广义双剪应力准则的一种角隅模型的数值实现及应用

doi:10.13722/j.cnki.jrme.2021.0236

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Abstract Theory and experiments show that the general twin-shear stress criterion can represent the shear strength of soil and rock more accurately than the conventional Mohr-Coulomb criterion. However，there is no constitutive model based on the general twin-shear stress criterion in the existing large-scale finite element software. The smoothed function proposed by Gudehus-Argyr is essentially a corner model of the general twin-shear stress criterion for removing the sharp edges of the Mohr-Coulomb criterion. On the basis of studying the corner model，a plastic potential function was established，and the expressions of all flow vectors were deduced. In line with the complete implicit backward Euler integration algorithm，the corresponding user material subroutine UMAT was programed using the Fortran language in ABAQUS. The UMAT was applied in numerically modeling the conventional triaxial compression test，the uniaxial tension test and true axial test as well as in analyzing the stability of an embankment，and the modeling results were compared with those by the embedded Mohr-Coulomb model in ABAQUS. It is shown that the numerical implementation approach of the corner model is completely correct and reliable，and is beneficial to the practical application of the general twin- shear stress criterion to overcome the conservative flaw that the conventional Mohr-Coulomb model is prone to.

Key words： soil mechanics general twin-shear stress criterion Mohr-Coulomb criterion Gudehus-Argyris function complete implicit backward Euler integration algorithm UMAT

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	DAI Zihang
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DAI Zihang,HE Zhen. Numerical implementation and applications of a corner model of general twin-shear criterion[J]. , 2021, 40(11): 2320-2329.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.0236 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I11/2320

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