Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 208-215.

• 论文 • 上一篇    下一篇

ASYMPTOTIC DYNAMIC SOLUTION TO THE MODE Ⅰ PROPAGATING CRACK-TIP FIELD IN ELASTIC-VISCOPLASTIC MATERIAL

李范春1,2   

  1. 1. Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;
    2. School of Civil Engineering, Harbin Engineering University, Harbin 150001, P.R.China
  • 收稿日期:2001-09-10 修回日期:2002-06-11 出版日期:2003-02-18 发布日期:2003-02-18
  • 通讯作者: HE Ji-huan,Original Member of Editorial Committee,AMM

ASYMPTOTIC DYNAMIC SOLUTION TO THE MODE Ⅰ PROPAGATING CRACK-TIP FIELD IN ELASTIC-VISCOPLASTIC MATERIAL

LI Fan-chun1,2   

  1. 1. Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;
    2. School of Civil Engineering, Harbin Engineering University, Harbin 150001, P.R.China
  • Received:2001-09-10 Revised:2002-06-11 Online:2003-02-18 Published:2003-02-18

摘要: A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems.

Abstract: A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems.

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