Abstract
A viscoelastic and geometrically nonlinear finite element analysis is performed to investigate the stress relaxation and deflection of a laminated cylindrical shell under thermal loading. Incremental viscoelastic constitutive equations are derived to predict the stress relaxation. The finite element program is developed using a 3-D degenerated shell element, the first order shear deformation theory and the updated Lagrangian formulation. The viscoelastic and geometrically nonlinear analysis is executed for laminated shells with cross-ply and angle-ply stacking sequences, and its results are compared with those obtained from geometrically linear and viscoelastic analyses. The numerical results show that viscoelasticity and geometrical nonlinearity affect on the deflections and stresses of laminated cylindrical shells.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bathe, K. J., 1982,Finite Element Procedures in Engineering Analysis, Prentice Hall.
Chao, W. C. and Reddy, J. N., 1984, “Analysis of Laminated Composite Shells Using a Degenerated 3-D Element,”International Journal for Numerical Methods in Engineering, Vol. 20, pp. 1992–2007.
Crisfield, M. A., 1981, “A Fast Incremental/Iterative Solution Procedure that handles Snap-Through,” Computers and Structures, Vol. 13, pp. 55–62.
Flaggs, D. L. and Crossman, F. W., 1981, “Analysis of the Viscoelastic Response of Composite Laminates During Hygrothermal Exposure,”Journal of Composite Materials, Vol. 15, pp. 21–40.
Henriksen, M., 1984, “Nonlinear Viscoelastic Stress Analysis— A Finite Element Approach,”Computers & Structures, Vol. 18, pp. 133–139.
Kennedy, T. C. and Wang, M., 1994, “Three-Dimensional Nonlinear Viscoelastic Analysis of Laminated Composites,”Journal of Composite Materials, Vol. 28, pp. 121–132.
Kim, Y. K., 1996, “Process-Induced Viscoelastic Residual Stress Analysis of Graphite-Epoxy Composite Structures,”Ph. D. Dissetation, Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign
Lin, K. Y. and Hwang, I. H., 1989, “Thermo-Viscoelastic Analysis of Composite Materials,”Journal of Composite Materials, Vol. 23, pp. 554–569.
Lin, K. Y. and Yi, S., 1991, “Analysis of Interlaminar Stresses in Viscoelastic Composites,”International Journal of Solids and Structures, Vol. 27, pp. 929–945.
Panda, S. C. and Natarajan, R., 1981, “Analysis of Laminated Composite Shell Structures by Finite Element Method,”Computers & Structures, Vol. 14, pp. 225–230.
Roy, S. and Reddy, J. N., 1988, “Finite Element Models of Viscoelasticity and Diffusion in Adhesively Bonded Joints,”International Journal for Numerical Methods in Engineering, Vol. 26, pp. 2531–2546.
Schapery, R. A., 1967, “Stress Analysis of Viscoelastic Composite Materials,”Journal of Composite Materials, Vol. 1, pp. 228–267.
Tuttle, M. E. and Brinson, H. F., 1986, “Prediction of the Long-Term Creep Compliance of General Composite Laminates,”Experimental Mechanics, Vol. 26, pp. 89–102.
White, S. R. and Hahn, H. T., 1992, “Process Modelling of Composite Materials: Residual Stress Development during Cure. Part I. Model Formulation,”Journal of Composite Materials, Vol. 26. pp. 2402–2422.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lee, SY., Park, J. Viscoelastic and geometrically nonlinear behavior of laminated cylindrical shells. KSME International Journal 13, 931–939 (1999). https://doi.org/10.1007/BF03184760
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03184760