Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | CISM International Centre for Mechanical Sciences, Courses and Lectures |
| Herausgeber (Verlag) | Springer International Publishing AG |
| Seiten | 321-363 |
| Seitenumfang | 43 |
| Publikationsstatus | Veröffentlicht - 2005 |
Publikationsreihe
| Name | CISM International Centre for Mechanical Sciences, Courses and Lectures |
|---|---|
| Band | 416 |
| ISSN (Print) | 0254-1971 |
| ISSN (elektronisch) | 2309-3706 |
Abstract
This contribution is concerned with the adaptive finite-element-formulation of contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given. Next the basic finite element formulation for large deformation contact processes is presented for two-dimensional problems. The development of the discretization of contact contributions follows. Here standard approaches are discussed for the case of frictional and frictionless contact. Finally different adaptive strategies involving as well residual based error estimators as error indicators based on superconvergence patch recovery are derived and formulated to include the contributions due to contact. Also error estimators based on dual principles are discussed. Examples show the performance of the different formulations and adaptive strategies.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Modellierung und Simulation
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Ingenieurwesen (insg.)
- Maschinenbau
- Informatik (insg.)
- Angewandte Informatik
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- BibTex
- RIS
CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2005. S. 321-363 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Band 416).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review
}
TY - CHAP
T1 - Adaptive methods for contact problems
AU - Wriggers, Peter
PY - 2005
Y1 - 2005
N2 - This contribution is concerned with the adaptive finite-element-formulation of contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given. Next the basic finite element formulation for large deformation contact processes is presented for two-dimensional problems. The development of the discretization of contact contributions follows. Here standard approaches are discussed for the case of frictional and frictionless contact. Finally different adaptive strategies involving as well residual based error estimators as error indicators based on superconvergence patch recovery are derived and formulated to include the contributions due to contact. Also error estimators based on dual principles are discussed. Examples show the performance of the different formulations and adaptive strategies.
AB - This contribution is concerned with the adaptive finite-element-formulation of contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given. Next the basic finite element formulation for large deformation contact processes is presented for two-dimensional problems. The development of the discretization of contact contributions follows. Here standard approaches are discussed for the case of frictional and frictionless contact. Finally different adaptive strategies involving as well residual based error estimators as error indicators based on superconvergence patch recovery are derived and formulated to include the contributions due to contact. Also error estimators based on dual principles are discussed. Examples show the performance of the different formulations and adaptive strategies.
KW - Adaptive method
KW - Contact interface
KW - Contact problem
KW - Error estimator
KW - Posteriori error
UR - http://www.scopus.com/inward/record.url?scp=85053917057&partnerID=8YFLogxK
U2 - 10.1007/3-211-38060-4_6
DO - 10.1007/3-211-38060-4_6
M3 - Contribution to book/anthology
AN - SCOPUS:85053917057
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 321
EP - 363
BT - CISM International Centre for Mechanical Sciences, Courses and Lectures
PB - Springer International Publishing AG
ER -