Details
| Original language | English |
|---|---|
| Pages (from-to) | 1333-1348 |
| Number of pages | 16 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 191 |
| Issue number | 13-14 |
| Publication status | Published - 18 Jan 2002 |
Abstract
In this paper, we present an adaptive finite element method for steady-state rolling contact in finite deformations along with a residual based a posteriori error estimator for rolling contact problem with Coulomb friction. A general formulation of rolling contact geometry is derived from the point of view of differential geometry. Solvability conditions for the rolling contact problems are discussed. We use Newton's method to solve variational equations derived from a penalty regularization of the finite element approximation of the rolling contact problem. We provide a numerical example to illustrate the method.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 13-14, 18.01.2002, p. 1333-1348.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the adaptive finite element method of steady-state rolling contact for hyperelasticity in finite deformations
AU - Hu, Guangdi
AU - Wriggers, Peter
N1 - Funding information: Part of this work was supported by the DFG (Deutche Forschungsgemeinschaft) is gratefully acknowledged.
PY - 2002/1/18
Y1 - 2002/1/18
N2 - In this paper, we present an adaptive finite element method for steady-state rolling contact in finite deformations along with a residual based a posteriori error estimator for rolling contact problem with Coulomb friction. A general formulation of rolling contact geometry is derived from the point of view of differential geometry. Solvability conditions for the rolling contact problems are discussed. We use Newton's method to solve variational equations derived from a penalty regularization of the finite element approximation of the rolling contact problem. We provide a numerical example to illustrate the method.
AB - In this paper, we present an adaptive finite element method for steady-state rolling contact in finite deformations along with a residual based a posteriori error estimator for rolling contact problem with Coulomb friction. A general formulation of rolling contact geometry is derived from the point of view of differential geometry. Solvability conditions for the rolling contact problems are discussed. We use Newton's method to solve variational equations derived from a penalty regularization of the finite element approximation of the rolling contact problem. We provide a numerical example to illustrate the method.
UR - http://www.scopus.com/inward/record.url?scp=0037127121&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(01)00326-7
DO - 10.1016/S0045-7825(01)00326-7
M3 - Article
AN - SCOPUS:0037127121
VL - 191
SP - 1333
EP - 1348
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 13-14
ER -