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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (11): 1063-1070.

• 论文 • 上一篇    下一篇

ELASTOSTATIC SOLUTOINS FOR SEMI-INFINITE ORTHOTROPIC CANT1LEVERED STRIPS

林逸汉   

  1. Department of Applied Mechanics, Fudan University, Shanghai
  • 收稿日期:1992-11-09 出版日期:1993-11-18 发布日期:1993-11-18
  • 通讯作者: Jiang Fu-ru

ELASTOSTATIC SOLUTOINS FOR SEMI-INFINITE ORTHOTROPIC CANT1LEVERED STRIPS

Lin Yi-han   

  1. Department of Applied Mechanics, Fudan University, Shanghai
  • Received:1992-11-09 Online:1993-11-18 Published:1993-11-18

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摘要： The elastostatic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation Φ1yyyy+(2+δ0)Φ1yyxx+Φ1zzzz=0 with δ0 >-4 Based on the work of [10] for δ0>0 case,.this paper completes the case for δ0=0 isotropic materials and the case 0>δ0>-4 for orthotropic materials. The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.

Abstract: The elastostatic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation Φ1yyyy+(2+δ0)Φ1yyxx+Φ1zzzz=0 with δ0 >-4 Based on the work of [10] for δ0>0 case,.this paper completes the case for δ0=0 isotropic materials and the case 0>δ0>-4 for orthotropic materials. The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.

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