Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (1): 27-40.

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ANISOTROPIC PLASTIC FIELDS AT A RAPIDLY PROPAGATING PLANE-STRESS CRACK-TIP

Lin Bai-song   

  1. Central-South University of Technology, Changsha
  • Received:1991-07-01 Online:1993-01-18 Published:1993-01-18

Abstract: Under the condition that all the stress components at a crack-tip are the functions of θ only, making use of the equations of steady-state motion. Hill anisotropic yield condition and stress-strain relations, we obtain the general solution of anisotropic plastic field at a rapidly propagating plane-stress crack-tip. Applying this general solution to four particular cases of anisotropy, the general solutions of these four particular cases are derived. Finally, we give the anisotropic plastic field at the rapidly propagating plane-stress mode I crack-tip in the case of X=Y=Z.

Key words: anisotropic plastic field, crack-tip, plane-stress

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