A Refined Theory of Elastic, Orthotropic Plates
Keyword(s):
Abstract A refined theory of elastic, orthotropic plates is presented. The theory includes the effect of transverse shear deformation and normal stress and may be considered a generalization of the classical theory of von Karman modified by the refinements of the Levy-Reissner-Mindlin theories. A nonlinear system of equations is derived directly from the corresponding equations of the three-dimensional theory of elasticity in which body-force terms have been retained. Next, the system of equations is linearized and reduced to a single sixth-order partial differential equation in a stress function. A Levy-type solution of this equation is discussed.
2007 ◽
Vol 71
(4)
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pp. 519-526
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1998 ◽
Vol 68
(2)
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pp. 103-121
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1959 ◽
Vol 25
(155)
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pp. 619-630
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1967 ◽
Vol 1
(2)
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pp. 122-135
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Keyword(s):
1987 ◽
Vol 53
(491)
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pp. 1511-1518
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2005 ◽
Vol 05
(02)
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pp. 299-312