@article{MayerPupyrevLomonosovetal.2016,
  author    = {Andreas Mayer and Pavel Dmitrievich Pupyrev and Alexey M. Lomonosov and Aleksandar Nikodijevic},
  title     = {On the existence of guided acoustic waves at rectangular anisotropic edges},
  series   = {Ultrasonics},
  volume    = {71},
  doi       = {10.1016/j.ultras.2016.06.016},
  pages     = {278 -- 287},
  year      = {2016},
  abstract  = {The existence of acoustic waves with displacements localized at the tip of an isotropic elastic wedge was rigorously proven by Kamotskii, Zavorokhin and Nazarov. This proof, which is based on a variational approach, is extended to rectangular anisotropic wedges. For two high-symmetry configurations of rectangular edges in elastic media with tetragonal symmetry, a criterion is derived that allows identifying the boundary between the regions of existence for wedge modes of even and odd symmetry in regions of parameter space, where even- and odd-symmetry modes do not exist simultaneously. Furthermore, rectangular edges with non-equivalent surfaces are analyzed, and it is shown that at rectangular edges of cubic elastic media with one (110) surface and one (001) surface, a tip-localized guided wave always exists, apart from special cases that are characterized.},
  language  = {en}
}