An Anisotropic Elastoplastic Constitutive Model for Layered Rock Masses and Its Implementation in ABAQUS

Since the anisotropic characteristic of deformation and strength of layered rock masses, giving the reasonable constitutive model is of great significance for numerical analysis of the rock engineering concerned of layered rock masses. Based on the McLamore & Gray strength criterion, the isotropic Drucker-Prager strength criterion which is widely used in rock engineering is extended to be an anisotropic elastoplastic constitutive model for layered rock masses by making use of the conversion relationship between the Mohr-Coulomb strength criterion and the Drucker-Prager strength criterion. Then the presented anisotropic constitutive model is embedded in ABAQUS for its numerical implementation based on the derivation of the implicit integration algorithm and consistent tangent modulus. Numerical example is given for demonstration of the validity of the proposed constitutive model and its numerical implementation.