Details
| Original language | English |
|---|---|
| Pages (from-to) | 871-894 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 59 |
| Issue number | 6 |
| Publication status | Published - 14 Feb 2004 |
Abstract
In this paper an adaptive method for the analysis of thermomechanical coupled multi-body contact problems is presented. The method is applied to non-linear elastic solids undergoing finite (thermal) deformations. The contact model considers non-linear pressure-dependent heat flux as well as frictional heating in the interface. A time-space-finite element discretization of the governing equations is formulated including unilateral constraints due to contact. A staggered solution algorithm has been constructed that allows an independent spatial discretization of the coupled subproblems. A posteriori projection-based error estimators, which enforce implicitly the special boundary conditions due to thermal contact, are used to control the spatial discretization as well as the adaptive time stepping. Numerical examples are presented to corroborate the applicability of the adaptive algorithm to the considered problem type.
Keywords
- Adaptive methods, Contact mechanics, Finite element methods, Thermo-mechanics
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Journal for Numerical Methods in Engineering, Vol. 59, No. 6, 14.02.2004, p. 871-894.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adaptive methods for thermomechanical coupled contact problems
AU - Rieger, A.
AU - Wriggers, Peter
PY - 2004/2/14
Y1 - 2004/2/14
N2 - In this paper an adaptive method for the analysis of thermomechanical coupled multi-body contact problems is presented. The method is applied to non-linear elastic solids undergoing finite (thermal) deformations. The contact model considers non-linear pressure-dependent heat flux as well as frictional heating in the interface. A time-space-finite element discretization of the governing equations is formulated including unilateral constraints due to contact. A staggered solution algorithm has been constructed that allows an independent spatial discretization of the coupled subproblems. A posteriori projection-based error estimators, which enforce implicitly the special boundary conditions due to thermal contact, are used to control the spatial discretization as well as the adaptive time stepping. Numerical examples are presented to corroborate the applicability of the adaptive algorithm to the considered problem type.
AB - In this paper an adaptive method for the analysis of thermomechanical coupled multi-body contact problems is presented. The method is applied to non-linear elastic solids undergoing finite (thermal) deformations. The contact model considers non-linear pressure-dependent heat flux as well as frictional heating in the interface. A time-space-finite element discretization of the governing equations is formulated including unilateral constraints due to contact. A staggered solution algorithm has been constructed that allows an independent spatial discretization of the coupled subproblems. A posteriori projection-based error estimators, which enforce implicitly the special boundary conditions due to thermal contact, are used to control the spatial discretization as well as the adaptive time stepping. Numerical examples are presented to corroborate the applicability of the adaptive algorithm to the considered problem type.
KW - Adaptive methods
KW - Contact mechanics
KW - Finite element methods
KW - Thermo-mechanics
UR - http://www.scopus.com/inward/record.url?scp=0442280814&partnerID=8YFLogxK
U2 - 10.1002/nme.900
DO - 10.1002/nme.900
M3 - Article
AN - SCOPUS:0442280814
VL - 59
SP - 871
EP - 894
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 6
ER -