Details
| Original language | English |
|---|---|
| Pages (from-to) | 17-37 |
| Number of pages | 21 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 182 |
| Issue number | 1-2 |
| Publication status | Published - 4 Feb 2000 |
Abstract
Structures involving interfaces with fractal geometry are referred here as a sequence of classical interfaces problems, which result from the consideration of the fractal interfaces as the unique "fixed point" or the "deterministic attractor" of a given Iterated Function System (IFS). On the interface, unilateral contact conditions are assumed to hold. The approximations of the fractal interfaces are combined with a penalty regularization based on the minimization of the potential energy, after some appropriate transformations are performed. For this type of contact problems there often result singular points on the interfaces which lead to possible stress concentrations. Further-more, the convergence of finite element solution under a sufficient discretization can not be determined from the outset. An adaptive finite element strategy appears to be suitable for such kind of contact problems in that it possesses the properties of adjusting automatically the mesh sizes both in the interior of the bodies and on the contact zone. In this spirit, both the goals of exactly determining the real contact areas, and of enhancing the accuracy of finite element solution (meanwhile consuming reasonable computational costs) may be achieved. The error estimator based on the residual stress analysis is discussed. Numerical examples illustrate the validity and effectiveness of the method proposed in this paper.
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
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 182, No. 1-2, 04.02.2000, p. 17-37.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adaptive finite element analysis of fractal interfaces in contact problems
AU - Hu, Guang Di
AU - Panagiotopoulos, P. D.
AU - Panagouli,
AU - Scherf, O.
AU - Wriggers, Peter
N1 - Funding information: Part of this work was support by the DFG (Deutche Forschungsgemeinschaft) is gratefully acknowledged.
PY - 2000/2/4
Y1 - 2000/2/4
N2 - Structures involving interfaces with fractal geometry are referred here as a sequence of classical interfaces problems, which result from the consideration of the fractal interfaces as the unique "fixed point" or the "deterministic attractor" of a given Iterated Function System (IFS). On the interface, unilateral contact conditions are assumed to hold. The approximations of the fractal interfaces are combined with a penalty regularization based on the minimization of the potential energy, after some appropriate transformations are performed. For this type of contact problems there often result singular points on the interfaces which lead to possible stress concentrations. Further-more, the convergence of finite element solution under a sufficient discretization can not be determined from the outset. An adaptive finite element strategy appears to be suitable for such kind of contact problems in that it possesses the properties of adjusting automatically the mesh sizes both in the interior of the bodies and on the contact zone. In this spirit, both the goals of exactly determining the real contact areas, and of enhancing the accuracy of finite element solution (meanwhile consuming reasonable computational costs) may be achieved. The error estimator based on the residual stress analysis is discussed. Numerical examples illustrate the validity and effectiveness of the method proposed in this paper.
AB - Structures involving interfaces with fractal geometry are referred here as a sequence of classical interfaces problems, which result from the consideration of the fractal interfaces as the unique "fixed point" or the "deterministic attractor" of a given Iterated Function System (IFS). On the interface, unilateral contact conditions are assumed to hold. The approximations of the fractal interfaces are combined with a penalty regularization based on the minimization of the potential energy, after some appropriate transformations are performed. For this type of contact problems there often result singular points on the interfaces which lead to possible stress concentrations. Further-more, the convergence of finite element solution under a sufficient discretization can not be determined from the outset. An adaptive finite element strategy appears to be suitable for such kind of contact problems in that it possesses the properties of adjusting automatically the mesh sizes both in the interior of the bodies and on the contact zone. In this spirit, both the goals of exactly determining the real contact areas, and of enhancing the accuracy of finite element solution (meanwhile consuming reasonable computational costs) may be achieved. The error estimator based on the residual stress analysis is discussed. Numerical examples illustrate the validity and effectiveness of the method proposed in this paper.
UR - http://www.scopus.com/inward/record.url?scp=0034602941&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(99)00083-3
DO - 10.1016/S0045-7825(99)00083-3
M3 - Article
AN - SCOPUS:0034602941
VL - 182
SP - 17
EP - 37
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 1-2
ER -