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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…
math.AP2011★ 5 cited
An analytic approach to the ergodic theory of stochastic variational inequalities
Alain Bensoussan, Laurent Mertz
In an earlier work made by the first author with J. Turi (Degenerate Dirichlet Problems Related to the Invariant Measure of Elasto-Plastic Oscillators, AMO, 2008), the solution of…