The paper is devoted to ray type solutions for waves of finite deformation in nonlinear, physically linear elastic media. These waves are generalizations of Bland plane waves for isotropic nonlinear media. For the waves considered, the fast oscillation and slow oscillation parts interact in the process of propagation. The forms of waves change adiabatically. An example of plane waves in inhomogeneous elastic media is considered.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 438, 2015, pp. 118–132.
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Kachalov, A.P. Ray Type Solutions for Waves of Finite Deformation in Physically Linear, Nonlinear Inhomogeneous Elastic Media. J Math Sci 224, 79–89 (2017). https://doi.org/10.1007/s10958-017-3396-2
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DOI: https://doi.org/10.1007/s10958-017-3396-2