NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise

DOI10.1137/16M1056237zbMath1456.74061OpenAlexW2517785898MaRDI QIDQ2817443

Sheung Chi Phillip Yam, Laurent Mertz, Alain Bensoussan

Publication date: 31 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1056237

zbMATH Keywords

variational inequalityboundary value problemelasto-plastic oscillator

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) PDEs with randomness, stochastic partial differential equations (35R60) Random vibrations in dynamical problems in solid mechanics (74H50) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (3)

Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems ⋮ Stochastic dynamics of fluid–structure interaction in turbulent thermal convection ⋮ Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators

Cites Work

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• On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions
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• Approximate Solutions of a Stochastic Variational Inequality Modeling an Elasto-Plastic Problem with Noise
• Penalization of a stochastic variational inequality modeling an elasto-plastic problem with noise

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