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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1075-1082.

• 论文 • 上一篇    

ELASTIC-VISCOPLASTIC FIELDS NEAR THE TIP OF A PROPAGATING CRACK UNDER ANTI-PLANE SHEAR

李范春1, 赵文胜2, 汤龙生2   

  1. 1. Marine Engineering College, Dalian Maritime University, Dalian 116026, P. R. China;
    2. The 31th Institute of CASIC, Beijing 100071, P. R. China
  • 收稿日期:2002-10-22 修回日期:2004-06-18 出版日期:2004-09-18 发布日期:2004-09-18

ELASTIC-VISCOPLASTIC FIELDS NEAR THE TIP OF A PROPAGATING CRACK UNDER ANTI-PLANE SHEAR

LI Fan-chun1, ZHAO Wen-sheng2, TANG Long-sheng2   

  1. 1. Marine Engineering College, Dalian Maritime University, Dalian 116026, P. R. China;
    2. The 31th Institute of CASIC, Beijing 100071, P. R. China
  • Received:2002-10-22 Revised:2004-06-18 Online:2004-09-18 Published:2004-09-18

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摘要： The elastic-viscoplastic model proposed by Bingham was used to analyse the stress and strain surrounding the tip of a propagating crack under antiplane shear.The proper displacement pattern was given;the asymptotic equations were derived and solved numerically.The analysis and calculation show that for smaller viscosity the crack-tip possesses logarthmic singularity,and for larger viscosity it possesses power-law singularity.In critical case,the two kinds of singularity are consistent with each other.The result revealed the important role of viscosity for crack-tip field.

关键词: crack-tip field, dynamic propagating, viscoplastic

Abstract: The elastic-viscoplastic model proposed by Bingham was used to analyse the stress and strain surrounding the tip of a propagating crack under antiplane shear.The proper displacement pattern was given;the asymptotic equations were derived and solved numerically.The analysis and calculation show that for smaller viscosity the crack-tip possesses logarthmic singularity,and for larger viscosity it possesses power-law singularity.In critical case,the two kinds of singularity are consistent with each other.The result revealed the important role of viscosity for crack-tip field.

Key words: crack-tip field, dynamic propagating, viscoplastic

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