The existence of waves propagating along the edge of an elastic wedge has been established by many authors by physically rigorous arguments on the base of numerical computations. A mathematically rigorous proof for a wedge with aperture angle less than π/2 was presented by I. Kamotskii. We supplement the I. Kamotskii result and prove the existence of fundamental modes for some range of aperture angles greater than π/2. Bibliography: 7 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 380, 2010, pp. 45–52.
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Zavorokhin, G.L., Nazarov, A.I. On elastic waves in a wedge. J Math Sci 175, 646–650 (2011). https://doi.org/10.1007/s10958-011-0380-0
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DOI: https://doi.org/10.1007/s10958-011-0380-0