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An efficient hybrid quadrilateral Kirchhoff plate bending element

International Journal for Numerical Methods in Engineering, 1991
AbstractThis paper discusses the formulation of a hybrid stress quadrilateral Kirchhoff plate bending element based on an extended complementary energy functional first proposed by Tong. With the inclusion of a Lagrange multiplier in the functional to enforce a constraint on the assumed moment space, the construction of the C1 deflection profile inside
Sze, KY, Chow, CL
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Localization of Eigenfunctions in a Narrow Kirchhoff Plate

Russian Journal of Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bakharev, F. L., Matveenko, S. G.
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Octet formalism for Kirchhoff anisotropic plates

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002
Summary: An octet formalism is established for stretching and bending deformations of an anisotropic elastic plate based on the Kirchhoff theory. The plate is inhomogeneous in the thickness direction and thus includes the laminated plate as a special case.
Cheng, Zhen-Qiang, Reddy, J. N.
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Kirchhoff plates with viscous boundary dissipation

Meccanica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FRANCHI, FRANCA   +2 more
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Dynamic Response of FGM Kirchhoff’s Plate

2020
The study proposes a new rectangular finite element of 16° of freedom based on hermitic cubic polynomials, for investigating the strength of a thin rectangular FG plate compared to conventional materials like pure ceramic or pure metals on the aspects of static and dynamic performance.
Pratikshya Mohanty   +1 more
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Refined quadrilateral discrete Kirchhoff thin plate bending element

International Journal for Numerical Methods in Engineering, 1997
Summary: In order to improve the accuracy of the original quadrilateral discrete Kirchhoff thin plate bending element DKQ, a simple explicit expression of refined constant strain matrix can be introduced into its formulation so as to establish a refined element RDKQ.
Wanji, C, Cheung, YK
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Thin Plates. Kirchhoff Theory

2013
This chapter introduces the study of structures formed by “thin surfaces” such as plates and shells. Plates will be studied in this and the two following chapters. Shell structures formed by assembly of flat plates will be considered in Chapter 8. Axisymmetric shells will be treated in Chapter 9.
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Nonlinear Boundary Conditions in Kirchhoff-Love Plate Theory

Journal of Elasticity, 2009
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Iosifescu, Oana   +2 more
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From Kirchhoff to Mindlin plate elements

Communications in Applied Numerical Methods, 1988
AbstractA procedure to generalize Kirchhoff thin plate finite elements so that they can be used for solving thick Mindlin plates is presented. Two typical discrete Kirchhoff elements, a triangular one and a quadrilateral one, are modified. Numerical results for a clamped circular plate show that the accuracy of the new Mindlin elements is the same as ...
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Bending Solutions of Sectorial Mindlin Plates from Kirchhoff Plates

Journal of Engineering Mechanics, 2000
This study presents exact relationships between the bending solutions of sectorial plates based on the Kirchhoff (or classical thin) plate theory and the Mindlin plate theory. While the former plate theory neglects the effect of transverse shear deformation, the latter theory allows for this effect, which becomes significant when dealing with thick ...
Wang, C. M., Lim, G. T.
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