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Nonlinear Displacement Discontinuity Model for Generalized Rayleigh Wave in Contact Interface  

Kim, No-Hyu (Department of Mechatronic Engineering, Korea University of Technology and Education)
Yang, Seung-Yong (Department of Mechanical Engineering, Korea University of Technology and Education)
Publication Information
Journal of the Korean Society for Nondestructive Testing / v.27, no.6, 2007 , pp. 582-590 More about this Journal
Abstract
Imperfectly jointed interface serves as mechanical waveguide for elastic waves and gives rise to two distinct kinds of guided wave propagating along the interface. Contact acoustic nonlinearity (CAN) is known to plays major role in the generation of these interface waves called generalized Rayleigh waves in non-welded interface. Closed crack is modeled as non-welded interface that has nonlinear discontinuity condition in displacement across its boundary. Mathematical analysis of boundary conditions and wave equation is conducted to investigate the dispersive characteristics of the interface waves. Existence of the generalized Rayleigh wave(interface wave) in nonlinear contact interface is verified in theory where the dispersion equation for the interface wave is formulated and analyzed. It reveals that the interface waves have two distinct modes and that the phase velocity of anti-symmetric wave mode is highly dependent on contact conditions represented by linear and nonlinear dimensionless specific stiffness.
Keywords
Generalized Rayleigh Wave; Contact Nonlinearity; Dispersion; Interface Wave;
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