@inproceedings{2c1864c6a1874928b6154f31ab9bf59a,
title = "Inelastic media under uncertainty: Stochastic models and computational approaches",
abstract = "We discuss inelastic media under uncertainty modelled by probabilistic methods. As a prototype inelastic material we consider perfect plasticity.We propose a mathematical formulation as a stochastic variational inequality. The new element vis {\`a} vis a stochastic elastic medium is the so-called return map at each Gauss-point. We concentrate on a stochastic version of this, showing how it may be solved via (generalised) polynomial expansion. Explicit formulas are provided for plane strain, together with results from example computations, giving a stochastic inelastic or irreversible time-step procedure. This may serve as a prototype example for any other irreversible behaviour, especially of the rate-independent kind.",
keywords = "Chaos expansion, Inelastic irreversible behaviour, Stochastic generalised return map, Stochastic model, Stochastic variational inequality, Uncertainty",
author = "Matthies, {Hermann G.} and Ros{\'i}c, {Bojana V.}",
year = "2008",
month = jan,
day = "1",
doi = "10.1007/978-1-4020-9090-5_17",
language = "English",
isbn = "978-1-4020-9089-9",
series = "IUTAM Bookseries",
publisher = "Springer",
pages = "185--194",
editor = "Reddy, {B. Daya}",
booktitle = "IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media - Proceedings of the IUTAM Symposium",
address = "Netherlands",
note = "IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media 2008 ; Conference date: 14-01-2008 Through 18-01-2008",
}