Statistical properties of the plastic deformation related to an elastic perfectly plastic oscillator
under standard white noise excitation are studied in this paper. Our approach relies on a
stochastic variational inequality governing the evolution between the velocity and the non-
linear restoring force. Bensoussan and Turi have shown that the solution is an ergodic
Markov process. First, we exhibit, by means of probabilistic simulations, the phenomenon of
micro-elastic phases which are small as well as numerous. The main difficulty related to this …