The theory of generalized thermoelasticity, based on the theory of Lord and Shulman with one relaxation time, is used to study the electromagneto-thermoelastic interactions in a semi-infinite perfectly conducting solid subjected to a thermal shock on its surface when the solid and its adjoining vacuum is subjected to a uniform axial magnetic field. The solid deforms because of thermal shock, and due to the application of the magnetic field, there result an induced magnetic and an induced electric field in the solid. The Maxwell s equations are formulated and the generalized electromagneto-thermoelastic coupled governing equations are established. Based on these governing equations, the generalized electromagnetothermoelastic coupled finite element equations are first formulated in this paper. By means of the Laplace transform and numerical Laplace inversion the problem is solved. The distributions of the considered physical variables are represented graphically. From the distributions, it can be found the electromagneticthermoelastic coupled effects and the wave type heat propagation in the medium. This indicates that the generalized heat conduction mechanism is completely different from the classic Fourier s in essence.

In this paper, the dynamic instability of a simple supported, fimite-length, laminated circular cylindrical shells subjected to parametric excitation by axial loading and covered by piezoelectric materials presented analytically. The shell is taken to be orthotropic and could be oriented at angles of 0˚ and 9˚ (cross-ply) or at +θ and -θ (angle-ply) with respect to the shell axis. The effect of transverse shear deformation shell theory. Unimodal approximation of so-lution is adopted, and several mode shapes are seleted to explain the effects of the piezoelectricity of materials, as well as the effects of the geomtric parameters on instability regions.

An analytical study for the piezothermoelastic behavior of a circular cylindrical shell laminated with a piezoelectric layer is presented. The solution is obtained through the Power Series Expansion method in conjunction with axisymmetric thermal and mechanical loadings expanded as Fourier series. Both the direct and the inverse piezoelectric effects are studied in detail. Results presented are valuable for both assessing numerical results (e.g. the finite element method) obtained fromapproximate methods and understanding the piezothermoleastic response of piezoelectric smart shells. It is develop analytical models for piezoelectric structures to pizothermoelectric shell structures must be careful.

Analytic solutions are obtained for the two-dimensional problem of a magnetoelectroelastic inclusion of arbitrary shape in an entire plane, or interacting with a circular magnetoelectroelastic inhomogeneity, or within one of the two bonded dissimilar magnetoelectroelastic half-planes. The eigenfield imposed on the inclusion consists of uniform anti-plane eigenstrains, uniform in-plane eigenelectric field, and uniform inplane eigenmagnetic field. Several examples of practical practice are also presented to demonstrate the obtained solutions.

A mixed _nite element formulation is presented for modelling the behaviour of laminated composite plates containing integral piezoelectric layers and is utilized to study the response of the distributed sensors made of PVDF film when the laminate is subjected to low velocity impact. The formulation is based on the Hamilton variational principle which takes into account the electric field potential energy of the piezoelectric layers. In view of the intrinsic state of the contact problem, the laminate is discretized by three!dimensional and two-dimensional elements, between which transition elements are introduced to provide a smooth interphase zone. Numerical examples show the accuracy of the method. The close circuit charge generated by the piezoelectric sensor is computed and the inuence of the skew angle of the PVDF film is examined as well.

The general finite element formulations for piezoelectric sensors and actuators are derived by using the virtual work principle, and are verified mathematically and numerically. The ampli-tude-frequency and the phase-frequency charactersitics of the closed-loop system are studied in detail, and the control effects owing to the distributions of the segmented piezoelectric patches are also investigated. Several numerical results are presented.