Implicit multilayer J2-plasticity using Pragerʹs translation rule

In this paper a multilayer J2-plasticity model that uses Pragerʹs translation rule for the yield surface and a modi ed kinematic hardening for the hardening surfaces that avoids their overlapping is developed. An implicit algorithm for the model and the consistent elastoplastic tangent are also formulated in order to obtain second-order convergence in Newton algorithms. The multiaxial behaviour of the resulting discrete model is compared to that of a virtual bounding surface model and to that of a multilayer implicit one based on Mr ozʹs kinematic rule. The algorithm is also applied to soil dynamics to show its robustness.