Sage Journals: Discover world-class research

Abstract

The thermal viscoelastic behavior of thick-walled composite cylinders has been investigated. The analysis accounts for ply-by-ply variations of material properties, fiber orientations, and temperature changes. The Correspondence Principle is employed to convert the thermoviscoelastic problem to its corresponding thermoelasticity problem in Laplace transform space. A closed-form formulation is then developed for each layer, assuming a state of generalized plane strain, to solve for a general solution of the corresponding thermoelastic problem. A numerical method with implementation of parallel computing techniques was used to resolve the complex and large numerical system resulting from thick multi-ply cylinders. Finally, direct Laplace transform inversion is used to yield the quasi-static thermoviscoelastic solution.

Get full access to this article

View all access options for this article.

References

1. Biot, M. A. 1958. "Linear Thermodynamics and the Mechanics of Solids," Proceedings, 3rd US. National Congress Applied Mechanics, New York, NY: ASME, pp. 1-18.

2. Christensen, R. M. 1982. Theory of Viscoelasticity, An Introduction, 2nd edition, New York: Academic Press, Inc.

3. Cirino, M. 1989. "Axisymmetric and Cylindrically Orthotropic Analysis of Filament Winding," CCM Report 89-17, University of Delaware: Center for Composite Materials.

4. Halpin, J. C. 196& "Introduction to Viscoelasticity," Composite Materials Workshop, St. Louis, MO, July 13-21, 1967, Technomic Publishing Co., Inc., pp. 87-152.

5. Hashin, Z. 1965. "Viscoelastic Behavior of Heterogeneous Media," Journal of Applied Mechanics, 32:630-636.

6. Hyer, M. W. and C. Q. Rousseau . 1987. "Thermally Induced Stresses and Deformations in Angle-Ply Composite Tubes," Journal of Composite Materials, 21:454-480.

7. Kim, R. Y. and J. T. Hartness . 198. "Time-Dependent Response of AS-4/PEEK Composite," Proceedings of the 19th International SAMPE Technical Conference, October, pp. 468-475.

8. Muki, R. and E. Sternberg . 1961. "On Transient Thermal Stresses in Viscoelastic Materials with Temperature Dependent Properties," Journal of Applied Mechanics, pp. 193-207.

9. Padovan, J. 1976. "Thermoelasticity of Cylindrically Anisotropic Generally Laminated Cylinders," Journal of Applied Mechanics, pp. 124-130.

10.

10. Pindera, M. J. 1991. "Local/Global Stiffness Matrix Formulation for Composite Materials and Structures," Journal of Composite Engineering, 1(2):69-83.

11.

11. Rogers, T. G. and E. H. Lee . 1964. "The Cylinder Problem in Viscoelastic Stress Analysis," Quarterly of Applied Mathematics, 22:117-131.

12.

12. Schapery, R. A. 1964. "Application of Thermodynamics to Thermomechanical, Fracture, and Birefringent Phenomena in Viscoelastic Media," Journal of Applied Physics, 35(5):1451-1465.

13.

13. Schapery, R. A. 1967. "Stress Analysis of Viscoelastic Composite Materials," Journal of Composite Materials, 1:228-267.

14.

14. Tzeng, J. T. and L. S. Chien . 1994. "A Thermal/Mechanical Model of Axially Loaded Thick-Walled Composite Cylinders," Journal of Composites Engineering, 4(2):219-232.

15.

15. Williams, M. L. 1964. "Structural Analysis of Viscoelastic Materials," AIAA Journal, 2(5):785-808.

A Thermal Viscoelastic Analysis for Thick-Walled Composite Cylinders

Abstract

Get full access to this article

References