caa a22 4500 397572581 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199608 xx s 000 0 eng 10.1093/qjmam/49.3.451 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.3.451 INHOMOGENEOUS WAVES IN TRANSVERSELY ISOTROPIC SOLIDS [Elektronische Daten] [GIACOMO CAVIGLIA, ANGELO MORRO] Wave propagation in transversely isotropic, uniform, linear, viscoelastic solids is investigated by studying the evolution along the symmetry axis of the stressdisplacement vector as modelled by a system of six ordinary differential equations. Families of six linearly-independent solutions are determined which span the general integral. The independent generators are inhomogeneous waves and are parametrized by the component of the wave vector in the plane of isotropy. The complex valuedness of the wave vector makes the problem three-dimensional. Horizontally and vertically polarized waves are then characterized. The wave solutions are obtained also when the wave propagation is governed by a non-semisimple matrix. As an application, polynomial equations are derived for the determination of free-surface waves and Stoneley waves © Oxford University Press Article nationallicence CAVIGLIA GIACOMO Department of Mathematics, Via Ospedale 72, 09124 Cagliari, Italy, DIBE, Via Opera Pia 11a, 16145 Genova, Italy aut MORRO ANGELO University DIBE, Via Opera Pia 11a, 16145 Genova, Italy aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 451-469 0033-5614 49:3<451 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.3.451 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.3.451 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- CAVIGLIA GIACOMO Department of Mathematics, Via Ospedale 72, 09124 Cagliari, Italy, DIBE, Via Opera Pia 11a, 16145 Genova, Italy aut NATIONALLICENCE 700 1- MORRO ANGELO University DIBE, Via Opera Pia 11a, 16145 Genova, Italy aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 451-469 0033-5614 49:3<451 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford