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Uncertainty quantification for linear elastic bodies with two fluctuating input parameters
Author(s) -
Dridger Alex,
Caylak Ismail,
Mahnken Rolf
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510266
Subject(s) - galerkin method , isotropy , finite element method , partial differential equation , projection (relational algebra) , mathematics , linear elasticity , work (physics) , stochastic partial differential equation , mathematical analysis , mathematical optimization , physics , algorithm , quantum mechanics , thermodynamics
In this work, we present a numerical method for solving partial differential equations (PDEs) with stochastic coefficients for a linear elastic body. To this end, a stochastic finite element method is applied. We distinguish two different cases for an isotropic material with two fluctuating input parameters in order to analyse the optimal choice of input parameters. Using the GALERKIN projection, the final stochastic equation system is reduced to a system of deterministic PDEs. Subsequently, the solution is determined iteratively. Finally, a numerical example for a plate with a ring hole is presented. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)