An Zhi-Wu et al 2009 Chinese Phys. Lett. 26 114302 doi:10.1088/0256-307X/26/11/114302
An Zhi-Wu1, Wang Xiao-Min1, Li Ming-Xuan1, Deng Ming-Xi2 and Mao Jie1
Show affiliationsBased on the exact solutions for the second-harmonic generations of the fundamental longitudinal and transverse waves propagating normally through a thin elastic layer between two solids, the approximate representations termed as 'nonlinear spring models' relating the stresses and displacements on both sides of the interface are rigorously developed by asymptotic expansions of the wave fields for an elastic layer in the limit of small thickness to wavelength ratio. The applicability for the so-called nonlinear spring models is numerically analyzed by comparison with exact solutions for the second harmonic wave reflections. The present nonlinear spring models lay a theoretical foundation to evaluate the interfacial properties by nonlinear acoustic waves.
43.25.Dc Nonlinear acoustics of solids
68.35.Iv Acoustical properties
43.25.Jh Reflection, refraction, interference, scattering, and diffraction of intense sound waves
Issue 11 (November 2009)
Received 23 June 2009
An Zhi-Wu et al 2009 Chinese Phys. Lett. 26 114302
S Zh Karazhanov et al 2009 J. Phys.: Condens. Matter 21 485801
S Webb 2003 Phys. Med. Biol. 48 2051
Holly R. Gilbert et al. 2002 ApJ 577 464
Samir D Mathur 2009 Class. Quantum Grav. 26 224001
J. A. L. Aguerri et al. 2005 The Astronomical Journal 130 475
Hernán Larralde and George H Weiss 2003 J. Phys. A: Math. Gen. 36 8367
Wang Hong et al 2005 Chinese Phys. Lett. 22 2980
I L Landau and H R Ott 2002 J. Phys.: Condens. Matter 14 L313
Tomaso Aste and David Sherrington 1999 J. Phys. A: Math. Gen. 32 7049