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Stabilization by memory effects: Kirchhoff plate versus Euler–Bernoulli plate

Nonlinear Analysis: Real World Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tyszka, Guilherme F.   +2 more
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Kirchhoff Plates

2020
In the present chapter finite element implementation of Kirchhoff plates in bending is discussed using the so-called conforming and not conforming Hermite shape functions. Note that Hermite shape functions other than more common Lagrange functions, that consider nodal parameters only, use more kinematic parameters than the ones representing the ...
Ferreira A. J. M., Fantuzzi N.
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Vibration of Cracked Kirchhoff's Plates

Key Engineering Materials, 1997
This paper deals with the eigenvalue problems of cracked Kirchhoff's plates. Free vibration problems are solved for a plate with a centrally located internal crack. The fractal two-level finite element method (F2LFEM) which combines the efficiency of fractal transformation technique and the advantages of conventional finite element formulation is used ...
Leung, AYT, Su, RKL, Wong, SC
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Kirchhoff plate theory

2009
Chapter 5 develops the analysis of beams, which are structures presenting one dimension that is much larger than the other two. The present chapter focuses on another type of structural component, plates, which are defined as structures possessing one dimension far smaller than the other two.
Bauchau, Olivier, Craig, J.I.
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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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