An integral representation of the surface-impedance tensor for incompressible elastic materials |
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Authors: | Email author" target="_blank">Y?B?FuEmail author |
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Institution: | (1) Department of Mathematics, Keele University, Staffordshire, ST5 5BG, UK |
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Abstract: | A fundamental result in anisotropic elasticity and surface-wave theory is the integral representation for the surface-impedance
tensor first derived by Barnett and Lothe in 1973. However, this representation is only valid for compressible materials but
not valid for incompressible materials. In this paper the corresponding integral representation for the surface-impedance
tensor valid for incompressible materials is derived and is used to establish the uniqueness of surface-wave speed and to
obtain an expression for the tensor Green's function for the infinite space.
Mathematics subject classifications (2000) 74B05, 74B15, 74B20, 74J15 |
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Keywords: | Stroh formalism surface-impedance tensor surface waves Green's function |
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