Numerical simulation of Lamb waves propagation in a functionally graded piezoelectric plate composed of GaAs-AlAs materials using Legendre polynomial approach

Othmani, Cherif; Takali, Farid; Njeh, Anouar; Ghozlen, Mohamed Hédi Ben

doi:10.1016/j.ijleo.2017.05.099

Cited by 31 publications

(11 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Wang and Li [27], a memory-dependent derivative (MDD) was introduced in the first order of the function f (t), defined in the form of a single integrated derivative with a slip interval kernel function [t − ω, t]:…”

Section: Fundamental and Governing Equationsmentioning

confidence: 99%

“…Introducing Equation (27) into Equations (21) and (25), the thermal stress σ zz and the heat equation can be rewritten as…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…Othmani et al [26] conducted a theoretical study on the scattering curves of lamb waves in GaAs-FGPMAlAs piezoelectrical-semiconductor plates. In the practical piezoelectric plate consisting of GaAs-AlAs materials, Othmani et al [27] introduced computational simulation of the propagation of Lamb waves using the Legendre polynomial method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

2020

View full text Add to dashboard Cite

The current work deals with the study of a thermo-piezoelectric modified model in the context of generalized heat conduction with a memory-dependent derivative. The investigations of the limited-length piezoelectric functionally graded (FGPM) rod have been considered based on the presented model. It is assumed that the specific heat and density are constant for simplicity while the other physical properties of the FGPM rod are assumed to vary exponentially through the length. The FGPM rod is subject to a moving heat source along the axial direction and is fixed to zero voltage at both ends. Using the Laplace transform, the governing partial differential equations have been converted to the space-domain, and then solved analytically to obtain the distributions of the field quantities. Numerical computations are shown graphically to verify the effect of memory presence, graded material properties, time-delay, Kernel function, and the thermo-piezoelectric response on the physical fields.

show abstract

Section: Fundamental and Governing Equationsmentioning

confidence: 99%

“…Introducing Equation (27) into Equations (21) and (25), the thermal stress σ zz and the heat equation can be rewritten as…”

Section: Statement Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

2020

View full text Add to dashboard Cite

show abstract

“…, and H j m are the corresponding elements of these matrices, which can be obtained by equation (8) Note that in equation (11), once we specify a fixed value of v, it does not have the structure of a general eigenvalue problem in k. In previous research works, 12,13 equation (11) was transformed into an eigenvalue problem with eigenvalue v. For a propagating wave, it is simple to specify real k and then solve for v. But for an evanescent wave, it is useless because the wavenumber is complex, which involves a multivariable search. To deal with this problem, we develop a new solution procedure to recast the equation again in the form of a general eigenvalue problem, as shown below.…”

Section: Mathematics and Formulation Of The Problemmentioning

confidence: 99%

“…7 There are also many methods taking FGM as a continuous gradient medium to be proposed for analyzing guided waves in FGM structures, such as the Wentzel-Kramers-Brillouin method, 8 power series method, 9 reverberation-ray matrix method, 10 state vector method, 11 and orthogonal polynomial series method. 12,13 Such methods have been successfully applied to computing, two-dimensional (2D), and less often three-dimensional (3D), dispersion curves for guided waves. Recently, the guided waves in nanostructures and functionally graded nanostructures have also been extensively investigated.…”

Section: Introductionmentioning

confidence: 99%

Properties of circumferential non-propagating waves in functionally graded piezoelectric cylindrical shells

Zhang

et al. 2019

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Each guided elastic wave mode is composed of propagating and non-propagating branches. Non-propagating branches associated with complex wavenumbers are substantially different from the propagating ones. Accurate calculation of the transcendental dispersion equation for complex wavenumbers and arbitrary ranges of frequencies is usually very difficult, especially for demanding cases such as those involving composite materials and curved structures. In this article, an extended Legendre orthogonal polynomial method is presented to determine non-propagating waves in a functionally graded piezoelectric cylindrical shell. The extended Legendre orthogonal polynomial method can obtain complete solutions without the tedious iterative search. Results are compared with those published earlier to validate the extended Legendre orthogonal polynomial method, and the convergence of this method is also discussed. Dispersion characteristics of the non-propagating waves in various graded piezoelectric cylindrical shells are studied and three-dimensional dispersion curves are plotted. The effects of piezoelectricity, graded fields, and the mechanical and electrical boundary conditions on dispersion curves are illustrated. The displacement amplitude, stress, and electric potential distributions are also analyzed in detail. Numerical results show that the extended Legendre orthogonal polynomial method is very efficient to retrieve the guided waves of any nature and the modes of all orders.

show abstract

Analysis of Flexoelectricity with Deformed Junction in Two Distinct Piezoelectric Materials Using Wave Transmission Study

Singhal

Tiwari

Baroi

et al. 2022

Nonlinear Dynamics and Applications

View full text Add to dashboard Cite

Numerical simulation of Lamb waves propagation in a functionally graded piezoelectric plate composed of GaAs-AlAs materials using Legendre polynomial approach

Cited by 31 publications

References 19 publications

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

Properties of circumferential non-propagating waves in functionally graded piezoelectric cylindrical shells

Analysis of Flexoelectricity with Deformed Junction in Two Distinct Piezoelectric Materials Using Wave Transmission Study

Contact Info

Product

Resources

About