Fan Ja-shen. Research of Visco-Elastic Type Ⅱ Rupture with Exciting and Attenuation Process[J]. Applied Mathematics and Mechanics, 1986, 7(8): 759-767.
Citation: Fan Ja-shen. Research of Visco-Elastic Type Ⅱ Rupture with Exciting and Attenuation Process[J]. Applied Mathematics and Mechanics, 1986, 7(8): 759-767.

Research of Visco-Elastic Type Ⅱ Rupture with Exciting and Attenuation Process

  • Received Date: 1983-10-31
  • Publish Date: 1986-08-15
  • With non-linear Rayleigh damping formula we describe the exciting process when the rupture velocity is low and the attenuation process w hen the rupture velocity reaches a certain high value, Assuming the medium of the earth crust is homogeneous and isotropic linear Voigt visco-elastic 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 we transform them into non-homogeneous Mathieu equations. At last Mathieu equations are solved by WKBJ method.
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