We develop a family of locking-free elements for the Reissner– Mindlin plate using Discontinuous Galerkin techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.

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...

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...

A _nite element formulation of the piezoelectric vibrations of quartz resonators based on Mindlin plate theory is derived[ The higher!order plate theory is employed for the development of a collection of suc! cessively higher!order plate elements which can be e}ective for a broad frequency range including the fundamental and overtone modes of thickness!shear vibrations[ The presence of electrod...

This paper demonstrates a feasibility study of applying migration, which is widely used as an advanced data processing technique in geophysical exploration, to detect damage in a plate. This technique suggests a scheme that may build a real time, in situ, and quantitative health monitoring system. A linear actuator/sensor array is placed along a horizontal central axis on a square homogeneous i...

In this study, a dynamic Mindlin–Reissner-type plate is developed based on simplified version of Mindlin’s form-II first-strain gradient elasticity theory. The governing equations motion and the corresponding boundary conditions are derived using general virtual work variational principle. presented model contains, apart from two classical Lame constants, one additional microstructure material ...

For plate structures, their random parameters can be regarded as a two-dimensional field in the plane. To solve theory considering field, an efficient strategy for stochastic finite element method was adopted. Firstly, used to establish structural model, which characteristics of parameter were considered, and mathematical expression its obtained through Karhunen–Loève expansion; secondly, point...

In this paper we derive a strain gradient plate model from the three-dimensional equations of strain gradient linearized elasticity. The deduction is based on the asymptotic analysis with respect of a small real parameter being the thickness of the elastic body we consider. The body is constituted by a second gradient isotropic linearly elastic material. The obtained model is recognized as a st...

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...

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...