TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - nicht begutachtet (unreviewed) A1 - Sokolova, Elena A1 - Kovalev, Alexander A1 - Maznev, Alexei A. T1 - Acoustic waves guided by the intersection of a surface and an interface of two elastic media T2 - Wave Motion Y1 - 2012 U6 - https://dx.doi.org/10.1016/j.wavemoti.2011.12.003 DO - https://dx.doi.org/10.1016/j.wavemoti.2011.12.003 VL - 49 IS - 2 SP - 388 EP - 393 ER - TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - nicht begutachtet (unreviewed) A1 - Sokolova, Elena A1 - Kovalev, Alexander A1 - Timler, Reinhold T1 - On the dispersion of wedge acoustic waves T2 - Wave Motion Y1 - 2012 SN - 0165-2125 SS - 0165-2125 U6 - https://dx.doi.org/10.1016/j.wavemoti.2012.08.015 DO - https://dx.doi.org/10.1016/j.wavemoti.2012.08.015 VL - 50 IS - 2 SP - 233 EP - 245 ER - TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) A1 - Sokolova, Elena A1 - Kovalev, Alexander A1 - Mayer, Andreas T1 - Second-order nonlinearity of wedge acoustic waves in anisotropic media JF - Wave motion : an international journal reporting research on wave phenomena N2 - Guided acoustic waves localised at the apex of an infinite elastic wedge are influenced by second-order nonlinearity. This gives rise to a nonlinear term in the integro-differential equation describing waveform evolution at the apex of the wedge. Y1 - 2012 UR - http://www.sciencedirect.com/science/article/pii/S0165212512001138# SN - 0165-2125 SS - 0165-2125 VL - 50 IS - 2 SP - 246 EP - 252 ER - TY - CHAP U1 - Buchbeitrag A1 - Pupyrev, Pavel Dmitrievich A1 - Lomonosov, Alexey M. A1 - Sokolova, Elena A1 - Kovalev, Alexander A1 - Mayer, Andreas ED - Altenbach, Holm ED - Pouget, Joël ED - Rousseau, Martine ED - Collet, Bernard ED - Michelitsch, Thomas T1 - Nonlinear Acoustic Wedge Waves T2 - Generalized Models and Non-classical Approaches in Complex Materials 2 (Advanced Structured Materials : STRUCTMAT) N2 - Among the various types of guided acoustic waves, acoustic wedge waves are non-diffractive and non-dispersive. Both properties make them susceptible to nonlinear effects. Investigations have recently been focused on effects of second-order nonlinearity in connection with anisotropy. The current status of these investigations is reviewed in the context of earlier work on nonlinear properties of two-dimensional guided acoustic waves, in particular surface waves. The role of weak dispersion, leading to solitary waves, is also discussed. For anti-symmetric flexural wedge waves propagating in isotropic media or in anisotropic media with reflection symmetry with respect to the wedge’s mid-plane, an evolution equation is derived that accounts for an effective third-order nonlinearity of acoustic wedge waves. For the kernel functions occurring in the nonlinear terms of this equation, expressions in terms of overlap integrals with Laguerre functions are provided, which allow for their quantitative numerical evaluation. First numerical results for the efficiency of third-harmonic generation of flexural wedge waves are presented. Y1 - 2018 SN - 1869-8441 SS - 1869-8441 SN - 978-3-319-77503-6 SB - 978-3-319-77503-6 U6 - https://dx.doi.org/10.1007/978-3-319-77504-3_8 DO - https://dx.doi.org/10.1007/978-3-319-77504-3_8 VL - 90 SP - 161 EP - 184 PB - Springer CY - Cham ER - TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) A1 - Pupyrev, Pavel Dmitrievich A1 - Nedospasov, Ilya A1 - Sokolova, Elena A1 - Mayer, Andreas T1 - Surface acoustic waves confined to a soft layer between two stiff elastic quarter-spaces JF - Wave Motion N2 - Propagation of acoustic waves is considered in a system consisting of two stiff quarter-spaces connected by a planar soft layer. The two quarter-spaces and the layer form a half-space with a planar surface. In a numerical study, surface waves have been found and analyzed in this system with displacements that are localized not only at the surface, but also in the soft layer. In addition to the semi-analytical finite element method, an alternative approach based on an expansion of the displacement field in a double series of Laguerre functions and Legendre polynomials has been applied. It is shown that a number of branches of the mode spectrum can be interpreted and remarkably well described by perturbation theory, where the zero-order modes are the wedge waves guided at a rectangular edge of the stiff quarter-spaces or waves guided at the edge of a soft plate with rigid surfaces. For elastic moduli and densities corresponding to the material combination PMMA–silicone–PMMA, at least one of the branches in the dispersion relation of surface waves trapped in the soft layer exhibits a zero-group velocity point. Potential applications of these 1D guided surface waves in non-destructive evaluation are discussed. Y1 - 2021 SN - 0165-2125 SS - 0165-2125 U6 - https://dx.doi.org/10.1016/j.wavemoti.2020.102672 DO - https://dx.doi.org/10.1016/j.wavemoti.2020.102672 N1 - Der Artikel ist seit 02.11.2020 online verfügbar. VL - 101 SP - 102672-1 EP - 102672-6 PB - ScienceDirect ER -