Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (4): 359-367.

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DYNAMIC DISLOCATIONS SOLUTION TO ELASTOPLASTIC MOVING CRACKS

Zhao Zhi-su   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing
  • Received:1987-03-20 Online:1988-04-18 Published:1988-04-18

Abstract: In the range of micro-cosmic, an analogy between linear dislocation arrays and moving cracks is drawn, then elastoplastic moving crack problems are derived by superposition of distribution of dislocations. Various dynamical crack-opened-displacements are derived, which gives an elastoplastic stability criterion of moving cracks. In this paper, modes Ⅰ,Ⅱ,Ⅲ moving crack problems are discussed respectively.

Key words: quasi-Newtonian, stabilized method, power law model, Carreau model, residual-based posterior bound

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