This paper presents the governing equations on the rectangular plate with the variation of material stiffness through their thick using higher order shear deformation theory (HSDT). The governing equations are obtained by using Hamilton's principle with regard to variation of Young's modulus in through their thick with regard sinusoidal variation of the displacement field across the thickness. ...

This paper is the second part of free vibration and stability analysis thick isotropic orthotropic plates. The support condition CCCC CCFC was considered by applying alternative II theory based on polynomial shape function. work application formulation earlier derived using Ritz method. frequency values first mode critical loads obtained were compared with those order shear deformation theory. ...

Several vibro-acoustic models for either single wall or multi-layer constructions are based on classical plate and first order shear deformation theories. The equivalent condensed employ the thin model to extract dynamic mechanical properties of system considering only flexural motions structure under investigation. Since these do not account compressional symmetric motion structure, both thick...

Abstract The present investigation has focus on the variations in a transversely isotropic thick circular plate subjected to ring loading. modified Green Nagdhi (GN) heat conduction equation with and without energy dissipation by introducing memory-dependent derivatives (MDD) two temperatures been used model problem. General solutions field equations have found using Hankel Laplace transform. a...

The free vibration analysis ofhomogeneous isotropic micropolar thermoelastic cylindrical curved plate in circumferential direction has been investigated in the context of generalized themoelasticity III, recently developed by Green and Naghdi. The model has been simplified using Helmholtz decomposition technique and the resulting equations have been solved using separation of variable method. M...

In the traditional buckling analysis of rectangular plates the classical thin plate theory is generally applied, so neglecting the plating shear deformation. It seems quite clear that this method is not totally appropriate for the analysis of thick plates, so that in the following the two variable refined plate theory proposed by Shimpi (2006), that permits to take into account the transverse s...

Based on a non classical plate theory, an analytical model is proposed for the first time to analyze free vibration problem of partially cracked thin isotropic submerged plate in the presence of thermal environment. The governing equation for the cracked plate is derived using the Kirchhoff’s thin plate theory and the modified couple stress theory. The crack terms are formulated using simplifie...