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Steady Waves in an Anisotropic Elastic Layer Attached to a Half-Space or Between Two Half-Spaces—A Generalization of Love Waves and Stoneley WavesDivision of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA 94305, USA Steady waves propagating in an anisotropic elastic layer that is attached to an anisotropic elastic half-space is studied. By attached we mean that the interface between the layer and the half-space can be perfectly bonded (b) or in sliding contact (s). The other surface of the layer can be traction-free (F), a rigid surface (R) or a slippery surface (S). We also study steady waves in an anisotropic elastic layer that is attached between two different anisotropic elastic half-spaces. The two interfaces between the layer and the half-spaces can be both perfectly bonded (b/b), one of the interfaces is perfectly bonded while the other is a slippery surface (b/s or s/b) or both interfaces are slippery surfaces (s/s). In the derivation the thickness h of the layer is assumed to be small, and the solution is in the form of an infinite series in the power of h from which an approximate solution can be obtained by keeping the terms up to O(h n) for any n. However, the infinite series has a closed-form expression so that the thickness h of the layer need not be small.
Key Words: steady waves • anisotropic • plates • half-spaces • bonded layer • bimaterials • Love waves • Stoneley waves • slip waves • dispersion equations
Mathematics and Mechanics of Solids, Vol. 14, No. 1-2,
52-71 (2009) |
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