An Analytical Approach for the Growth Rate of the Variance of the Deformation Related to an Elasto-Plastic Oscillator Excited by a White Noise

Laurent Mertz (1, 2) , Alain Bensoussan (3) , Cyril Feau (4) , Phillip Yam (5)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 UNS - Université Nice Sophia Antipolis (1965 - 2019)
3 University of Texas at Dallas - Department of Computer Science [Dallas]
4 EMSI - Laboratoire d'Etudes de Mécanique Sismique
5 CUHK - The Chinese University of Hong Kong [Hong Kong]

Domaines: Equations aux dérivées partielles [math.AP]; Probabilités [math.PR]; Mécanique [physics.med-ph]; Génie civil

Laurent Mertz, Alain Bensoussan, Cyril Feau, Phillip Yam. An Analytical Approach for the Growth Rate of the Variance of the Deformation Related to an Elasto-Plastic Oscillator Excited by a White Noise. Applied Mathematics Research eXpress, 2015, http://amrx.oxfordjournals.org/. ⟨10.1093/amrx/abu008⟩. ⟨hal-01145539⟩