caa a22 4500 475797019 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/PL00001525 doi (NATIONALLICENCE)springer-10.1007/PL00001525 Special inhomogeneous plane waves in cubic elastic materials [Elektronische Daten] [P. Boulanger, M. Hayes] Abstract.: The purpose of this paper is to present new special explicit inhomogeneous plane wave solutions of the linearized equations of motion for elastic cubic crystals. It is based upon the "directional-ellipse” method which leads to an eigenvalue problem for the complex symmetric acoustical tensor. The solutions are obtained by considering a special case for which the determination of the three complex eigenvalues of this tensor reduces to finding the three complex cubic roots of a real positive number. Explicit simple expressions are presented for the slowness and amplitude bivectors. Birkhäuser Verlag, Basel,, 2000 Key words. Cubic crystals, inhomogeneous plane waves, acoustical tensor, slowness bivector, elliptical polarization, acoustic axes nationallicence Boulanger P. Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P.218/1, 1050 Bruxelles, Belgium, BE aut Hayes M. Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland, IE aut https://doi.org/10.1007/PL00001525 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001525 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boulanger P. Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P.218/1, 1050 Bruxelles, Belgium, BE aut NATIONALLICENCE 700 1- Hayes M. Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland, IE aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer