A novel hybrid-stress finite element method is proposed for constructing simple 4-node quadrilateral plane elements,and the new element is denoted as HH4-3β here.Firstly,the theoretical basis of the traditional hybrid-stress elements,i.e.,the Hellinger-Reissner variational principle,is replaced by the Hamilton variational principle,in which the number of the stress variables is reduced from 3 to 2.Secondly,three stress parameters and corresponding trial functions are introduced into the system equations.Thi...
【英文摘要】
A novel hybrid-stress finite element method is proposed for constructing simple 4-node quadrilateral plane elements,and the new element is denoted as HH4-3β here.Firstly,the theoretical basis of the traditional hybrid-stress elements,i.e.,the Hellinger-Reissner variational principle,is replaced by the Hamilton variational principle,in which the number of the stress variables is reduced from 3 to 2.Secondly,three stress parameters and corresponding trial functions are introduced into the system equations.Thi...
【基金】
supported by the National Natural Science Foundation of China (10872108,10876100);
the Program for New Century Excellent Talents in University (NCET-07-0477);
the National Basic Research Program of China (2010CB832701)
【更新日期】
2010-09-28
【分类号】
O302
【正文快照】
1 Introduction Over the past 50 years, the finite element method has been developed into a powerful and widely-used numerical tool in modern designs and simulations for engineering prob- lems [1,2]. In many practical applications, the lower-order element
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