Mathematical Modelling for Studying the Influence of the Initial Stress and Relaxation Time on Reflection Waves in Thermo-piezoelectric Half-space

Author:

Alshaikh Fatimah A.1,Abd-Alla Abo-El-Nour N.1

Affiliation:

1. Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia

Abstract

The aim of this study is to illustrate of the influence of the thermal relaxation time according the Lord-Shulman model and the initial stress on the reflection of plane waves in an elastic transversely isotropic thermo-piezoelectric half-space. The governing equation and suitable boundary conditions of a transversely isotropic thermo-piezoelectric medium are solved to obtain reflection coefficients when incident waves are falling at the interface between vacuum and half-space. The effects of thermal relaxation time and the initial stress are calculated numerically and shown graphically on these coefficients

Publisher

North Atlantic University Union (NAUN)

Subject

Management Science and Operations Research,Mechanical Engineering,Energy Engineering and Power Technology

Reference21 articles.

1. R. D. Mindlin, “On the equations of motion of piezoelectric crystals,” in: N. I. Muskilishivili, Problems of continuum Mechanics, 70th Birthday Volume, SIAM, Philadelphia, pp. 282-290, 1961.

2. W. Nowacki, “Some general theorems of thermopiezoelectricity,” Journal of Thermal Stresses,vol. 1, no. 2, pp. 171–182, 1978.

3. W. Nowacki, “Foundation of Linear Piezoelectricity,” H. Parkus, Editor, “Interactions in Elastic Solids, ” Springer, Wein, 1979.

4. W. Nowacki, “Mathematical models of phenomenological piezoelectricity, New Problems in Mechanics of Continua, pp. 29-49, University of Waterloo Press, Waterloo, Ontario, 1983.

5. D. S. Chandrasekharaiah, “A Temperature-rate-dependent theory of thermopiezoelectricity”, J. Thermal Stresses, vol. 7, pp. 293-306, 1984.

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