基于修正Mohr-Coulomb准则的岩土材料本构模型子程序开发

DEVELOPMENT OF SUBROUTINE FOR CONSTITUTIVE MODEL OF GEOTECHNICAL MATERIALS UPON MODIFIED MOHR-COULOMB CRITERION

  • 摘要: Mohr-Coulomb准则在岩土工程有限元分析中应用广泛,既有研究表明ABBO和SLOAN提出的修正Mohr-Coulomb准则比传统Mohr-Coulomb准则具有更好的数值稳定性。然而,现有通用有限元分析软件均未提供基于该准则的岩土材料本构模型。此外,现有基于修正Mohr-Coulomb准则的本构模型子程序存在数值精度和稳定性不足的问题。该文针对修正Mohr-Coulomb准则提出了一种新的应力更新算法,给出了相关参数计算公式和该算法的实施步骤。以通用有限元程序ABAQUS为平台,开发了相应的UMAT子程序。通过土体单元常规三轴压缩算例和岩土工程边坡稳定性分析算例对开发的UMAT子程序进行了测试。算例结果表明,基于修正Mohr-Coulomb准则的UMAT本构模型子程序具有较高的计算精度和良好的收敛性。

     

    Abstract: The Mohr-Coulomb criterion has been widely used in the finite element analysis of geotechnical engineering. Previous studies have shown that modified Mohr-Coulomb criterion proposed by Abbo-Sloan has better numerical stability than the traditional one. However, most general finite element programs do not provide the constitutive model based on the modified Mohr-Coulomb criterion. Furthermore, most subroutines for this constitutive model suffer from insufficient numerical accuracy and stability. A new stress updating algorithm for the modified Mohr-Coulomb criterion was thusly proposed, the formulas for calculating the parameters were derived, and the implementation scheme was provided. A UMAT subroutine was developed with ABAQUS as the platform. The UMAT subroutine was tested by a triaxial compression case and by a geotechnical engineering slope stability analysis case. The results indicate that the UMAT subroutine has a high numerical accuracy and a satisfactory convergence performance.

     

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