Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 901-908.

• 论文 • 上一篇    下一篇

STRESS IN TRANSVERSELY ISOTROPIC HALF-SPACE WITH TYPICAL LOADS ACTING ON ITS SURFACE

吴世明1, 梁剑2, 胡亚元3   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, P.R.China;
    2. Department of Mechanics, Zhejiang University, Hangzhou 310027, P.R.China;
    3. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R.China
  • 收稿日期:1999-04-07 出版日期:2000-08-18 发布日期:2000-08-18
  • 通讯作者: DING Hao-jiang

STRESS IN TRANSVERSELY ISOTROPIC HALF-SPACE WITH TYPICAL LOADS ACTING ON ITS SURFACE

WU Shi-ming1, LIANG Jian2, HU Ya-yuan3   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, P.R.China;
    2. Department of Mechanics, Zhejiang University, Hangzhou 310027, P.R.China;
    3. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R.China
  • Received:1999-04-07 Online:2000-08-18 Published:2000-08-18

摘要: Based on the results of Hu and Lekhnitskii, the united solution of additional vertical stress coefficient for both transversely isotropic and isotropic half-space was obtained. Five typical load cases, namely, vertical circular uniform load, rectangular uniform load, linearly distributed rectangular load, uniform linear and strip loads are studied in detail. The final solutions are expressed in terms of elementary functions. Numerical results show that there are anisotropic effects on the variation of additional vertical stress coefficients.

Abstract: Based on the results of Hu and Lekhnitskii, the united solution of additional vertical stress coefficient for both transversely isotropic and isotropic half-space was obtained. Five typical load cases, namely, vertical circular uniform load, rectangular uniform load, linearly distributed rectangular load, uniform linear and strip loads are studied in detail. The final solutions are expressed in terms of elementary functions. Numerical results show that there are anisotropic effects on the variation of additional vertical stress coefficients.

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