We consider here the Cauchy problem for the full system of dynamic Von KK armm an equations, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of nite energy solutions in the case of an innnite plate. We show then that our methods and results still hold for a rectangular plate which is simply supported or clamped at the boundary. Moreover...

In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...

In this paper, the modified couple stress theory is used to study vibration analysis of functionally graded rectangular micro-plates. Considering classical and first order plate theories, the couple governing equations of motion are obtained by using the Hamilton’s principle. Considering an assumed mode method, the accurate size dependent natural frequencies are established for simply supported...

the effect of steel plate thickness on the repair effectiveness of rc beam is presented in this paper. a total of four beams were tested, one beam repaired by cfrp with a thickness of 1.2 mm and used as a control beam, and three beams repaired by a steel plate. steel plates with a thickness of 2 mm, 3 mm, and 4 mm were used in repairing the beams. the maximum load-carrying capacity, deflection ...

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 presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...

In this paper a variationally consistent trigonometric shear deformation theory is presented for the free vibration of thick isotropic square and rectangular plate. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The cosine function in terms of thickness coordinate is used in tr...

Thermo-elastic damping is a significant dissipation mechanism in high quality factor microstructures. In this paper, thermo-elastic damping of the in-plane vibration of fully clamped rectangular micro-plates has been studied. The governing equation of the micro-plate motion and heat conduction equation were derived. Then, The Galerkin method has been used to solve the coupled heat-displacement ...

in this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and maxwell equations. levy type solution and finite element method using comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compa...

this paper deals with local buckling analysis of rectangular functionally graded material plates using finite strip method and based on classical plate theory. the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. the principle of minimum total potential energy is employed to obtain stiffness and sta...