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

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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

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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