应用数学和力学2012，Vol.33Issue(1)：113-124,12.DOI:10.3879/j.issn.1000-0887.2012.01.009
拉伸偏心椭圆孔板的应力集中系数表达式
Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole
摘要
Abstract
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 expression 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 accurate. 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.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Key words
stress concentration factor/ explicit expression/ eccentric elliptical hole/ central elliptical hole/ finite-width tension strip/ semi-analytical method分类
通用工业技术引用本文复制引用
罗林,向宇,王启智..拉伸偏心椭圆孔板的应力集中系数表达式[J].应用数学和力学,2012,33(1):113-124,12.基金项目
国家自然科学基金资助项目(51179115) （51179115）
