TY - JOUR

T1 - Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity

AU - Qu, Peng Fei

AU - Zhu, Qizhi

AU - Zhang, Li Mao

AU - Li, Weijian

AU - Ni, Tao

AU - You, Tao

N1 - Publisher Copyright: © 2023 Elsevier Inc.

PY - 2023/2/3

Y1 - 2023/2/3

N2 - The plastic strain localization phenomenon is of critical importance for rock-like materials when undergoing non-homogeneous deformation. This paper presents a fractional plastic framework which is applied to take into account the plastic strain localization of rock-like materials. The novelty of the presented framework lies in the non-coaxial plastic flow that is controlled by the RiemannLiouville (RL) fractional derivative without additional plastic potential. The hardening response is described by a function of the generalized plastic shear strain. The capability of the fractional constitutive model to predict the main mechanical behaviors of rock-like materials is assessed by the conventional triaxial compression test data of Vosges sandstones from the literature. With the help of a MATLAB-based finite element method, several numerical examples (i.e., a plate, a plate with a hole, and a plate with a crack) are implemented, compared and analyzed to demonstrate the effectiveness of the proposed framework and the influence of the fractional order on the strain localization. It can be found from the numerical application of the twin-tunnel that the fractional model is promising to flexibly capture the strain localization zone for rock-like materials.

AB - The plastic strain localization phenomenon is of critical importance for rock-like materials when undergoing non-homogeneous deformation. This paper presents a fractional plastic framework which is applied to take into account the plastic strain localization of rock-like materials. The novelty of the presented framework lies in the non-coaxial plastic flow that is controlled by the RiemannLiouville (RL) fractional derivative without additional plastic potential. The hardening response is described by a function of the generalized plastic shear strain. The capability of the fractional constitutive model to predict the main mechanical behaviors of rock-like materials is assessed by the conventional triaxial compression test data of Vosges sandstones from the literature. With the help of a MATLAB-based finite element method, several numerical examples (i.e., a plate, a plate with a hole, and a plate with a crack) are implemented, compared and analyzed to demonstrate the effectiveness of the proposed framework and the influence of the fractional order on the strain localization. It can be found from the numerical application of the twin-tunnel that the fractional model is promising to flexibly capture the strain localization zone for rock-like materials.

KW - Constitutive model

KW - Finite element method

KW - Fractional calculus

KW - Fractional plasticity

KW - Strain localization

UR - http://www.scopus.com/inward/record.url?scp=85147551959&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2023.02.001

DO - 10.1016/j.apm.2023.02.001

M3 - Article

AN - SCOPUS:85147551959

VL - 118.2023

SP - 437

EP - 452

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

IS - June

ER -