Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates
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Abstract A two-dimensional theory of flexural motions of isotropic, elastic plates is deduced from the three-dimensional equations of elasticity. The theory includes the effects of rotatory inertia and shear in the same manner as Timoshenko’s one-dimensional theory of bars. Velocities of straight-crested waves are computed and found to agree with those obtained from the three-dimensional theory. A uniqueness theorem reveals that three edge conditions are required.
1992 ◽
Vol 437
(1899)
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pp. 199-213
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1968 ◽
Vol 64
(3)
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pp. 895-913
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2017 ◽
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2012 ◽
Vol 57
(4)
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pp. 724-803
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2002 ◽
Vol 12
(4)
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pp. 1044-1052
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2004 ◽
Vol 109
(C1)
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1986 ◽
Vol 29
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pp. 47-56
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