Details
| Original language | English |
|---|---|
| Pages (from-to) | 1469-1495 |
| Number of pages | 27 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 51 |
| Issue number | 12 |
| Publication status | Published - 23 May 2001 |
Abstract
Finite deformation contact problems are associated with large sliding in the contact area. Thus, in the discrete problem a slave node can slide over several master segments. Standard contact formulations of surfaces discretized by low order finite elements leads to sudden changes in the surface normal field. This can cause loss of convergence properties in the solution procedure and furthermore may initiate jumps in the velocity field in dynamic solutions. Furthermore non-smooth contact discretizations can lead to incorrect results in special cases where a good approximation of the contacting surfaces is needed. In this paper a smooth contact discretization is developed which circumvents most of the aformentioned problems. A smooth deformed surface with no slope discontinuities between segments is obtained by a C1-continuous interpolation of the master surface. Different forms of discretizations are possible. Among these are Bézier, Hermitian or other types of spline interpolations. In this paper we compare two formulations which can be used to obtain smooth normal and tangent fields for frictional contact of deformable bodies. The formulation is developed for two-dimensional applications and includes finite deformation behaviour. Examples show the performance of the new discretization technique for contact.
Keywords
- Contact problems, Finite element method, Large deformations, Smooth interpolations
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Journal for Numerical Methods in Engineering, Vol. 51, No. 12, 23.05.2001, p. 1469-1495.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Smooth C1-interpolations for two-dimensional frictional contact problems
AU - Wriggers, Peter
AU - Krstulovic-Opara, L.
AU - Korelc, J.
PY - 2001/5/23
Y1 - 2001/5/23
N2 - Finite deformation contact problems are associated with large sliding in the contact area. Thus, in the discrete problem a slave node can slide over several master segments. Standard contact formulations of surfaces discretized by low order finite elements leads to sudden changes in the surface normal field. This can cause loss of convergence properties in the solution procedure and furthermore may initiate jumps in the velocity field in dynamic solutions. Furthermore non-smooth contact discretizations can lead to incorrect results in special cases where a good approximation of the contacting surfaces is needed. In this paper a smooth contact discretization is developed which circumvents most of the aformentioned problems. A smooth deformed surface with no slope discontinuities between segments is obtained by a C1-continuous interpolation of the master surface. Different forms of discretizations are possible. Among these are Bézier, Hermitian or other types of spline interpolations. In this paper we compare two formulations which can be used to obtain smooth normal and tangent fields for frictional contact of deformable bodies. The formulation is developed for two-dimensional applications and includes finite deformation behaviour. Examples show the performance of the new discretization technique for contact.
AB - Finite deformation contact problems are associated with large sliding in the contact area. Thus, in the discrete problem a slave node can slide over several master segments. Standard contact formulations of surfaces discretized by low order finite elements leads to sudden changes in the surface normal field. This can cause loss of convergence properties in the solution procedure and furthermore may initiate jumps in the velocity field in dynamic solutions. Furthermore non-smooth contact discretizations can lead to incorrect results in special cases where a good approximation of the contacting surfaces is needed. In this paper a smooth contact discretization is developed which circumvents most of the aformentioned problems. A smooth deformed surface with no slope discontinuities between segments is obtained by a C1-continuous interpolation of the master surface. Different forms of discretizations are possible. Among these are Bézier, Hermitian or other types of spline interpolations. In this paper we compare two formulations which can be used to obtain smooth normal and tangent fields for frictional contact of deformable bodies. The formulation is developed for two-dimensional applications and includes finite deformation behaviour. Examples show the performance of the new discretization technique for contact.
KW - Contact problems
KW - Finite element method
KW - Large deformations
KW - Smooth interpolations
UR - http://www.scopus.com/inward/record.url?scp=0035975226&partnerID=8YFLogxK
U2 - 10.1002/nme.227
DO - 10.1002/nme.227
M3 - Article
AN - SCOPUS:0035975226
VL - 51
SP - 1469
EP - 1495
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 12
ER -