Dp. Adhikary et Av. Dyskin, A CONTINUUM MODEL OF LAYERED ROCK MASSES WITH NONASSOCIATIVE JOINT PLASTICITY, International journal for numerical and analytical methods in geomechanics, 22(4), 1998, pp. 245-261
Layered rock masses can be modelled either as standard, orthotropic co
ntinua if the layer bending can be neglected or as Cosserat continua i
f the influence of layer bending is essential. This paper presents a f
inite element smeared joint model based on the Cosserat theory. The la
yers are assumed to be elastic with equal thickness and equal mechanic
al properties. All the cosserat parameters are expressed through the e
lastic properties of layers, layer thickness and joint stiffness. Plas
tic-slip as well as tensile-opening of layer interface (joint) are acc
ounted for in a manner similar to the conventional non-associative pla
sticity theory. As an application, the behaviour of an excavation in a
layered rock mass is examined. The displacement and stress fields giv
en by smeared joint models based on the Cosserat continuum and the con
ventional anisotropic continuum approaches are compared with those obt
ained from the discrete joint model. The conventional anisotropic cont
inuum model is found to break-down completely when the effective shear
modulus in the direction parallel to layering is low in comparison to
the shear modulus of the intact layer, whereas the Cosserat model is
found to be capable of accurately reproducing complex load-deflection
patterns irrespective of the differences in shear moduli. (C) 1998 Joh
n Wiley & Sons, Ltd.