摘要
基于新的泛函、合理的变量假设及应变正交化，提出了称之为精化杂交 元的方法。精化杂交法可以使单元的应变能按假定的应变模式分解，由此得 到相应的分解的单元刚度矩阵，而且常常可以推出显式。精化杂交法有效地 提高了杂交应力元或广义杂交元的精度和计算效率。所建立的平面四边形精 化杂交元，可以作为对著名的Ｐｉａｎ单元的改进。算例表明，所建立的四边形 单元较已有的各类平面四边形单元具有更高的精度和计算效率。
Based on a new functional and by choosing a rational interpolation of field variables and by using the orthogonal approach, the so-called refined hybrid element method is presented. By this way the element stiffness matrix can be decomposed into a series of matrices with respect to assumed strain modes. The present method can be adopted for improving computational efficiency and accuracy of the stress hybrid element and the generalized hybrid element. A new refined hybrid quadrilateral plane element is presented for improving the Pian element. Several numerical examples are given to show that the performance of the present element is better than that of other quadrilateral plane elements.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1992年第5期510-519,共10页
Journal of Dalian University of Technology
基金
高等学校博士学科点专项科研基金资助项目
关键词
杂交有限元
精化杂交元
平面四边形
hybrid finite elements/hybrid stress element
generalized hybrid element
refined hybrid element
refined quadrilateral plane element
Pian element
