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Multiaxial Formulation and Numerical Implementation of a Constitutive Model for the Evaluation of Large Liquefaction-induced Deformation

WANG Rui1,2,ZHANG Jian-min1,2,Gang Wang3(1.State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084,China; 2.School of Civil Engineering,Tsinghua University,Beijing 100084,China; 3.Ertan Hydropower Development Company Limited,Chengdu,Sichuan 610051,China)  
Based on the physics of large post-liquefaction deformation of sand and the related elastic-plastic constitutive model suited for two dimensional stress space,mapping rules for plasticity and dilatancy are formulated in three dimensional stress space,and the three dimensional model for the analysis of post-liquefaction deformation of sand is established.According to the features of the model,for the model's numerical implementation into the open-source finite element platform OpenSees,the semi-explicit Cutting Plane algorithm is used as the stress integration scheme,and the Pegasus algorithm is used to locate the stress projection on the bounding surface.Combined with coupled u-p elements,simulations on an undrained cyclic torsional shear test is conducted,and a three dimensional site response analysis is also performed,the simulation and analysis exhibite the model's great capabilities in simulating small to large deformation in the pre-to post-liquefaction regime of sand.
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