| 包劲青,杨强,陈英儒,张小寒.对称超松弛预处理共轭梯度法在高拱坝整体大规模弹塑性有限元分析中的应用[J].水利学报,2009,40(5): |
| 对称超松弛预处理共轭梯度法在高拱坝整体大规模弹塑性有限元分析中的应用 |
| Application of symmetric successive over relaxation precondition conjugate method to large scale elasto plastic FEM analysis for high arch dams |
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| DOI： |
| 中文关键词: 拱坝 弹塑性有限元计算 共轭梯度法 对称超松弛预处理 |
| 英文关键词: arch dam D P yield criteria elasto plastic FEM analysis conjugate gradient method symmetric successive over relaxation precondition |
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| 中文摘要: |
| 本文在岩土材料常用的D P准则本构积分特性的基础上，利用其数值分析时不用形成弹塑性刚度矩阵的特点，将对称超松弛预处理共轭梯度法(SSOR PCG)应用于高拱坝整体大规模弹塑性分析。两个数值实例验证了SSOR PCG方法用于弹塑性有限元计算的正确性和可行性。实际应用表明，该方法在内存10GBytes的个人计算机上可以实现达1百万个计算自由度的三维高拱坝整体大规模弹塑性有限元分析。与直接方法相比，无论在计算规模还是计算速度，预处理共轭梯度法更适宜于大规模弹塑性有限元分析。 |
| 英文摘要: |
| Symmetric successive over relaxation precondition conjugate method(SSOR_PCG) is applied to large scale elasto_plastic finite element analysis for high arch dam, based on the introduction of an analytical method for the numerical integration of usually used D_D yield criteria in geo_materials, where the characteristics of not forming elasto_plastic stiffness matrix is adopted. The validity and feasibility of this method is verified by two numerical examples. The application shows that the FEM analysis with 10×105 degrees of freedom for high arch dams can be carried out in a personal computer with physical memory 1.0G Byte only. Comparing with the computation by means of direct solution, the proposed method is obviously more suitable for large scale elasto plastic FEM analysis both from the view points of computation speed and computation scale. |
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