---
res:
bibo_abstract:
- This paper presents a numerical method for solution of a stochastic partial differential
equation (SPDE) for a linear elastic body with stochastic coefficients (random
variables and/or random fields). To this end the stochastic finite element method
(SFEM) is employed, which uses W IENERâ€™S polynomial chaos expansion in order to
decompose the coefficients into deterministic and stochastic parts. As a special
case, we consider isotropic material behavior with two fluctuating parameters.
Computational approaches involving GALERKIN projection are applied to reduce the
SPDE into a system of deterministic PDEs. Furthermore, we consider normally distributed
random variables, which are assumed to be stochastically independent, and which
establish the number of stochastic dimensions. Subsequently, the resulting finite
element equation is solved iteratively. Finally, in a representative example for
a plate with a ring hole we study the influence of different variances for material
parameters on the variances for the finite element results.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Rolf
foaf_name: Mahnken, Rolf
foaf_surname: Mahnken
foaf_workInfoHomepage: http://www.librecat.org/personId=335
- foaf_Person:
foaf_givenName: Ismail
foaf_name: Caylak, Ismail
foaf_surname: Caylak
foaf_workInfoHomepage: http://www.librecat.org/personId=75
- foaf_Person:
foaf_givenName: Alex
foaf_name: Dridger, Alex
foaf_surname: Dridger
bibo_doi: 10.24352/UB.OVGU-2017-003
dct_date: 2016^xs_gYear
dct_language: eng
dct_title: A Stochastic Finite Element Method with a Deviatoric-volumetric Split
for the Stochastic Linear Isotropic Elasticity Tensor@
...