The damage critical curved surface is derived by considering the related effect of isotropic damage
and degradation of cohesion and internal friction angle of Mohr-Coulomb strength law. The characteristics of
stress-displacement curve and networks of shear bands with the change of degree of damage, confining pressure
and Poisson’s ratio are investigated numerically by monitoring the stress-displacement values in the process of
deformation of samples under plane strain and different initial conditions. The dependence of elastic-plastic
response of localization is discussed. The non-uniqueness of the solution of equation is given. The orientation
angle of shear band is derived by considering the related effect of isotropic damage and degradation of cohesion
and internal friction angle. The orientation angle of shear band obtained by numerical simulation is contrasted
to the orientation angle by measuring Mohr circle. It is shown that peak strength and residual strength depend
on confining pressure. The networks of shear bands begin to appear in phase II of elasticity and develop in soften
phase, and the shear band is formed in the phase of residual strength. As the degree of damage increases, axial
displacement at the points of bifurcation and shear band decreases. The orientation angle of shear band increases
with the increase of the damage degree. The orientation angle of shear band obtained by numerical simulation and
measuring Mohr circle is not much difference when the damage degree is equivalent. The Mohr-Coulomb theory
may predict the localized instability of sample by considering the degradation of cohesion and internal friction
angle.
WANG Zhong-chang1,2* (王忠昶), WANG Hai-tao1,2 (王海涛), YANG Qing2 (杨庆)
. Analysis of Localization of
Mohr-Coulomb Strength Law with Damage Effect[J]. Journal of Shanghai Jiaotong University(Science), 2012
, 17(5)
: 619
-628
.
DOI: 10.1007/s12204-012-1334-5
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