Conservative numerical methods for the Full von Kármán plate equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21974 ◽

2015 ◽

Vol 31 (6) ◽

pp. 1948-1970 ◽

Author(s):

Stefan Bilbao ◽

Olivier Thomas ◽

Cyril Touzé ◽

Michele Ducceschi

Keyword(s):

Numerical Methods ◽

Plate Equations ◽

Von Kármán Plate ◽

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Asymptotic Behavior and the Existence of Finite-Dimensional Attractors for von Karman Plate Equations with Boundary Damping

Boundary Control and Variation ◽

10.1201/9781482277685-20 ◽

1994 ◽

pp. 289-310

Keyword(s):

Asymptotic Behavior ◽

Boundary Damping ◽

Finite Dimensional ◽

Plate Equations ◽

Von Kármán Plate ◽

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Inertial Manifolds for von Karman Plate Equations

Applied Mathematics & Optimization ◽

10.1007/s00245-002-0741-7 ◽

2002 ◽

Vol 46 (2) ◽

pp. 179-206 ◽

Author(s):

Chueshov Igor ◽

Lasiecka Irena

Keyword(s):

Inertial Manifolds ◽

Plate Equations ◽

Von Kármán Plate ◽

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Asymptotic Behavior and Attractors for Nonlinear von Kármán Plate Equations with Boundary Dissipation

Control and Optimal Design of Distributed Parameter Systems - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-8460-1_8 ◽

1995 ◽

pp. 171-193

Author(s):

Irena Lasiecka

Keyword(s):

Asymptotic Behavior ◽

Plate Equations ◽

Boundary Dissipation ◽

Von Kármán Plate ◽

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Closed-Form, Axisymmetric Solution of the von Karman Plate Equations for Poisson’s Ratio One-Third

Journal of Applied Mechanics ◽

10.1115/1.3167167 ◽

1983 ◽

Vol 50 (4a) ◽

pp. 897-898 ◽

Author(s):

J. G. Simmonds

Keyword(s):

Closed Form ◽

Poisson’S Ratio ◽

Poisson's Ratio ◽

Axisymmetric Solution ◽

Plate Equations ◽

Von Kármán Plate ◽

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On the convergence of the Chien's perturbation method for von Karman plate equations

International Journal of Engineering Science ◽

10.1016/0020-7225(94)00121-y ◽

1995 ◽

Vol 33 (8) ◽

pp. 1085-1094 ◽

Author(s):

Xiaojing Zheng ◽

Jong S. Lee

Keyword(s):

Perturbation Method ◽

Plate Equations ◽

Von Kármán Plate ◽

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Finite-Dimensionality of Attractors Associated with von Kármán Plate Equations and Boundary Damping

Journal of Differential Equations ◽

10.1006/jdeq.1995.1057 ◽

1995 ◽

Vol 117 (2) ◽

pp. 357-389 ◽

Author(s):

I. Lasiecka

Keyword(s):

Boundary Damping ◽

Plate Equations ◽

Finite Dimensionality ◽

Von Kármán Plate ◽

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On the Range of Applicability of von Karman Plate Equations

Journal of Applied Mechanics ◽

10.1115/1.3176158 ◽

1989 ◽

Vol 56 (3) ◽

pp. 724-726 ◽

Author(s):

You-He Zhou ◽

Xiao-Jing Zheng

Keyword(s):

Plate Equations ◽

Von Kármán Plate ◽

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On the compatibility relation for the Föppl–von Kármán plate equations

Applied Mathematics Letters ◽

10.1016/j.aml.2012.07.013 ◽

2012 ◽

Vol 25 (12) ◽

pp. 2407-2410 ◽

Author(s):

Ciprian D. Coman

Keyword(s):

Compatibility Relation ◽

Plate Equations ◽

Von Kármán Plate ◽

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Pseudomonotone Operators, Bifurcation, and the von Kármán Plate Equations

Nonlinear Functional Analysis and its Applications ◽

10.1007/978-1-4612-4566-7_9 ◽

1988 ◽

pp. 322-347

Author(s):

Eberhard Zeidler

Keyword(s):

Pseudomonotone Operators ◽

Plate Equations ◽

Von Kármán Plate ◽

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On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity

Analysis and Applications ◽

10.1142/s0219530515500244 ◽

2016 ◽

Vol 15 (01) ◽

pp. 1-49 ◽

Author(s):

Igor Velčić

Keyword(s):

Nonlinear Elasticity ◽

Three Dimensional ◽

Elasticity Equations ◽

Plate Equations ◽

Von Kármán Plate ◽

Von Kármán ◽

Three Dimensional Elasticity

Starting from three-dimensional elasticity equations we derive the model of the homogenized von Kármán plate by means of [Formula: see text]-convergence. This generalizes the recent results, where the material oscillations were assumed to be periodic.

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