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On simplified deformation gradient theory of modified gradient elastic Kirchhoff–Love plate

European Journal of Mechanics - A/Solids, 2023
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Zhou, Yucheng, Huang, Kefu
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New rectangular plate elements based on twist-Kirchhoff theory

Computer Methods in Applied Mechanics and Engineering, 2011
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F Brezzi   +3 more
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An Inverse Problem for the Plate in the Love–Kirchhoff Theory

SIAM Journal on Applied Mathematics, 1993
Summary: This paper studies an inverse boundary value problem for the equation of the flexure of the linear, inhomogeneous, isotropic, thin plate in the context of the Love-Kirchhoff theory. It is shown that the Young modulus \(E\) and the Poisson ratio \(\nu\) of the material forming the plate can be determined by the Dirichlet-to-Neumann map, the ...
Masaru Ikehata
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The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory

Computers & Mathematics with Applications, 2021
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Chong-Jun Li   +3 more
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A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory

European Journal of Mechanics - A/Solids, 2011
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Wang, Binglei   +3 more
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A modified Kirchhoff plate theory for analyzing thermo-mechanical static and buckling responses of functionally graded material plates

Thin-Walled Structures, 2017
Abstract In this paper, we present a modified Kirchhoff theory for analyzing thermo-mechanical static and buckling responses of functionally graded material (FGM) isotropic and sandwich plates. In comparison to the classical Kirchhoff theory, the proposed method is taken account into the shear deformation effects, then it can be applied for both ...
Vuong Nguyen Van Do, Chien H. Thai
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Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates

Mathematics and Mechanics of Solids, 2022
The classical Kirchhoff–Love theory of a nonlinearly elastic plate provides a way to compute the deformation of such a plate subjected to given applied forces and boundary conditions by solving the Euler–Lagrange equation associated with a specific minimization problem, whose unknown is the displacement field of the middle surface of the plate.
Philippe G Ciarlet, Cristinel Mardare
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