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A refined beam theory based on the refined plate theory

Acta Mechanica, 2005
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Gao, Y., Wang, M. Z.
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A Refined Theory for Isotropic Plates

Transactions of the Canadian Society for Mechanical Engineering, 1984
A new theory for the bending of plates is developed to include the effects of transverse shear, transverse normal stress and transverse normal strain. The transverse normal strain effect is incorporated by the use of a transverse displacement function w whose distribution through the thickness is explicitly obtained on physical grounds as a fourth ...
M.H. Baluch, G.Z. Voyiadjis, A.K. Azad
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Theory and refined theory of elasticity for transversely isotropic plates and a new theory for tnick plates

Applied Mathematics and Mechanics, 1988
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Zhong, Zhenghua, Luo, Jianhui
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Elasticity Theory of Plates and a Refined Theory

Journal of Applied Mechanics, 1979
A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
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The refined theory of piezoelectric thick plates

2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2009), 2009
Based on linear piezoelasticity theory, without requirement of any ad hoc assumptions concerning the deformation or the stress state, various two-dimensional equations have been deduced systematically and directly from the three-dimensional theory of thick rectangular plates by using the general solution of transversely isotropic piezoelasticity and ...
null Yang Gao   +2 more
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On Certain Refined Theories for Plate Bending

Journal of Applied Mechanics, 1988
This note presents the derivation of an eighth-order theory for plate bending which decomposes the plate flexure as occurring in two stages. During the basic stage of flexure the plate bends in accordance with the Kirchhoff hypothesis, while during an additional flexural stage the effects of transverse shear deformation are incorporated into the theory.
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Refined Theory for Thick Composite Plates

Journal of Engineering Mechanics, 1988
A refined theory for the bending of composite plates is developed, based on an assumed variation of the shear stresses through the thickness. The influence of transverse normal strain, transverse normal stress, and shear deformation is accounted for in the formulation. The development yields a bending‐extension coupling, yielding a tenth‐order boundary
George Z. Voyiadjis, Mohammed H. Baluch
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A Refined Theory for Laminated Orthotropic Plates

Journal of Applied Mechanics, 1974
A refined structural theory is presented which accurately models the static and dynamic behavior of laminated orthotropic plates. The refined theory extends classical theory to include transverse shear, transverse normal, and quadratic displacement terms in the kinematic assumption.
R. B. Nelson, D. R. Lorch
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The Refined Theory of Thermoelastic Rectangular Plates

Journal of Thermal Stresses, 2007
The problem of deducing two-dimensional theory from three-dimensional theory for a thermoelastic isotropic body is investigated. Based on thermoelasticity theory, the refined plate theory is derived by using Biot's solution of thermoelasticity and Lur'e method without ad hoc assumptions.
Yang Gao, Bao-sheng Zhao
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A Refined Theory of Anisotropic Thick Plates

1990
For the deformation of anisotropic plates with arbitrary thickness, a refined theory is proposed to derive approximate equations with any desired accuracy, and general two-dimensional equations in the n-th order approximation are presented. The approximate equations presented are solved for a graphite/epoxy composite plate subjected to a sinusoidally ...
Satoru IGARASHI, Katsuhisa SHIBUKAWA
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