摘要
先用半解析半经验的方法推导出拉伸中心椭圆孔有限宽板应力集中系数的显式表达式.将其计算结果和Durelli的光弹性实验结果、Isida公式以及有限元分析结果比较可知,新推导公式的精度较高,且适用范围更广.再用类似的方法推导出拉伸偏心椭圆孔板应力集中系数的显式表达式.经与Isida的公式和有限元分析结果比较可知,该公式适用范围更广、精度更高.当偏心距在一定范围内,误差小于8%.根据应力集中系数与应力强度因子的关系,由已得到的应力集中系数得出拉伸中心裂纹有限宽板和拉伸偏心裂纹板的应力强度因子.经与已有公式以及有限元分析结果比较可知,该应力强度因子表达式也有足够的精度.
First, an explicit stress concentration factor expression for a tension finite-width strip with a central elliptical hole was formulated by using a semi-analytical and semi-empirical method. Comparing the results from this expression with those from Durelli＇ s photo-elastic experiment, Isida＇ s formula and finite element analysis, its accuracy was proved to be adequate and its application scope was wider. Then another explicit stress concentration factor expres- sion for a tension strip with an eccentric elliptical hole was also obtained by using the similar method. Comparing results from the expression with the ones from Isida＇ s formula and finite element analysis, it is shown that this formula is with a wider application scope and more accu- rate. And when the eccentricity of elliptical hole was in a certain range, the error is less than 8%. Based on the relation between stress concentration central and stress intensity factor, a stress intensity factor expression for tension strips with a center or an eccentric crack was derived with the obtained stress concentration factor expressions. Compared with existing formulae and finite element analysis, this stress intensity factor expression is also with sufficient accuracy.
出处
《应用数学和力学》
CSCD
北大核心
2012年第1期113-124,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(51179115)
关键词
应力集中系数
显式表达式
偏心椭圆孔
中心椭圆孔
拉伸有限宽板
半解析法
stress concentration factor
explicit expression
eccentric elliptical hole
centralelliptical hole
finite-width tension strip
semi-analytical method
