Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise-Reference-Cited by-同舟云学术

Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise

Published:2017-11-27 Issue:1 Volume:106 Page:47-60
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Feau Cyril¹,Laurière Mathieu²,Mertz Laurent²

Affiliation:

1. EMSI laboratory, CEA, DEN, DM2S, SEMT, F-91191 Gif-sur-Yvette, France

2. ECNU-NYU Institute of Mathematical Sciences, NYU Shanghai, Shanghai, China. E-mail: laurent.mertz@nyu.edu

Publisher

IOS Press

Subject

General Mathematics

Reference13 articles.

1. An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise;Bensoussan;Applied Mathematics Research eXpress,2015

2. A. Bensoussan and J.L. Lions, Impulse Control and Quasi-Variational Inequalities, Dunod, 1982.

3. An analytic approach to the ergodic theory of stochastic variational inequalities;Bensoussan;C. R. Acad. Sci. Paris Ser. I,2012

4. An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise;Bensoussan;SIAM J. Numer. Anal.,2009

5. Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise;Bensoussan;C. R. Acad. Sci. Paris Sr. I Math.,2012

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