Abstract
With non-linear Rayleigh damping formula we describe the exciting process when the rupture velocity is low and the attenuation process when the rupture velocity reaches a certain high value. Assuming the medium of the earth crust is homogeneous and isotropic linear Voigt viscoelastic body, with small parameter perturbation method to deduce the non-linear governing partial differential equations into a system of asymptotic linear ones, we solve them by means of generalized fourier series with moving coordinates as its variables, thus transform them into non-homogeneous mathieu equations. At last Mathieu equations are solved by WKBJ method.
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Ja-shen, F. Research of visco-elastic type II rupture with exciting and attenuation process. Appl Math Mech 7, 815–823 (1986). https://doi.org/10.1007/BF01900615
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DOI: https://doi.org/10.1007/BF01900615