Further investigations on Rayleigh waves in piezothermoelastic materials

Sharma, J. N.; Walia, Vishal

doi:10.1016/j.jsv.2006.09.018

Cited by 23 publications

(16 citation statements)

References 20 publications

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“…The physical data for a single crystal of CdSe material and PZT-5A ceramics are given as [6,21]: , 2 2 2 11 11 44 44 33 2 2 12 13 44 22 13 44 2 2 2 21 11 44 44 33 sin cos sin 2 , sin 2 s in cos Figure 4 represents the relation between the imaginary and real of refraction coefficient 3 o A A with the angle of incidence o  , as well as the relaxation …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

Alshaikh¹

2012

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The present paper concentrates on the study of reflection and refraction phenomena of waves in pyroelectric and piezoelectric media under initial stresses and two relaxation times influence by apply suitable conditions. The generalized theories of linear piezo-thermoelasticity have been employed to investigate the problem. In two-dimensional model of transversely isotropic piezothermoelastic medium, there are four types of plane waves quasi-longitudinal (qP), quasitransverse (qSV), thermal wave (T-mode), and potential electric waves (φ-mode) The amplitude ratios of reflection and refraction waves have been obtained. Finally, the results in each case are presented graphically.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Sharma and Kumar [5] studied plane harmonic waves in piezothermoelastic materials. The propagation of Rayleigh waves in generalized piezothermoelastic half space is investigated by Sharma and Walia [6].…”

Section: Introductionmentioning

confidence: 99%

The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

Alshaikh¹

2012

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“…The phase velocity profiles are found to be dispersive at small values of wave number and these become asymptotically linear at higher values of wave numbers. Sharma and Walia (2007) carried out further investigations on the propagation of Rayleigh waves in a homogeneous, transversely isotropic, piezothermoelastic semi-space. Sharma and Thakur (2006) studied the plane harmonic elasto-thermodiffusive waves in semiconductor materials.…”

Section: Introductionmentioning

confidence: 99%

Surface Wave Characteristics at the Interface of Welded Elastic Halfspaces

Sharma¹,

Sharma²,

Kumar³

2011

OJA

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The present article concentrates on the propagation of generalized surface acoustic waves in a composite struc- ture consisting of piezoelectric and non-piezoelectric semiconductor media. The mathematical model of the problem is depicted by a set of partial differential equations of motion, Gauss equation in piezoelectric and elec- tron diffusion equation in semiconductor along with boundary conditions to be satisfied at the interface. The secular equation that governs the propagation of surface waves has been derived in compact form after obtaining the formal solution. The analytic expressions for displacements, stresses, piezoelectric potential and electron concentration during the surface wave propagation at the interface have also been obtained. The numerical solu- tion of the secular equation is carried out for the cadmium selenide and silicon composite by employing fixed point functional iteration numerical method along with irreducible Cardano method. The computer simulated results with the help of MATLAB software in respect of dispersion curves, attenuation coefficient, displace- ments, stresses, carrier concentration and piezoelectric potential are presented graphically. This work may be useful in surface acoustic wave (SAW) devices and electronic industry

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“…Sharma and Pal [10] discussed the propagation of plane harmonic waves in transversely isotropic generalized piezothermoelastic materials and found four dispersive modes. The propagation of Rayleigh waves in generalized piezothermoelastic half-space is investigated by Sharma and Walis [11]. Topics of homogeneous and inhomogeneous waves, reflection/trasmission and energy problems in pyroelectrics are researched by authors [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

The Energy Process of Pyroelectric Medium

Yuan

2010

Journal of Thermal Stresses

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The fundamentals of energy process in the pyroelectric medium with generalized heat conduction theory are addressed firstly. From energy balance equation of pyroelectric medium, it is found that the energy density consists of the electric energy, the heat energy, the mechanical potential energy and the kinetic energy. The dissipation energy is attributed to the heat conduction, relaxation time and pyroelectric effect. The energy balance relation also identifies the energy flux which is independent of relaxation time. Accordingly the energy velocity is defined. The energy balance is obtained for inhomogeneous wave field. Plots of energy velocity and phase velocity in propagation and attenuation angle domain are presented, which show that the attenuation angle almost doesn't influence phase velocity of quasilongitudinal, quasitransverse I, II wave modes, while plays big role on the temperature wave. The energy velocities of the four wave modes all decay with the attenuation angle.

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Further investigations on Rayleigh waves in piezothermoelastic materials

Cited by 23 publications

References 20 publications

The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

Surface Wave Characteristics at the Interface of Welded Elastic Halfspaces

The Energy Process of Pyroelectric Medium

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