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Analysis of the vibrational characteristics of diamane nanosheet based on the Kirchhoff plate model and atomistic simulations [PDF]
Discover Nano, 2023 Single layer diamond—diamane, has been reported with excellent mechanical properties. In this work, molecular dynamics (MD) simulation and Kirchhoff plate model are utilized to investigate the vibrational characteristics of diamane sheets. The mechanical
Zhuoqun Zheng +4 more
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Two-scale convergence analysis and numerical simulation for periodic Kirchhoff plates [PDF]
HeliyonHomogenization analysis methods provide a high-efficiency tool to address periodic structures. However, the popular Asymptotic Homogenization Method (AHM) cannot be directly applied to the homogenization of periodic plate structures due to less ...
Zhiwei Huang +3 more
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Nitsche's Method for Kirchhoff Plates [PDF]
SIAM Journal on Scientific Computing, 2021 We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.
Stenberg, Rolf +3 more
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Mathematics, 2021 A Simple three-node Discrete Kirchhoff Triangular (SDKT) plate bending element is proposed in this study to overcome some inherent difficulties and provide efficient and dependable solutions in engineering practice for thin plate structure analyses ...
Longgang Tian, Ziling Cheng
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Dynamic stability of anisotropic fiber-reinforced plate [PDF]
E3S Web of Conferences, 2021 The dynamic stability problem of an anisotropic fiber-reinforced plate under increasing compressing load is considered in a geometrically nonlinear formulation using the Kirchhoff-Love’s shell theory.
Eshmatov Bakhtiyor +3 more
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Unsteady bending function for an unlimited anisotropic plate [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This work is devoted to the study of non-stationary vibrations of a thin anisotropic unbounded Kirchhoff plate under the influence of random non-stationary loads.
Alexander O. Serdiuk +2 more
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Piezo-ElectroMechanical (PEM) Kirchhoff–Love plates [PDF]
European Journal of Mechanics - A/Solids, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Silvio ALESSANDRONI +3 more
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Stability of Solutions for a Krichhoff-Type Plate Equation with Degenerate Damping
Communications in Advanced Mathematical Sciences, 2022 We investigate a Kirchhoff type plate equation with degenerate damping term. By potential well theory, we show the asymptotic stability of energy in the presence of a degenerate damping.
Fatma Ekinci, Erhan Pişkin
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Bilinear boundary optimal control of a Kirchhoff plate equation
Results in Control and Optimization, 2022 This work shows that a problem of boundary optimal control of a Kirchhoff plate equation has a solution that we characterized using the differentiability of a functional cost.
Abdelhak Bouhamed +2 more
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Finite Element Analyses of the Modified Strain Gradient Theory Based Kirchhoff Microplates
Surfaces, 2021 In this contribution, the variational problem for the Kirchhoff plate based on the modified strain gradient theory (MSGT) is derived, and the Euler-Lagrange equations governing the equation of motion are obtained.
Murat Kandaz, Hüsnü Dal
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