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| Finite difference method of a twin shear unified bounding surface plasticity model and its numerical validation |
| KANG Xiaosen1,LIAO Hongjian2,HUANG Qiangbing1,WANG Zuochen1,MA Zongyuan3 |
| (1. Department of Geological Engineering,Chang?an University,Xi?an,Shaanxi 710054,China;2. Department of Civil Engineering,Xi?an Jiaotong University,Xi?an,Shaanxi 710049,China;3. Institute of Geotechnical Engineering,Xi?an University of Technology,Xi?an,Shaanxi 710048,China)
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Abstract The twin shear unified bounding surface plasticity model(BUST model) can capture the plastic strain accumulation of geomaterials in small deviatoric stress state,which can?t be well predicted by classical twin shear unified elastoplastic constitutive model(UST model). To apply the BUST model in analyzing static and dynamic response of slopes or landslides,its finite difference format is formulated and compiled,and its reliability is further analyzed using numerical simulation. Firstly,the finite difference format of the BUST model is formulated both in general stress space and principal stress space. Specifically,the mathematical form of bounding surface,loading surface,mapping rule variable,plastic multiplier,plastic correction,and corner singularity treatment are derived. Secondly,the finite difference format of BUST model is compiled using C++ language,and its dynamic link library file is generated. Finally,a list of numerical simulation is conducted using FLAC3D software including a unit test for comparing BUST model and UST model,a triaxial compression test for predicting the stress-strain relationship of soft rock,a loess-mudstone slope simulation for predicting acceleration response. The results indicate that the finite difference method of the BUST model is reliable,and it can be applied in analyzing static and dynamic response of slopes or landslides.
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