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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 被引量:2
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作者 包劲青 杨强 +1 位作者 陈英儒 张小寒 《水利学报》 EI CSCD 北大核心 2009年第5期589-595,共7页
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... 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1.0GBytes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。 展开更多
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
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Application of SSOR-PCGM with improved iteration format in FEM simulation of massive concrete 被引量:1
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作者 Lin HAN Zi-ming ZHANG Zhi-qiang NI 《Water Science and Engineering》 EI CAS 2011年第3期317-328,共12页
In this study, for the purpose of improving the efficiency and accuracy of numerical simulation of massive concrete, the symmetric successive over relaxation-preconditioned conjugate gradient method (SSOR-PCGM) with... In this study, for the purpose of improving the efficiency and accuracy of numerical simulation of massive concrete, the symmetric successive over relaxation-preconditioned conjugate gradient method (SSOR-PCGM) with an improved iteration format was derived and applied to solution of large sparse symmetric positive definite linear equations in the computational process of the finite element analysis. A three-dimensional simulation program for massive concrete was developed based on SSOR-PCGM with an improved iteration format. Then, the programs based on the direct method and SSOR-PCGM with an improved iteration format were used for computation of the Guandi roller compacted concrete (RCC) gravity dam and an elastic cube under free expansion. The comparison and analysis of the computational results show that SSOR-PCGM with the improved iteration format occupies much less physical memory and can solve larger-scale problems with much less computing time and flexible control of accuracy. 展开更多
关键词 massive concrete symmetric successive over relaxation-preconditioned conjugate gradient method (SSOR-PCGM) improved iteration Jbrmat .finite element method (FEM) numerical simulation
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