Abstract
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.
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References
Naghdi, P. M., A survey of recent progress in the theory of elastic shells. Appl Mech. Rev., 9 (1956) 365–8.
Bert, C. W., Analysis of shells. In Analysis and Performance of Composites. ed. L. J. Broutman. Wiley, New York, 1980, pp. 207–58.
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.
Datta, S. K. and Ledbetter, H. M, Elastic constants of fiber-rein forced boron-aluminium: observation and theory. Int. J. Solids Struct., 19 (1983) 885–94.
Touratier, M, Mécanismes de reinforcement des composites à matrice métallique. Contrat DRET No. 87/1163 to be published in 1989.
Bhimaraddi, A., A higher-order theory for free vibration analysis of circular cylindrical shells. Int. J. Solids Struct., 20 (1984) 623–30.
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.
Reddy, J. N. and Liu, F. C., A higher-order shear deformation theory of laminated elastic shells. Int. J. Enging Sci., 23 (1985) 319–30.
Cheng, S., Accurate fourth order equation for circular cylindrical shells. J. Engng Mechanics Division (ASCE), (1972) 641–56.
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).
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.
Touratier, M., A refined theory for thick composite plates. Mech. Res. Comm., 15 (1988) 229–36.
Germain, P., Mécanique—Ellipses, Ecole Polytechnique, Paris, 1986.
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.
Bose, S. K. and Mal, A. K., Elastic waves in a fiber-reinforced composite. J. Mech. Phys. Solids, 22 (1974) 217–29.
Pipes, R. B., Vinson, J. R. and Chou, T-W., On the hygrothermal response of laminated composite systems. J. Comp. Mater., 10 (1976) 129–48.
Reddy, J. N., A simple higher-order theory for laminated composite plates. J. Appl. Mech., 51 (1984) 745–52.
Pagano, N. J., Exact solutions for composite laminates in cylindrical bending, J. Comp. Mater., 3 (1969).
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© 1989 Elsevier Science Publishers Ltd
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Pegoraro, P., Touratier, M. (1989). Environmental Effects on the Behaviour of Laminated Shells. In: Marshall, I.H. (eds) Composite Structures 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1125-3_10
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DOI: https://doi.org/10.1007/978-94-009-1125-3_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6998-4
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