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Research Papers

Gap Surface Waves in a System of Two Elastic Superconducting Semispaces Separated by a Narrow Gap

[+] Author and Article Information
K. Ghazaryan, R. Ghazaryan

 Institute of Mechanics Yerevan, Armenia

O. Hachkevych

 Pidstryhach Institute of Applied Problems of Mechanics and Mathematics Lviv, Ukraine

P. Marzocca

 Clarkson UniversityPotsdam, NY

J. Appl. Mech 78(6), 061010 (Aug 25, 2011) (6 pages) doi:10.1115/1.4004427 History: Received November 01, 2009; Revised March 03, 2011; Posted June 16, 2011; Published August 25, 2011; Online August 25, 2011

This paper deals with the magnetoelastic interactions for a structure consisting of two elastic current carrying superconducting substrates, separated by a gap (vacuum). The two elastic substrates, which have no acoustic contacts, are coupled by a magnetic field generated by the deformations of the substrates. The surface magnetoelastic waves of Rayleigh type, decaying exponentially with distance from substrates surfaces, are studied. For a plane harmonic wave the dispersion equation is derived and solved to obtain the coupled wave frequencies. The magnetomechanical coupling effects are investigated in detail and simulations show that the magnetoelastic coupling effect is quite significant when the gap relative thickness is rather small. The existence of two surface gap waves with two different velocities is shown. In superconducting media the constitutive relations of magnetic field and electrical current of primary nondeformed state are given by means of London’s equations.

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Copyright © 2011 by American Association of Physics Teachers
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Grahic Jump Location
Figure 1

Two elastic current carrying superconducting substrates separated by a gap

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