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应力集中单元
引用本文:吕和祥,刘秀兰.应力集中单元[J].大连理工大学学报,1988(3).
作者姓名:吕和祥  刘秀兰
作者单位:大连理工大学工程力学系 (吕和祥),大连理工大学应用数学系(刘秀兰)
摘    要:本文借助于复变函数方法,以圆孔为例,给出一个八节点的应力集中单元。单元的复应力函数,精确地满足孔边的边界条件,而在单元的外边界上,借助于最小余能原理,在变分意义下满足由节点位移参数表示的位移边界条件。实例表明,这样的单元可以较精确地反映出孔边的应力集中现象,在通用程序中应用该单元计算应力集中是非常有效的.

关 键 词:应力集中  复变函数  有限元分析

Stress Concentration Element
Abstract:By means of the method of complex variable function, taking a circular hole as an example, stress eoncentration element with eight nodes is given. Complex stress functions satisfy the boundary conditions at the side of cir- cular hole of element exactly and the displacement boundary condition at the outside of element in the sence of variation by means of minimum comp- lementary energy. The numerical examples show that the stress concentnation at the boundary of the circular ho1e is given accurately with this element. The calculation of stress concentration with this element is effective in general-purpose computer program.
Keywords:stress concentnation  complex functions theory  finife element analysis
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