【摘要】 在结构有限元分析中 ,对于利用数值积分的曲边单元 ,经验表明在高斯积分点上算得的应力具有最好的精度。然而 ,工程上通常感兴趣的是边缘和结点上的应力。一般地 ,单元角结点应力可由现成公式求解 ,而单元边中结点应力则取相邻角结点应力的平均值。为了拓展这种方法 ,本文推出直接通过高斯积分点应力求解单元上任意结点处应力的公式 ,并通过算例表明其有效性和准确性更多还原

【Abstract】 In structural analysis by finite element method, experience shows that the stress at Gauss integral points posses the best precision for curve element using numerical value integral. Nevertheless, in the engineering we are generally interested in the stress on the edge or at the nodes. Generally, the stress at the corner nodes of an element can be solved by the ready-made formula, and the stress at the middle nodes on the edge is equal to the average of the neighboring stress at the corner nodes. To extend the method, the paper provides the formula that can be used to solve any node stress by Gauss integral points, and it shows the effectiveness and precision of the method by use of examples.更多还原