Modelling Dynamics of Piezoelectric Solids in the Two-dimensional Case
نویسندگان
چکیده
This article deals with the accuracy issues for a numerical scheme applied to coupled dynamic problems of electroelasticity. The computational results are discussed with examples for thin nite-dimension piezoceramic solids poled radially and circularly.
منابع مشابه
Three-dimensional BEM for transient dynamic analysis of piezoelectric and anisotropic elastic solids
A boundary element approach based on the Green’s functions in integral representation and the convolution quadrature method is presented. Proposed approach is designed for analyzing 3D initial boundary-value problems of the dynamics of general anisotropic elastic and piezoelectric linear homogeneous solids with mixed boundary conditions. Numerical modelling of transient dynamics of elastic anis...
متن کاملExtraction of Nonlinear Thermo-Electroelastic Equations for High Frequency Vibrations of Piezoelectric Resonators with Initial Static Biases
In this paper, the general case of an anisotropic thermo-electro elastic body subjected to static biasing fields is considered. The biasing fields may be introduced by heat flux, body forces, external surface tractions, and electric fields. By introducing proper thermodynamic functions and employing variational principle for a thermo-electro elastic body, the nonlinear constitutive relations an...
متن کاملTheoretical Formulations for Finite Element Models of Functionally Graded Beams with Piezoelectric Layers
In this paper an overview of functionally graded materials and constitutive relations of electro elasticity for three-dimensional deformable solids is presented, and governing equations of the Bernoulli–Euler and Timoshenko beam theories which account for through-thickness power-law variation of a two-constituent material and piezoelectric layers are developed using the principle of virtua...
متن کاملDynamics Analysis of the Steady and Transient States of a Nonlinear Piezoelectric Beam by a Finite Element Method
This paper presents a finite element formulation for the dynamics analysis of the steady and transient states of a nonlinear piezoelectric beam. A piezoelectric beam with damping is studied under harmonic excitation. A numerical method is used for this analysis. In the paper, the central difference formula of four order is used and compared with the central difference formula of two order in th...
متن کاملشبیه سازی ذوب سیستمهای دو بعدی
The study of a two-dimensional (2-D) system started nearly half a century ago when Peierls and Landau showed the lack of long range translational order in a two-dimensional solid. In 1968, Mermin proved that despite the absence of long range translational order. Two-dimensional solids can still exhibit a different kind of long range bond orientation. During the last decade, fascinating theori...
متن کامل