高精度九节点非协调曲边三角形平面应力单元

本文利用1]的方法,构造了一个九节点非协调三角形平面单元.与一般有限元相比可以提高一阶收敛精度,应力可直接在单元节点上得到.形成单刚矩阵时,不需要在单元域内进行数值积分,容易构造曲边单元.文末的算例表明,仅用很少的单元,位移和应力即可获得较高的精度.

High Precision Incompatible Curved Triangle Plane Stress Element with Nine Nodes

In this paper, an incompatible curved triangle plane element is constructed by the method in 1]. Compared with the general finite element, the present element may have heigher first order convergence rate, the stresses can be obtained at nodes of element directly. The numerical integral is not needed in forming element stiffness matrix by the present method. It is easy to constructed curved element. The numerical examples given at the end of this paper indicated that the displacements and stresses have high precision by few elements.