The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.

The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.

A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...

The von Kármán-Howarth equations are derived for three-dimensional (3D) Hall magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic turbulence. From these equations, we derive exact scaling laws for the third-order correlation tensors. We show how these relations are compatible with previous heuristic and numerical results. These multi-scale laws provide a relevant tool to inves...

We consider a two-dimensional model of viscoelastic von K\'arm\'an plates in the Kelvin's-Voigt's rheology derived from three-dimensional at finite-strain setting. As width plate goes to zero, we perform dimension-reduction 2D 1D and identify an effective one-dimensional for ribbon comprising stretching, bending, twisting both elastic viscous stress. Our arguments rely on abstract theory gradie...

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This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and...