航空学报 > 1993, Vol. 14 Issue (7): 348-354

含双孔各向异性板的热应力集中

许希武, 樊蔚勋   

  1. 南京航空航天大学飞机系,南京 210016
  • 收稿日期:1991-10-04 修回日期:1992-11-21 出版日期:1993-07-25 发布日期:1993-07-25

THERMOSTRESS CONCENTRATION OF AN ANISOTROPIC PLATE CONTAINING TWO HOLES

Xu Xi-wu, Fan Wei-xun   

  1. Department of Aircraft Engineering, Nanjing University of Aeronautics, and Astronautics, Nanjing, 210016
  • Received:1991-10-04 Revised:1992-11-21 Online:1993-07-25 Published:1993-07-25

摘要: 利用各向异性体平面热传导、热弹性理论中的复势方法,以保角映射和Faber级数为工具,导出了含双椭圆孔各向异性板热传导、热弹性的第一、二类边值问题的级数解,详细探讨了物理参数、几何参数对热应力集中的影响规律。

关键词: 各向异性板, 应力集中, 热应力

Abstract: Using Faber series expansion technique and the method of three complex potential function in the plane theory of thermoelasticity of an anisotropic body, the general step to de-duce the thermostress concentration in an anisotropic plate weakened by two elliptical holes subjected to arbitrary mechanical and thermal loads is obtained. Numerical results show that the method is very effective. Compared with finite element technique, the method in this paper presents a lot of advantages, especially in discussing effects of various design parameters. These cffects on thermostress concentration are studied in detail and many important conclusions are drawn.

Key words: anisotropic plate, stress concentration, thermostress