Hamilton体系下的扩展有限元方法  

Extended finite element method based on Hamilton theory

作　　者：卿光辉[1] 沈雄[1] 

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《中国民航大学学报》2015年第1期59-64,共6页Journal of Civil Aviation University of China

基　　金：中国民航大学科研基金项目(2012kye07)

摘　　要：基于Hamilton体系下的弹性力学理论,推导了扩展有限元法的有关公式。具体计算了含裂纹的等厚度薄板的应力强度因子,数值分析所得结果与精确解进行了比较,证明了本文方法的正确性。本文为扩展有限元研究提供了一种新的数值计算方法,拓展了扩展有限元的基础理论。Based on the elasticity theory of Hamilton system, the corresponding formulae of extended finite element method are derived, and the stress intensity factor of the equal thickness thin plate with crack is calculated. The nume- rical result is compared with the exact solution, verifying the effectiveness of this method. A new numerical app- roach to study the extended finite element is offered, and the basic theory of the extended finite element is ex- panded.

关 键 词：扩展有限元 裂纹 HAMILTON体系 应力强度因子 

分 类 号：O326[理学—一般力学与力学基础]