In this study, based on nonlocal differential constitutive relations of Eringen, the first order shear deformation theory of plates (FSDT) is reformulated for vibration of nano-plates considering the initial geometric imperfection. The dynamic analog of the von Kármán nonlinear strain-displacement relations is used to derive equations of motion for the nano-plate. When dealing with nonlineariti...

In this paper, the thermal buckling analysis of a circular plate made of FGM materials with actuator/actuator piezoelectric layers based on neutral plane, classical plate theory and first order shear deformation plate theory is investigated. Reddy's model is assumed for material properties of FGM plate. Plate under the thermal loading, nonlinear temperature rise through the thickness and clampe...

This study investigates geometrical non-linear analysis of composite circular cylindrical shells under external pressure over part of their surfaces and also shells subjected to combined axial compression and triangular external pressure. Donnell non-linear shell theory along with first order shear deformation theory (FOSD) are adopted in the analysis. In the case of combined axial compression ...

Abstract: Shear deformation is the most principal deformation in the lateral deformation of shear wall built with precast hollow slab which is designed to be strong shearing and weak bending. The special mechanical characteristic of the shear wall is the relative deformation of the concrete on both sides of vertical and inner joint respectively. The study introduces the measuring scheme of shea...

This paper presents a unified solution method to investigate the free vibration behaviors of laminated composite conical shell, cylindrical and an annular plate with variable thickness arbitrary boundary conditions using Haar wavelet discretization (HWDM). Theoretical formulation is established based on first-order shear deformation theory (FSDT), displacement components are extended series in ...

We present and compare three elastoplastic models currently used for deformation of metallic glasses, namely, a von Mises model, a modified von Mises model with hydrostatic stress effect included, and a Drucker-Prager model. The constitutive models are formulated in conjunction with the free volume theory for plastic deformation and are implemented numerically with finite element method. We sho...

This paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. The characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal Mindlin plate. This theory is considering both the small length scale effects and transverse shear deformation ef...

This paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. The characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal Mindlin plate. This theory is considering both the small length scale effects and transverse shear deformation ef...

This paper proposes the refined first order shear deformation theory to investigate the free vibration behavior of bidirectional functionally graded porous plates. This theory satisfies the transverse shear stress free conditions at the top and bottom of the plate, thus avoids the need of a shear correction factor. The rule of mixtures is employed to compute the effective material properties an...

The steady state thermodynamic properties of a binary-phase shear fluid are studied quantitatively using the compressible lattice Boltzmann BGK theory with mesoscopic inter-particle potentials. For the Newtonian van der Waals fluid, numerical calculation shows that the effect of boundary shear on steady state phase diagram of immiscible phases is negligible when the fluid is not in the near-cri...