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The Quarterly Journal of Mechanics and Applied Mathematics 1986 39(1):99-110; doi:10.1093/qjmam/39.1.99
© 1986 by Oxford University Press
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FLEXURAL ELASTIC WAVES IN AN ISOTROPIC INTERNAL STRATUM

E. RHIAN BAYLIS

( Department of Theoretical Mechanics, University of Nottingham NG7 2RD )

This paper examines propagation of waves in a stratum of one isotropic elastic material embedded in an infinite body of another isotropic elastic material. Attention is confined to disturbances which are antisymmetric with respect to the middle plane of the stratum (flexural waves). The dispersion equation relating wave speed to wavelength is derived and solved numerically. Particular attention is paid to the limiting behaviour for short waves and it is found that, in some circumstances, a shear wave can travel in the stratum with exponential decay in the outer material. Otherwise, the short-wave disturbance is a Stoneley wave transmitted along the interfaces between the stratum and outer material.


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