Details
| Original language | English |
|---|---|
| Pages (from-to) | 337-356 |
| Number of pages | 20 |
| Journal | Computational mechanics |
| Volume | 42 |
| Issue number | 3 |
| Publication status | Published - Aug 2008 |
Abstract
Arbitrary Lagrangian-Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems. Whereas the theoretical framework is well developed for elastic constitutive behavior, special measures are necessary for the computation of dissipative effects like inelastic properties and friction because the path of material points is not traced inherently. In this presentation a fractional step approach is suggested for the integration of the evolution equations for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. Furthermore, a mathematically sound approach for the treatment of frictional rolling within the ALE-description is suggested. By this novel and fully implicit algorithm the slip velocities are integrated along their path-lines. For dissipative effects due to both, inelastic behavior and friction, physical reliable results will be demonstrated as well as the computability of large scaled finite element tire-models.
Keywords
- Arbitrary Lagrangian-Eulerian, Frictional contact, Inelastic material behavior, Steady-state rolling, Tire models
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 42, No. 3, 08.2008, p. 337-356.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical techniques for rolling rubber wheels
T2 - Treatment of inelastic material properties and frictional contact
AU - Ziefle, M.
AU - Nackenhorst, U.
PY - 2008/8
Y1 - 2008/8
N2 - Arbitrary Lagrangian-Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems. Whereas the theoretical framework is well developed for elastic constitutive behavior, special measures are necessary for the computation of dissipative effects like inelastic properties and friction because the path of material points is not traced inherently. In this presentation a fractional step approach is suggested for the integration of the evolution equations for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. Furthermore, a mathematically sound approach for the treatment of frictional rolling within the ALE-description is suggested. By this novel and fully implicit algorithm the slip velocities are integrated along their path-lines. For dissipative effects due to both, inelastic behavior and friction, physical reliable results will be demonstrated as well as the computability of large scaled finite element tire-models.
AB - Arbitrary Lagrangian-Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems. Whereas the theoretical framework is well developed for elastic constitutive behavior, special measures are necessary for the computation of dissipative effects like inelastic properties and friction because the path of material points is not traced inherently. In this presentation a fractional step approach is suggested for the integration of the evolution equations for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. Furthermore, a mathematically sound approach for the treatment of frictional rolling within the ALE-description is suggested. By this novel and fully implicit algorithm the slip velocities are integrated along their path-lines. For dissipative effects due to both, inelastic behavior and friction, physical reliable results will be demonstrated as well as the computability of large scaled finite element tire-models.
KW - Arbitrary Lagrangian-Eulerian
KW - Frictional contact
KW - Inelastic material behavior
KW - Steady-state rolling
KW - Tire models
UR - http://www.scopus.com/inward/record.url?scp=44449108517&partnerID=8YFLogxK
U2 - 10.1007/s00466-008-0243-9
DO - 10.1007/s00466-008-0243-9
M3 - Article
AN - SCOPUS:44449108517
VL - 42
SP - 337
EP - 356
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 3
ER -