Kamotskii, IV; Kiselev, AP; (2009) An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. Journal of Applied Mathematics and Mechanics , 73 (4) 464 - 470. 10.1016/j.jappmathmech.2009.08.003.
Full text not available from this repository.
An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism. © 2009 Elsevier Ltd. All rights reserved.
|Title:||An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
Archive Staff Only: edit this record