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砂土液化变形的有限元-无网格耦合方法
引用本文:荚颖,唐小微,栾茂田.砂土液化变形的有限元-无网格耦合方法[J].岩土力学,2010,31(8):2643-2647.
作者姓名:荚颖  唐小微  栾茂田
作者单位:1. 燕山大学 建筑工程与力学学院, 河北 秦皇岛 066004; 2. 大连理工大学 土木水利学院岩土工程研究所, 辽宁 大连 116024
基金项目:国家自然科学基金,国家自然科学基金 
摘    要:通过构造Biot固结理论u-p方程的无网格伽辽金-有限元耦合方法,对砂土液化变形问题进行了数值模拟。对于饱和砂土,采用Oka等提出的弹塑性本构模型,同时采用更新的Lagrange计算格式推导了控制方程。耦合方法能够发挥有限元和无网格各自的优点,既避免了由于单元变形扭曲而引起的计算中断,也可节约计算时间,算例验证了该方法在地震液化问题中的有效性。

关 键 词:有限元  无网格法  耦合  伽辽金法  
收稿时间:2008-09-24

Finite-element free Galerkin coupling method for sand liquefaction-induced deformation
JIE Ying,TANG Xiao-wei,LUAN Mao-tian.Finite-element free Galerkin coupling method for sand liquefaction-induced deformation[J].Rock and Soil Mechanics,2010,31(8):2643-2647.
Authors:JIE Ying  TANG Xiao-wei  LUAN Mao-tian
Institution:1. School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, China; 2. School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
Abstract:Through the constructing of the finite element-element free Galerkin coupling method of Biot’s two phase mixture theory in u-p formulation, the numerical simulation for liquefaction problem is carried out. The cyclic elastoplastic constitutive model and updated Lagrange formulation are jointly adopted to establish the governing equations. The coupling method can avoid computation break caused by element distortion when using finite element method and save computation time. A numerical example shows that the method for liquefaction analysis is feasible and effective.
Keywords:finite elements  elements free method  coupling  Galerkin method
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