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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (6): 651-658.

• 论文 • 上一篇    下一篇

DYNAMIC STRESS FIELD AROUND THE MODE Ⅲ CRACK TIP IN AN ORTHOTROPIC FUNCTIONALLY GRADED MATERIAL

李春雨1, 邹振祝2, 段祝平3   

  1. 1. Department of Architectural Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, P R China;
    2. Department of Communication Engineering, Shijiazhuang Railway Institute, Shijiazhuang
  • 收稿日期:1999-01-18 修回日期:1999-12-15 出版日期:2000-06-18 发布日期:2000-06-18
  • 基金资助:

    the National Natural Science Foundation of China(19772029);the National Natural Science Key Project Foundation of China(19891180)

DYNAMIC STRESS FIELD AROUND THE MODE Ⅲ CRACK TIP IN AN ORTHOTROPIC FUNCTIONALLY GRADED MATERIAL

Li Chunyu1, Zhou Zhenzhu2, Duan Zhuping3   

  1. 1. Department of Architectural Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, P R China;
    2. Department of Communication Engineering, Shijiazhuang Railway Institute, Shijiazhuang
  • Received:1999-01-18 Revised:1999-12-15 Online:2000-06-18 Published:2000-06-18
  • Supported by:

    the National Natural Science Foundation of China(19772029);the National Natural Science Key Project Foundation of China(19891180)

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摘要： The problem of a Griffith crack in an unbounded orthotropic functionally graded material subjected to antipole shear impact was studied. The shear moduli in two directions of the functionally graded material were assumed to vary proportionately as definite gradient. By using integral transforms and dual integral equations, the local dynamic stress field was obtained. The results of dynamic stress intensity factor show that increasing shear moduli’s gradient of FGM or increasing the shear modulus in direction perpendicular to crack surface can restrain the magnitude of dynamic stress intensity factor.

关键词: anisotropic media, functionally graded materials, dynamic stress intensity factor, crack, impact

Abstract: The problem of a Griffith crack in an unbounded orthotropic functionally graded material subjected to antipole shear impact was studied. The shear moduli in two directions of the functionally graded material were assumed to vary proportionately as definite gradient. By using integral transforms and dual integral equations, the local dynamic stress field was obtained. The results of dynamic stress intensity factor show that increasing shear moduli’s gradient of FGM or increasing the shear modulus in direction perpendicular to crack surface can restrain the magnitude of dynamic stress intensity factor.

Key words: anisotropic media, functionally graded materials, dynamic stress intensity factor, crack, impact

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