中文摘要：

一个新奇混合压力的有限元素方法为构造简单 4 节点被建议四边的飞机元素，和新元素作为这里的 HH4-3 尾被表示。第一，传统的混合压力的元素的理论基础，即， Hellinger 鈥揜e issner 变化原则，被哈密尔顿代替变化原则，压力变量的数字从 3 ～ 2 在被减少。第二，三个压力参数和相应试用函数被介绍进系统方程。第三，常规双线性的 isoparametric 元素的排水量领域在新模型被采用。从静止条件，最后，压力参数能以排水量参数被表示，并且因此，新元素僵硬矩阵能被获得。自从在哈密尔顿的压力变量的要求的数字，变化原则是不到那在 Hellinger 鈥揜e issner，变化原则，和没有另外的不兼容的排水量模式被考虑，新混合压力的元素比传统的简单。而且，以便改进压力溶液的精确性，二个提高的 processing 以后计划也为元素 HH4-3 尾被建议。数字例子证明建议模型在排水量和压力答案展出大改进，暗示建议技术是为开发有高效的简单有限元素模型的一个有效方法。关键词有限元素 - 混合压力的元素 - 哈密尔顿变化原则 -processing 以后计划工程被中国的国家自然科学基础支持(10872108， 10876100 ) ，为大学(NCET-07-0477 ) 里的新世纪优秀才能的节目，和国家基本研究中国(2010CB832701 ) 编程序。

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 HH4-3fl 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. Thirdly, the displacement fields of the conventional bilinear isoparametric element are employed in the new models. Finally, from the stationary condition, the stress parameters can be expressed in terms of the displacement parameters, and thus the new element stiffness matrices can be obtained. Since the required number of stress variables in the Hamilton variational principle is less than that in the Hellinger-Reissner variational principle, and no additional incompatible displacement modes are considered, the new hybrid-stress element is simpler than the traditional ones. Furthermore, in order to improve the accuracy of the stress solutions, two enhanced post-processing schemes are also proposed for element HH4-3β. Numerical examples show that the proposed model exhibits great improvements in both displacement and stress solutions, implying that the proposed technique is an effective way for developing simple finite element models with high performance.