Inicio  /  Applied Sciences  /  Vol: 13 Par: 9 (2023)  /  Artículo
ARTÍCULO
TITULO

A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials

Dongshuai Tian and Hong Zheng    

Resumen

The Mohr-Coulomb (M-C) failure criterion has been a popular choice for geotechnical analysis because of its simplicity and ease of use. The fact that the M-C criterion disregards the intermediate principal stress?s impact is a significant drawback. As a result, the M-C criterion is only applied to materials under biaxial stress. This paper presents a three-dimensional version of the M-C criterion. The proposed criterion, called the Generalized Mohr-Coulomb (GMC) criterion, considers the intermediate principal stress?s effect, in addition to inheriting the original M-C criterion?s benefits. We obtained the conditions that the strength parameters must satisfy when the GMC criterion fulfills the p plane?s convexity. The GMC criterion can better describe geotechnical materials? strengths under general stress conditions. Based on an implicit algorithm, the user material subroutine (UMAT) of the three-dimensional GMC model was developed in ABAQUS using the Fortran programming language. The established elastoplastic model?s validity and the program?s accuracy were examined using numerical simulation. Finally, a numerical simulation of a three-dimensional tunnel excavation under various working conditions was performed. The calculation results from the GMC model are precise and have some engineering-related practical significance.

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