Details
| Original language | English |
|---|---|
| Title of host publication | New Trends in Mechanics and Transport |
| Pages | 157-171 |
| Number of pages | 15 |
| Publication status | Published - 2008 |
Publication series
| Name | Applied Mechanics and Materials |
|---|---|
| Volume | 9 |
| ISSN (Print) | 1660-9336 |
| ISSN (electronic) | 1662-7482 |
Abstract
Arbitrary Lagrangian Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems, the theoretical framework is well developed for elastic constitutive behavior. Special measures are necessary for the treatment of history dependent and explicitly time dependent material behavior within the relative-kinematic ALE-picture. In this presentation a fractional step approach is suggested for the integration of the evolution equation for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. The advantage of TDG-methods in comparison with more traditional integration schemes is studied in detail. The practicability of the approach is demonstrated by the finite element analysis of rolling tires.
Keywords
- ALE, Discontinuous Galerkin methods, Internal variables, Rolling contact
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
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New Trends in Mechanics and Transport. 2008. p. 157-171 (Applied Mechanics and Materials; Vol. 9).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - An internal variable update procedure for the treatment of inelastic material behavior within an ALE-description of rolling contact
AU - Ziefle, M.
AU - Nackenhorst, U.
PY - 2008
Y1 - 2008
N2 - Arbitrary Lagrangian Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems, the theoretical framework is well developed for elastic constitutive behavior. Special measures are necessary for the treatment of history dependent and explicitly time dependent material behavior within the relative-kinematic ALE-picture. In this presentation a fractional step approach is suggested for the integration of the evolution equation for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. The advantage of TDG-methods in comparison with more traditional integration schemes is studied in detail. The practicability of the approach is demonstrated by the finite element analysis of rolling tires.
AB - Arbitrary Lagrangian Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems, the theoretical framework is well developed for elastic constitutive behavior. Special measures are necessary for the treatment of history dependent and explicitly time dependent material behavior within the relative-kinematic ALE-picture. In this presentation a fractional step approach is suggested for the integration of the evolution equation for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. The advantage of TDG-methods in comparison with more traditional integration schemes is studied in detail. The practicability of the approach is demonstrated by the finite element analysis of rolling tires.
KW - ALE
KW - Discontinuous Galerkin methods
KW - Internal variables
KW - Rolling contact
UR - http://www.scopus.com/inward/record.url?scp=45749104409&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.9.157
DO - 10.4028/www.scientific.net/AMM.9.157
M3 - Conference contribution
AN - SCOPUS:45749104409
SN - 0878494685
SN - 9780878494682
T3 - Applied Mechanics and Materials
SP - 157
EP - 171
BT - New Trends in Mechanics and Transport
ER -