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Non‐linear Stochastic Finite Element
Author(s) -
Caylak Ismail,
Dridger Alex,
Mahnken Rolf
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510080
Subject(s) - discretization , finite element method , monte carlo method , polynomial chaos , mathematics , nonlinear system , hardening (computing) , random variable , random field , statistical physics , mathematical analysis , structural engineering , physics , statistics , engineering , materials science , layer (electronics) , quantum mechanics , composite material
This paper investigates the uncertainty of physically non‐linear problems by modeling the elastic random material parameters as stochastic fields. For its stochastic discretization a polynomial chaos (PC) is used to expand the coefficients into deterministic and stochastic parts. Then, from experimental data for an adhesive material the distribution of the random variables, i.e. Young's modulus E (θ), the static yield point Y 0 and the nonlinear hardening parameters q and b , are known. In the numerical example the distribution of the stresses obtained by the PC based SFEM and Monte Carlo simulation is compared. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)