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math.AP2011
Degenerate Dirichlet Problems Related to the Ergodic Property of an Elasto-Plastic Oscillator Excited by a Filtered White Noise
Alain Bensoussan, Laurent Mertz
A stochastic variational inequality is proposed to model an elasto-plastic oscillator excited by a filtered white noise. We prove the ergodic properties of the process and characte…
math.AP2011
Behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise
Alain Bensoussan, Laurent Mertz
Earlier works in engineering, partly experimental, partly computational have revealed that asymptotically, when the excitation is a white noise, plastic deformation and total defor…