岩土材料三剪能量本构模型的数值实现及应用

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摘要针对前期研究中提出的三剪能量本构模型，基于塑性位势理论，详细推导其在FLAC3D中的增量迭代格式，并编制相应的UDM接口程序。为了验证程序的正确性，考虑到三剪能量准则常规三轴情况下退化为Mohr-Coulomb准则，分别采用三剪能量本构模型和FLAC3D内嵌的Mohr-Coulomb模型数值模拟试样的常规三轴试验。计算结果显示，两种模型给出的结果几乎完全一样，从而验证计算格式和程序的正确性。最后，研究三剪能量本构模型的工程应用，分别采用Prandtl理论解、Mohr-Coulomb模型和三剪能量本构模型计算地基的极限承载力，计算结果表明，由于Prandtl理论解是基于Mohr-Coulomb准则建立的，且Mohr-Coulomb准则不考虑中间主应力的影响，而三剪能量准则考虑了中间主应力的影响，因此，Prandtl理论解和Mohr-Coulomb模型均偏于保守，其计算的极限承载力要比三剪能量本构模型计算结果偏小。

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关键词 ：土力学, 三剪能量本构模型, FLAC3D, 塑性位势理论

Abstract：Based on the plastic potential theory，the numerical scheme in FLAC3D of the triple shear energy constitutive model suggested by the authors is studied. The numerical format of the model is derived，and the corresponding UDM interface codes are programmed. Considering that under conventional triaxial condition，the triple shear energy criterion is simplified to the Mohr-Coulomb criterion，the triple shear energy model and the Mohr-Coulomb model are used to numerical simulation of sample triaxial test. The two models give almost completely the same results，which verify the validity of the numerical scheme and the codes. Then the engineering application of the triple shear energy model is researched. The Prandtl analytic solution，the Mohr-Coulomb model，and the triple shear energy model are used to analyze the foundation bearing capacity. Because the Prandtl analytic solution is based on the Mohr-Coulomb criterion，the results of the Mohr-Coulomb model and the Prandtl analytic solution are almost the same. Owing to the consideration of the intermediate principle stress effect in the triple shear energy criterion and the lack of consideration in the Mohr-Coulomb criterion，the Prandtl analytic solution and the Mohr-Coulomb model are both more conservative than the triple shear energy model，so the limit bearing capacity computed by the former two is smaller than that of the latter.

Key words： soil mechanics the triple shear energy constitutive model FLAC3D plastic potential theory

收稿日期: 2011-03-20

引用本文:

高红1，郑颖人1，2. 岩土材料三剪能量本构模型的数值实现及应用[J]. 岩石力学与工程学报, 2011, 30(S2): 4033-4038.
GAO Hong 1，ZHENG Yingren1，2. NUMERICAL IMPLEMENTATION AND APPLICATION OF THE TRIPLE SHEAR ENERGY CONSTITUTIVE MODEL OF GEOMATERIALS. , 2011, 30(S2): 4033-4038.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS2/4033

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