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...

Convergence studies for the static analysis of thin plates resting on Pasternak foundations is performed. The are discretized using two different finite elements, formulations which based Kirchhoff and Reissner-Mindlin plate theories. shear locking problem arises when full integration used in element implementation theory eliminated with selective integration. foundation accounted by adding par...

In composite plate structures, it is common to combine di erent materials with very di erent Young's moduli and densities. Damping treatments can also be added to prevent high levels of vibration. For discretized problems, the static and dynamic behavior of such heterogeneous structures can be carried out with the 3D elasticity theory but this often leads to very large systems. Therefore, plate...

Measurements of the velocities of the extensional and flexural plate modes were made along three directions of propagation in four graphite/ epoxy composite plates. The acoustic signals were generated by simulated acoustic emission events (pencil lead breaks or Hsu-Neilsen sources) and detected by broad band ultrasonic transducers. The first arrival of the extensional plate mode, which is nondi...

Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...

Plate structures suffering thermal environments are often encountered in practice. In this paper, buckling behavior of complex-shaped plates by an adaptive multi-patch isogeometric analysis (IGA) based on locally refined NURBS and Nitsche’s method is studied. Kinematic equations derived using Reissner–Mindlin plate theory, while complex geometries represented with multiple patches, where the co...

In this paper, we present a technique for the deposition of inks, toners, organic polymers, fuels, small solid particles, biological and chemical fluids, using a fluid ejector. The ejector design is based on a flextensional transducer that excites the axisymmetric resonant modes of a clamped circular plate. It is constructed by depositing a thin piezoelectric annular plate onto a thin, edge cla...

We consider a port-Hamiltonian system on spatial domain $\Omega \subseteq \mathbb{R}^n$ that is bounded with Lipschitz boundary. show there boundary triple associated to this system. Hence, we can characterize all conditions provide unique solutions are non-increasing in the Hamiltonian. As by-product develop theory of quasi Gelfand triples. Adding ``natural'' controls and observations yields s...