The main objective of this contribution is to develop a dissipation-consistent elasto-plastic peridynamic (PD) formulation that also geometrically exact. We distinguish between one-neighbour, two-neighbour and three-neighbour interactions. One-neighbour interactions are equivalent the bond-based original PD formalism. However, two- fundamentally different state-based interactions, as basic elem...

ABSTRACT. In a previous work by the first author with J. Turi [2], a stochastic variational inequality has been introduced to model an elasto-plastic oscillator with noise. A major advantage of the stochastic variational inequality is to overcome the need to describe the trajectory by phases (elastic or plastic). This is useful, since the sequence of phases cannot be characterized easily. In pa...

The self-consistent Eulerian rate-type elastoplastic model based on the logarithmic rate is used to study finite bending of a compressible elastic-perfectly plastic rectangular block. It is found that an explicit closed-form solution for this typical inhomogeneous finite deformation mode may be available in a general case of compressible deformation with a stretch normal to the bending plane, w...

This work is devoted to the analysis of elasto-plasticity models arising in soil mechanics. Contrary to the typical models mainly used for metals, it is required here to take into account plastic dilatancy due to the sensitivity of granular materials to hydrostatic pressure. The yield criterion thus depends on the mean stress and the elasticity domain is unbounded and not invariant in the direc...

In the context of nuclear waste disposal, the modelling of the behaviour of host rocks and soils still needs improvement. Unsaturated porous geomaterials exhibit particular behaviour when exposed to suction. Their non-linear behaviour may result from two different processes, plasticity which induces irreversible strains and damage which causes a deterioration of their elastic properties. Many e...