广义杂交/混合有限单元

A GENERALIZED HYBRID/MIXED FINITE ELEMENT

应用新的具有三类独立自变函数的弹性力学广义变分原理,首次给出了它的一种放松了连续性要求的修正形式,基于此修正形式,建立了一个广义杂交/混合单元模式。平面问题算例证明,此单元具有列式简单、收敛速度快、计算精度高、易于克服自锁定和寄生零能模态、对不规则网格划分和应力集中问题性质稳定等优点。为新型广义变分原理的应用,作了有效的尝试,也为新原理的建立提供了有力的支持。

This paper presents a modified form of relaxing the reqirement of continuity by use of the new generalized variational principle of elasticity with three kinds of independent variables.A generalized hybrid/mixed element has developed based upon the modified form.Plane problem has proved that the new element has many advantages,such as favorable convergence,high accuracy,being suitable for irregular mesh and stress intensive problems,and easy to eliminate kinematic deformation modes and avoid locking phenomenon.This also powerfully supports the establishmemt of the new generalized variational principle.