Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (5): 749-764.

• Articles • 上一篇    下一篇

ANALYTIC SOLUTIONS FOR A FINITE CRACK RUPTURING WITH TYPE-II AT ONE TIP WITH EXCITING AND DECAYING RPOCESSES

范家参1, 徐平2   

  1. 1. The Seismological Bureau of Yunnan Province;
    2. Yunnan University
  • 收稿日期:1981-12-18 出版日期:1982-09-18 发布日期:1982-09-18
  • 通讯作者: Chien Wei-zang

ANALYTIC SOLUTIONS FOR A FINITE CRACK RUPTURING WITH TYPE-II AT ONE TIP WITH EXCITING AND DECAYING RPOCESSES

Fan Ja-shen1, Xu Ping2   

  1. 1. The Seismological Bureau of Yunnan Province;
    2. Yunnan University
  • Received:1981-12-18 Online:1982-09-18 Published:1982-09-18

摘要: Under the action of Kayleigh damping, when the shear stress exerts at the boundary of the crack and causes one tip of the crack to rupture with varying velocity, by the singular perturbation method[1], we reduce the governing nonlinear partial differential equations to a system of linear ones and solve them by using generalized Fourier series.

关键词: rheological material, dynamic stress, interface debonding, microvoids’ nucleation

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 to rupture with varying velocity, by the singular perturbation method[1], we reduce the governing nonlinear partial differential equations to a system of linear ones and solve them by using generalized Fourier series.

Key words: rheological material, dynamic stress, interface debonding, microvoids’ nucleation

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