Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (8): 765-772.

• 论文 • 上一篇    下一篇

STRESS-STRAIN FIELD NEAR THE CRACK-TIP OF AN INCOMPRESS RUBBER-LIKE MATERIAL

王振清, 史守峡   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • 收稿日期:1995-06-02 出版日期:1996-08-18 发布日期:1996-08-18
  • 基金资助:
    Project supported by the Natural Science Foundation of the Province of Heilonejiang

STRESS-STRAIN FIELD NEAR THE CRACK-TIP OF AN INCOMPRESS RUBBER-LIKE MATERIAL

Wang Zhenqing, Shi Shouxia   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • Received:1995-06-02 Online:1996-08-18 Published:1996-08-18
  • Supported by:
    Project supported by the Natural Science Foundation of the Province of Heilonejiang

摘要: This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip.field is divided into two narrowing sectors and one expanding seclor. By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations.for each sector of the tip.field. The singularity of the crack-tip field isdiscussed. The curves of stress-strain of foe crack-tip.field.for an incompress rubber-like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.

关键词: rubber-like material, finite-deformation, crack

Abstract: This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip.field is divided into two narrowing sectors and one expanding seclor. By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations.for each sector of the tip.field. The singularity of the crack-tip field isdiscussed. The curves of stress-strain of foe crack-tip.field.for an incompress rubber-like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.

Key words: rubber-like material, finite-deformation, crack

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