多椭圆孔有限大复合材料层板的热弹性分析  

Thermoelasticity Analysis of Finite Composite Laminates Weakened by Multiple Elliptical Holes

作　　者：许希武[1] 孙良新[1] 范绪箕[1] 

机构地区：[1]南京航空航天大学飞行器系

出　　处：《应用数学和力学》1995年第3期245-254,共10页Applied Mathematics and Mechanics

基　　金：航空科学基金

摘　　要：本文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、Ｆａｂｅｒ级数展开以及最小二乘边界配置技术为工具，导出了内边界条件精确满足，外边界条件近似满足的多椭圆孔复合材料层板的热传导以及热弹性问题的级数解。详细探讨了层板大小，孔径，相对孔距，孔的设置方式，椭圆度以及层板的铺层比例诸参数的影响规律，得到了一些有益结论。A finite composite laminate weakened by multiple elliptical holes of arbitrary distribution, arbitrary orientation and arbitrary dimension, is treated as an ani-sotropic, finite,multiple connected thin plate. Using the complex potential method in plane theory of heat conduction and elasticity of an anisotropic body,the ana-lytical solution of a finite composite laminates subjected to arbitrary mechanical and thermal loads with multiple elliptical holes is obtained by means of the Fa-ber series expansion, mapping and the least square boundary collocation technique.The effects of some parameters on the thermostress distribution are studied in de-tail.Some conclusions are drawn.

关 键 词：复合材料 层板 热弹性 应力集中 

分 类 号：O343.6[理学—固体力学]