岩土工程学报2011，Vol.33Issue(8)：1216-1221,6.
加速对称刚度矩阵技术及其在岩土有限元分析中的应用
Accelerated symmetric stiffness matrix technique and its applications in geotechnical finite element analysis
摘要
Abstract
Finite element discretization of non-associated plastic geotechnical problems may result in non-symmetric stiffness matrices,and solving the nonsymmetric linear systems of equations arising from large-scale geotechnical problems may significantly increase the computer memory storage requirement and the computer runtime.Based on the accelerated initial stiffness matrix technique,the accelerated symmetric stiffness matrix techniques are proposed to solve the non-associated plastic geotechnical problems.Furthermore,two acceleration techniques based on the least-square minimization and two approximate symmetric stiffness matrices（i.e.the elastic stiffness matrix Ke and the stiffness matrix KG obtained from an equivalent material with associated plastic flow by mapping the yield surface to the plastic potential surface） are assessed and compared.By using a 2-D cavity expansion example and a 2-D slope example,the accelerated symmetric stiffness matrix techniques and the Newton-Raphson iteration are evaluated and compared,and numerical results show that the accelerated KG techniques possess better computational performances.For example,they only resort to symmetric linear solvers,and have faster convergence rates,and the consumed computer runtime may be less than that of the Newton-Raphson iteration.关键词
非关联塑性流/非对称刚度矩阵/加速对称刚度/初始刚度/最小二乘法/剪切强度折减法Key words
non-associated plastic flow/nonsymmetric stiffness matrix/accelerated symmetric stiffness/initial stiffness/least square method/shear strength reduction method分类
矿业与冶金引用本文复制引用
陈曦,程勇刚..加速对称刚度矩阵技术及其在岩土有限元分析中的应用[J].岩土工程学报,2011,33(8):1216-1221,6.基金项目
教育部留学回国人员科研启动基金资助项目 （）
中央高校基本科研业务费专项资金资助项目 （）
