Wave Propagation in One-dimensional Inhomogeneous Structures
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It is now well-known that the homogeneous plane wave has the form u = Aej(k·x−ωt), where the wave amplitude A and the wave vector k are real. When A and k become complex numbers, as happens for the linear and dissipative (visco-elastic) system, A decreases with propagating distance and u is called an inhomogeneous wave . Although the inhomogeneous wave is defined in a strict sense for two- or three-dimensional media, the definition can be extended to the one-dimensional situation.
KeywordsDispersion Relation Axial Velocity Transverse Velocity Lamb Wave Spectral Element
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