Journal ArticleDOI
On the theory of generalized thermoelasticity for piezoelectric materials
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TLDR
It is found that there exists three plane waves in a two-dimensional model of thermo-piezoelectric solid and the velocities of these plane waves are found to depend upon properties of material and the angle of propagation.About:
This article is published in Applied Mathematics and Computation.The article was published on 2005-12-01. It has received 24 citations till now. The article focuses on the topics: Plane wave & Numerical analysis.read more
Citations
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Variational principles for generalized dynamical theory of thermopiezoelectricity
TL;DR: In this paper, the universal thermodynamic variational principle proposed in the previous papers for nonlinear dielectrics is extended to the thermopiezoelectricity and it is used as a fundamental physical principle to derive the simple complete governing equations of the generalized dynamical theory of thermopiegoelectrics.
Journal ArticleDOI
Variational principles for generalized thermodiffusion theory in pyroelectricity
TL;DR: In this paper, the universal thermodynamic variational principle proposed in the previous papers for nonlinear dielectrics and thermopiezoelectricity is extended to the thermodiffusion theory in pyroelectricity, and it is used as a fundamental physical principle to derive the simple complete governing equations of the generalized thermo-electro-diffuso-elastic theory in this paper.
Journal ArticleDOI
Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity
Abo-el-nour N. Abd-alla,Ivan Giorgio,Luca Galantucci,Abdelmonam M. Hamdan,Dionisio Del Vescovo +4 more
TL;DR: In this paper, the reflection coefficients of plane qP waves are derived in terms of the angle of incidence, the elastic, electric and thermal parameters of the medium, as well as the thermal relaxation times.
Journal ArticleDOI
The reflection phenomena of quasi-vertical transverse waves in piezoelectric medium under initial stresses
TL;DR: In this paper, the propagation of plane vertical transverse waves at an interface of a semi-infinite piezoelectric elastic medium under the influence of the initial stresses is discussed.
Journal ArticleDOI
The mathematical model of reflection and refraction of longitudinal waves in thermo-piezoelectric materials
Abo-el-nour N. Abd-alla,Abo-el-nour N. Abd-alla,Abdelmonam M. Hamdan,Ivan Giorgio,Dionisio Del Vescovo +4 more
TL;DR: In this paper, the basic equations of motion, of Gauss and of heat conduction, together with constitutive relations for pyro- and piezoelectric media, are presented.
References
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Journal ArticleDOI
A generalized dynamical theory of thermoelasticity
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
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Equations of high frequency vibrations of thermopiezoelectric crystal plates
TL;DR: In this article, a system of two-dimensional equations for high frequency motions of crystal plates accounting for coupling of mechanical, electrical and thermal fields is derived for high-frequency motions.
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Some general theorems of thermopiezoelectricity
TL;DR: In this paper, a uniqueness theorem for the solutions of the differential equations of thermopiezoelectricity is given, on the basis of the energy balance, and the generalized Hamilton principle and the theorem of reciprocity of work are also deduced.
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A generalized linear thermoelasticity theory for piezoelectric media
TL;DR: In this article, a theory of thermoelasticity for piezoelectric materials, including heat-flux among the independent constitutive variables, is formulated, and it is found that the linearized version of the theory admits a finite speed for thermal signals.
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Micromechanics of coupled electroelastic composites: Effective thermal expansion and pyroelectric coefficients
TL;DR: In this paper, the effective thermal expansion and pyroelectric coefficients of two-phase coupled electroelastic composite materials are obtained by coupling various micromechanics theories with exact relations connecting their effective thermal and electro-elastic moduli.