管德清,颜国良,汪广海.焊接结构应力场计算中的一类五面体可变节点等参单元[J].计算力学学报,1994,11(1): |
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焊接结构应力场计算中的一类五面体可变节点等参单元 |
A Triangular prism variable Nodes Isoparameter Element; for Calculation of Stress Field in Welded Structure |
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DOI:10.7511/jslx19941014 |
中文关键词: 五面体,可变节点,形函数,单元刚度矩阵,焊接结构 |
英文关键词:triangular prism,variable nodes,shape function,stiffness matrix of element,welded structure |
基金项目: |
管德清 颜国良 汪广海 |
长沙水利电力师范学院力学教研室,中国船舶科学研究中心 |
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中文摘要: |
本文应用三维有限元理论,构造了一类五面体6~15节点等参单元的形函数,提出了在五面体单元内的Gauss积分处理方法,建立了相应的单元刚度矩阵。这类单元的节点可以在6~15之间任意选择。将其与SAP5中的六面体8~21节点等参单元匹配,计算了对接板接头的理论应力集中系数。经与有关文献结果比较表明:这类单元适合于计算焊接结构的应力场,并且具有良好的精度。 |
英文摘要: |
The shape functions and stiffness matrixes of the tfiangular prism isoparameter elements( 6 to 15 nodes )are developed in this paper from 3-D finite element theories,This nodes ofthe elements are variable and arbitrary.A calculating method for Gauss integral in triangularprism are presented.The stress concentration factors of plate welded joints have been calcu-lated by the triangular prism isoparameter elements and hexahedron isoparameter elements(8 to 21 nodes)in SAP5. It is shown that the stress field of welded structure can be calculat-ed by the two types of elements and the results have high accuracy from the calculation inthis paper. |
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