Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes

Fan Ja-shen; Xu Ping

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(5): 689-706

Fan Ja-shen, Xu Ping. Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes[J]. Applied Mathematics and Mechanics, 1982, 3(5): 689-706.

Citation:

Fan Ja-shen, Xu Ping. Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes[J]. Applied Mathematics and Mechanics, 1982, 3(5): 689-706.

Citation:

Fan Ja-shen, Xu Ping. Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes[J]. Applied Mathematics and Mechanics, 1982, 3(5): 689-706.

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Analytic Solutions for a Finite Crack Rupturing with Type-Ⅱ at One Tip with Exciting and Decaying Processes

Fan Ja-shen¹,
Xu Ping²

1.
The Seismological Bureau of Yunnan Province, Kunming;
2.
Geophysics Department, Y unnan University, Kunming

Received Date: 1981-12-25
Publish Date: 1982-10-15

Abstract

Abstract

Under the action of Kayleigh damping, when the shear stress exerts at the boundary of the crack and causes one tip of the crack rupturing with varying velocity. By singular perturbation method, we reduce the governing non-linear partial differential equations into a system of linear ones and solve them by using generalized Fourier series.

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References(12)

References

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