In this paper, free vibration analysis and forced vibration analysis of FG doubly clamped micro-beams is studied based on the third order shear deformation and modified couple stress theories. The size dependent dynamic equilibrium equations and both the classical and non-classical boundary conditions are derived using a variational approach. It is assumed that all properties of the FG micro-be...

In present study, thermo-elastic buckling analysis of multi-layer orthotropic annular/circular graphene sheets is investigated based on Eringen’s theory. The moderately thick and also thick nano-plates are considered. Using the non-local first and third order shear deformation theories, the governing equations are derived. The van der Waals interaction between the layers is simulated for multi-...

According to higher order (HO) theories of consciousness, a mental state is conscious when there HO about it. However, some states do not seem be other existing states. It possible resolve this problem since targetless resemble that misrepresent but the assumption always target at odds with theory are only necessary also sufficient for phenomenal consciousness according theory. Given sufficienc...

This paper presents an application of a Higher Order Shear Deformation Theory (HOST 12) to problemof free vibration simply supported symmetric and antisymmetric angle-ply composite laminated plates.The theoretical model HOST12 presented incorporates laminate deformations which account for the effectsof transverse shear deformation, normal strain/stress nonlinear variation in-planedisplacements ...

Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...

Free vibration of laminated composite shells with cutouts are presented by a nine noded curved C0 finite element (FE) formulation developed by authors based on higher order shear deformation theory (HSDT) using Sander's approximations. The proposed model satisfies parabolic distribution of transverse shear strains through the shell thickness and zero transverse shear stress conditions at shell ...