Non‐linear Stochastic Finite Element. Issue 1 (21st October 2015)

• Record Type: Journal Article
• Authors: Caylak, Ismail; Dridger, Alex; Mahnken, Rolf
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 15:Issue 1(2015)
• Page Start: 179
• Page End: 180
• Publication Date: 2015-10-21
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201510080
• Languages: English
• ISSNs: 1617-7061

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>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. <italic>Young's</italic> modulus <italic>E</italic>(θ), the static yield point <italic>Y</italic>₀ and the nonlinear hardening parameters <italic>q</italic> and <italic>b</italic>, 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 &amp; Co. KGaA, Weinheim)</p> </abstract>