弧长法在边坡稳定非线性有限元分析中的应用

在有限元强度折减法的基础上，引入计算结构临界状态荷载值的弧长法进行边坡工程稳定分析。该方法是在迭代过程中调整荷载增量的大小以得到收敛的解，从而在计算时可自动调整土体强度参数的降低程度。最后通过算例验证了本算法的有效可靠性和适应性。并与直接有限元强度折减法计算结果进行比较，结果表明，在边坡稳定非线性有限元分析中，引入弧长法不仅改善了有限元迭代的收敛性，而且还可以更准确地求出边坡安全系数。

Application of arc-length control method to nonlinear finite element analysis of slope stability

Based on the strength reduction technique for nonlinear finite element analysis of slope stability the arc-length control method for calculating the fracture loading of structure and tracking the softening of structure deformation is introduced to improve the calculation. By using this method the deduction degree of soil strength parameter can be automatically adjusted in the process of iteration, so that the false iteration caused by excess reduction of strength can be avoided and the convergence of calculation is accelerated. The calculation result of example in engineering practice show that by using this proposed method the safety factor obtained is more accurate and the convergence of iteration in finite element calculation is improved.