Study of Edge-Zone Equation of Mindlin-Reissner Plate Theory
Publication: Journal of Engineering Mechanics
Volume 126, Issue 6
Abstract
Analytical solutions are obtained for the interior and edge-zone equations of Mindlin-Reissner plate theory in bending of composite circular sector plates laminated of transversely isotropic layers. Circular sector laminates, under various boundary conditions, are considered. It is shown that, depending on the boundary conditions of the laminate, the boundary-layer effect on the response quantities of the laminate will be strong, weak, or nonexistent.
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References
1.
Kirchhoff, G. (1850). “Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.” J. Reine Andew Math, 40, 51–58 (in German).
2.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates.” J. Appl. Mech., 18, 31–38.
3.
Mindlin, R. D., and Deresiewicz, H. (1954). “Thickness-shear and flexural vibrations of a circular disk.” J. Appl. Phys., 25, 1329–1332.
4.
Nosier, A., and Reddy, J. N. (1991). “A study of non-linear dynamics equation of higher order shear deformation plate theories.” Int. J. Non-Linear Mech., 22, 233–249.
5.
Nosier, A., and Reddy, J. N. (1992a). “On boundary layer and interior equations for higher-order theories of plates.” ZAMM, 72, 657–666.
6.
Nosier, A., and Reddy, J. N. (1992b). “On vibration and buckling of symmetric laminated plates according to shear deformation theories. Part I.” Acta Mechanica, 94, 123–144.
7.
Nosier, A., and Reddy, J. N. (1992c). “On vibration and buckling of symmetric laminated plates according to shear deformation theories. Part II.” Acta Mechanica, 94, 145–169.
8.
Nosier, A., Yavari, A., and Sarkani, S. (2000). “A study of the edge-zone equation of Mindlin-Reissner plate theory in bending of laminated rectangular plates.” Acta Mechanica, to appear.
9.
Reddy, J. N. (1984). Energy and variational methods in applied mechanics. Wiley, New York.
10.
Reddy, J. N. (1997). Mechanics of laminated composite plates: Theory and analysis. CRC, Boca Raton, Fla.
11.
Reddy, J. N. (1999). Theory and analysis of elastic plates. Taylor and Francis, Philadelphia.
12.
Reissner, E. (1944). “On the theory of bending of elastic plates.” J. Math. Phys., 23, 184–191.
13.
Reissner, E. (1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech., 12, 69–77.
14.
Reissner, E. (1947). “On bending of elastic plates.” Quarterly Appl. Math., 5, 55–68.
15.
Reissner, E. (1985). “Reflections on the theory of elastic plates.” Appl. Mech. Rev., 38(11), 1453–1464.
16.
Timoshenko, S. P., and Woinowsky-Krieger, S. (1959). Theory of plates and shells. McGraw-Hill, New York.
17.
Yavari, A., Sarkani, S., and Moyer, E. T., Jr. (2000). “On applications of generalized functions to beam bending problems.” Int. J. Solids and Struct., to appear.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 126 • Issue 6 • June 2000
Pages: 647 - 651
History
Received: Jan 27, 1999
Published online: Jun 1, 2000
Published in print: Jun 2000
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