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Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
Publikationstyp
Journal Article
Date Issued
2012
Sprache
English
Author(s)
TORE-URI
Volume
64
Issue
8
Start Page
2408
End Page
2430
Citation
Computers & Mathematics with Applications 8 (64): 2408-2430 (2012)
Publisher DOI
Scopus ID
Publisher
Elsevier Science
This paper introduces a fully implicit partitioned coupling scheme for problems of thermoelasticity at finite strains utilizing the -version of the finite element method. The mechanical and the thermal fields are partitioned into symmetric subproblems where algorithmic decoupling has been obtained by means of an isothermal operator-split. Numerical relaxation methods have been implemented to accelerate the convergence of the algorithm. Such methods are well-known from coupled fluid-structure interaction problems leading to highly efficient algorithms. Having studied the influence of three different strategies: polynomial prediction methods, numerical relaxation with constant relaxation coefficients, its dynamic variant with a residual based relaxation coefficient and a variant of a reduced order model - quasi-Newton method, we present several numerical simulations of quasi-static problems investigating the performance of accelerated coupling schemes.
Subjects
Thermoelasticity
Partitioned coupling schemes
Convergence acceleration
Time adaptivity
DDC Class
510: Mathematik
530: Physik
620: Ingenieurwissenschaften
More Funding Information
Deutsche Forschungsgemeinschaft (DFG)