Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise

DOI10.1016/j.crma.2012.09.020zbMath1310.74011OpenAlexW2963183392MaRDI QIDQ1759787

Alain Bensoussan, Laurent Mertz, Sheung Chi Phillip Yam

Publication date: 22 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.09.020

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Random vibrations in mechanics of particles and systems (70L05) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)

Related Items

Averaging principle for stochastic variational inequalities with application to PDEs with nonlinear Neumann conditions, Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators, NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise

Cites Work

• Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators
• An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise