharu ^a   Yamaji, Akihiko ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Epoxy resin; Finite difference method; Temperature dependent thermal property; Thermoviscoelasticity

Indexed keywords

CYLINDERS (SHAPES); EPOXY RESINS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; THERMAL DIFFUSION; THERMODYNAMIC PROPERTIES; VISCOELASTICITY;

CYLINDER SYMMETRY; TEMPERATURE-DEPENDENT THERMAL PROPERTY; THERMOVISCOELASTICITY; TRANSIENT TEMPERATURE;

THERMAL STRESS;

EID: 13844267466     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730490498593     Document Type: Article

References (22)

1. H. Leaderman, Elastic and Creep Properties of Filamentous Materials and Other High Polymers, p. 175, Textile Foundation, Washington, DC, 1943.
2. T. G. Rogers and E. H. Lee, The Cylinder Problem in Viscoelastic Stress Analysis, Q. Appl. Math., vol. 22, pp. 117-120, 1964.
3. E. C. Ting, Stress Analysis for Linear Viscoelastic Cylinder, AIAA J., vol. 8, no. 1, pp. 18-22, 1969.
4. L. W. Morland and E. H. Lee, Stress Analysis for Linear Viscoelastic Materials with Temperature Variation, Trans. Soc. Rheol., vol. 4, pp. 233-263, 1960.
5. R. Muki and E. Sternberg, On Transient Thermal Stresses in Viscoelastic Materials with Temperature-dependent Properties, J. Appl. Mech., vol. 28, no. 2, pp. 193-207, 1961.
6. K. C. Valanis and G. Lianis, A Method of Analysis of Transient Thermal Stresses in Thermorheologically Simple Viscoelastic Solids, J. Appl. Mech., vol. 31, no. 1, pp. 47-53, 1964.
7. F. J. Lockett and L. W. Morland, Thermal Stresses in a Viscoelastic Thin-Walled Tube with Temperature Dependent Properties, Int. J. Eng. Sci., vol. 5, pp. 879-898, 1967.
8. R. L. Taylor, K. S. Pister, and G. L. Goudreau, Thermomechanical Analysis of Viscoelastic Solids, Int. J. Numer. Method Eng., vol. 2, pp. 45-59, 1970.
9. R. L. Frutiger and T. C. Woo, A Thermoviscoelastic Analysis for Circular Plates of Thermorheologically Simple Material, J. Thermal Stresses, vol. 2, no. 1, pp. 45-60, 1979.
10. L. S. Chien and J. T. Tzeng, A Thermal Viscoelastic Analysis for Thick-Walled Composite Cylinders, J. Comp. Mat., vol. 29, no. 4, 1995.
11. S. S. Lee, Boundary Element Analysis of a Viscoelastic Thin-Walled Cylinder Subjected to Thermal Transient, Int. J. Ves. Piping, vol. 63, pp. 195-198, 1995.
12. Y. Miyano and M. Shimbo, Residual Stress Analysis of an Epoxy Thick-Walled Cylinder Subjected to Rapid Cooling, Proc. 1986 SEM Spring Conference on Experimental Mechanics, pp. 195-200.
13. A. D. Drozdov, Thermoviscoelasticity, in Mechanics of Viscoelastic Solids, pp. 382-400, John Wiley and Sons, West Sussex, UK, 1998.
14. N. Noda, Thermal Stresses in Materials with Temperature-Dependent Properties, Appl. Mech. Rev., vol. 44, no. 9, pp. 383-397, 1991.
15. N. R. Eyres, D. R. Hartree, J. Ingham, R. Jackson, R. J. Sarjant, and J. B. Wagstaff, The Calculation of Variable Heat Flow in Solids, Phil. Trans. Roy. Soc. A, vol. 240, no. 813, pp. 1-58, 1946.
16. H. S. Carslaw and J. C. Jaeger, General Theory, in Conduction of Heat in Solids, pp. 1-49, Oxford University Press, Oxford, 1959.
17. N. A. Badran and M. B. Abd-El-Malek, Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-infinite Body, Nonlinear Math. Phys., vol. 2, no. 3-4, pp. 319-328, 1995.
18. S. Jahanian, Numerical Representation of Jiang's Constitutive Equations for a Material with Temperature-Dependent Properties, Eng. Struct., vol. 19, no. 2, pp. 173-178, 1997.
19. K. J. Dowding and B. F. Blackwell, Sensitivity Analysis for Nonlinear Heat Conduction, J. Heat Transf., vol. 123, pp. 1-10, 2001.
20. I. M. Ward, Linear Viscoelastic Behaivior, in Mechanical Properties of Solid Polymers, pp. 79-107, John Wiley and Sons, Wiltshire, U.K. 1971.
21. W. Araki, T. Adachi, M. Gamou, and A. Yamaji, Time-Temperature Dependence of Fracture Toughness for Bisphenol A Epoxy Resin, Proc. Inst. Mech. Eng. L - J. Mater., vol. 216, pp. 79-84, 2002.
22. O. Krischer and H. Esdorn, Einfaches Kurzzeitverfahren zur gleichzeitigen Bestimmung der Wärmeleitzahl, der Wärmekapazität und der Wärmeeindringzahl fester Stoffe, vol. 450, pp. 28-39, VDI-Forschungs-Heft, 1995.