Rotary Inertia in the Classical Nonlinear Theory of Shells and the Constitutive (Non-Kinematic) Kirchhoff Hypothesis

[+] Author and Article Information
J. G. Simmonds

Department of Civil Engineering, University of Virginia, Charlottesville, VA 22903

J. Appl. Mech 68(2), 320-323 (Oct 19, 2000) (4 pages) doi:10.1115/1.1357870 History: Received August 07, 2000; Revised October 19, 2000
Copyright © 2001 by ASME
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Libai, A., and Simmonds, J. G., 1998, The Nonlinear Theory of Elastic Shells, 2nd ed., Cambridge University Press, Cambridge, UK.
Habip,  L. M., and Ebcioglu,  I. K., 1965, “On the Equations of Motion of Shells in the Reference State,” Ing.-Arch., 34, pp. 28–32.
Habip,  L. M., 1965, “Theory of Elastic Shells in the Reference State,” Ing-Arch., 34, pp. 228–237.
Naghdi, P. M., 1984, “The Theory of Shells and Plates,” Mechanics of Solids, Vol. II, C. Truesdell, ed., Springer-Verlag, Berlin, pp. 425–640.
Antman, S. S., 1995, Nonlinear Problems of Elasticity, Springer-Verlag, New York.
Koiter, W. T., and Simmonds, J. G., 1973, “Foundations of Shell Theory,” Proc. 13th International Congress of Theoretical and Applied Mechanics,” E. Becker and G. K. Mikhailov, eds., Springer-Verlag, Berlin, pp. 150–176.




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