Environmental Effects on the Behaviour of Laminated Shells
A higher-order shear deformation theory of elastic shells is developed for laminated shells, taking into account environmental effects on the behaviour of the shell such as the following: moisture, temperature, prestress and obviously normal charge at the shell surface. The shell model is based on a displacement field in which the displacements of the middle surface are expanded as cubic functions of the thickness coordinate, and the transverse displacement is assumed to be constant through the thickness. So, the distribution of shear deformation is parabolic and there is no need to use shear correction factors. Some numerical results are presented.
KeywordsShear Deformation Theory Middle Surface Elastic Shell Circular Cylindrical Shell Shear Correction Factor
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- 1.Naghdi, P. M., A survey of recent progress in the theory of elastic shells. Appl Mech. Rev., 9 (1956) 365–8.Google Scholar
- 2.Bert, C. W., Analysis of shells. In Analysis and Performance of Composites. ed. L. J. Broutman. Wiley, New York, 1980, pp. 207–58.Google Scholar
- 3.Koiter, W. T., A consistent first approximation in the general theory of thin elastic shells. Proceedings of the Symposium on the Theory of Thin Elastic Shells. Delft, Aug. 1959, pp. 24–8.Google Scholar
- 5.Touratier, M, Mécanismes de reinforcement des composites à matrice métallique. Contrat DRET No. 87/1163 to be published in 1989.Google Scholar
- 7.Soldatos, K. P., Stability and vibration of thickness shear deformable cross-ply laminated non-circular cylindrical shells. Proceedings of the 1986 Pressure Vessels and Piping Conference and Exhibition, Chicago, July 1986, pp. 23–34.Google Scholar
- 9.Cheng, S., Accurate fourth order equation for circular cylindrical shells. J. Engng Mechanics Division (ASCE), (1972) 641–56.Google Scholar
- 10.Widera, G. E. O. and Logan, D. L., Refined theories for nonhomogeneous anisotropic cylindrical shells. J. Engng Mechanics Division (ASCE), (1980) 1053–74 and 1075–90 (part I and part II).Google Scholar
- 11.Reissner, E., On a certain mixed variational theorem and on laminated elastic shell theory. Lecture Notes in Engineering 28, Springer-Verlag, Berlin, 1987, pp. 21–7.Google Scholar
- 13.Germain, P., Mécanique—Ellipses, Ecole Polytechnique, Paris, 1986.Google Scholar
- 14.Whitney, J. M. and Riley, M. B., Elastic stress-strain properties of fiber-reinforced composite materials. Air Force Materials Laboratory Report AFML-TR-65–238, Dec. 1965.Google Scholar
- 18.Pagano, N. J., Exact solutions for composite laminates in cylindrical bending, J. Comp. Mater., 3 (1969).Google Scholar