| 纪振义.一个新的八节点非协调曲边四边形平面单元[J].计算力学学报,1991,8(4): |
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| 一个新的八节点非协调曲边四边形平面单元 |
| A New Incompatible Curved Quadrilateral Plane Element with Eight Nodes |
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| DOI：10.7511/jslx19914058 |
| 中文关键词: 八节点,非协调,曲边四边形,平面单元 |
| 英文关键词:eight nodes,incompatible,curved quadrilateral,plane element |
| 基金项目: |
| 纪振义 |
| 安徽建筑工业学院建工系 |
| 摘要点击次数: 1644 |
| 全文下载次数: 0 |
| 中文摘要: |
| 本文在文[1]和文[2]的基础上,提出构造非协调有限元的新方法。该方法不用一般的变分原理,可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。与一般有限元相比,位移和应力可提高一阶收敛精度。形成单刚矩阵时,不需要进行数值积分。单元之间的协调条件容易满足,文中给出收敛性证明。文末给出数值算例,表明利用本文的方法,应力和位移均可获得满意的数值精度。 |
| 英文摘要: |
| In this paper, a new method for constructing incompatible finite element is presented on the basis [1] and [2] . It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.By the present method, a new incompatible curved quadrilateral plane element with eight nodes is obtained. Compared with the general finite element, the present element may heighten first order convergence rate. The numerical integral is not needed in forming element stiffness matrix by the present method. The ccmpatibility condition between elements can be treated very easily. Its convergence is proved in this paper. The numerical exanples arc giver, at the end ef this paptr, which indicated that the displacements and stresses have satisfactory numerical precision. |
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