Abstract
Many composite material structures not only involve anisotropy, multilayer considerations and transverse shear deformation, but also have hygrothermal effects, which can be very important. True, for preliminary design one needs the simplified, easier to use analyses that have been presented earlier, but for the final design, transverse shear deformation and hygrothermal effects must be included. These thermal and moisture effects have been described in Chapter 2. Analytically they cause considerable difficulty, because with their inclusion few boundary conditions are homogeneous, hence separation of variables, used throughout the plate and shell solutions to this point, cannot be utilized straightforwardly. Only through the laborious process of transformation of variables can the procedure used herein be used [1]. Therefore, energy principles are much more convenient for use in design and analyses of plate and shell structures when hygrothermal effects are present.
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References
Vinson, J.R. “Structural Mechanics: The Behavior of Plates and Shells”. J. Wiley and Sons, New York, 1974.
Vinson, J.R. and T.W. Chou, “Composite Materials and Their Use in Structures” Applied Science Publishers, London, 1975.
Sloan, J.G., “The Behavior of Rectangular Composite Material Plates Under Lateral and Hygrothermal Loads”, MMAE Thesis, University of Delaware, 1979.
Pipes, R.B., J.R. Vinson and T.W. Chou, “On the Hygrothermal Response of Laminated Composite Systems”, Journal of Composite Materials, April 1976, pp. 130–148.
Wu, C.I. and J.R. Vinson, “Nonlinear Oscillations of Laminated Specially Orthotropic Plates with Clamped and Simply Supported Edges”, Journal of the Acoustical Society of America, 49, Part 2. May 1971. pp. 1561–1567.
Flaggs, D.L.. “Elastic Stability of Generally Laminated Composite Plates Including Hygrothermal Effects”. MMAE Thesis. University of Delaware. 1978.
Smith. A.P. “The Effect of Transverse Shear Deformation on the Elastic Stability of Orthotropic Plates Due to In-plane Loads”. MMAE Thesis, University of Delaware. 1973.
Linsenmann. D.R. “Stability of Plates of Composite Materials”. MMAE Thesis. University of Delaware. 1974.
Warburton, G., “The Vibration of Rectangular Plates”, Proceedings of the Institution of Mechanical Engineers. 168. 371 (1954).
Young, D. and R. Felgar. Jr., “Tables of Characteristic Functions Representing Normal Modes of Vibration of a Beam”. University of Texas Publication No. 4913. July 1944.
Felgar, R., Jr.. “Formulas for Integrals Containing Characteristic Functions of a Vibrating Beam”. Bureau of Engineering Research. University of Texas. 1950.
Sloan, J.G. and J.R. Vinson, “The Behavior of Rectangular Composite Material Plates Under Lateral and Hygrothermal Loads”, ASME Paper 78 WA/Aero 5.
Shen, C. and G.S. Springer, “Moisture Absorption and Desorption of Composite Materials”, Journal of Composite Materials, Vol. 10, January 1976, p. 2–20.
Wilson, D.W. and J.R. Vinson. “Viscoelastic Analysis of Laminated Plate Buckling Including Transverse Shear and Normal Deformations. AIAA Journal. Vol. 22, July 1984, pp. 982–988.
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© 1987 Kluwer Academic Publishers, Dordrecht
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Vinson, J.R., Sierakowski, R.L. (1987). Energy Methods in Composite Material Structures. In: The behavior of structures composed of composite materials. Mechanics of Structural Systems, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5187-7_6
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DOI: https://doi.org/10.1007/978-94-009-5187-7_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-247-3578-5
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