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

Fan Ja-shen

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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.

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.

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

Fan Ja-shen

Yunnan Institute of Technology, Kunming

Received Date: 1983-10-31
Publish Date: 1986-08-15

Abstract

Abstract

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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References(12)

References

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