Details
Original language | English |
---|---|
Pages (from-to) | 5020-5036 |
Number of pages | 17 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 195 |
Issue number | 37-40 |
Publication status | Published - 2 Feb 2006 |
Abstract
Finite element discretizations including contact usually apply the standard NTS-(node-to-segment) element. Thus, a coupling with higher order solid elements leads to inconsistencies in the transmission of contact stresses. One can circumvent this using the mortar method which includes a weak projection of the contact constraints. In this paper we present a penalty formulation based on the mortar concept for two-dimensional large deformation frictional contact. The discretization of the contact surfaces contains quadratic approximations which can be used within a quadratic approximation of the solid elements. To obtain a simple and efficient matrix formulation, the moving friction cone algorithm is applied.
Keywords
- Contact with friction, Large deformations, Mortar method, Moving friction cone, Penalty method, Two-dimensional
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 37-40, 02.02.2006, p. 5020-5036.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mortar based frictional contact formulation for higher order interpolations using the moving friction cone
AU - Fischer, Kathrin A.
AU - Wriggers, Peter
PY - 2006/2/2
Y1 - 2006/2/2
N2 - Finite element discretizations including contact usually apply the standard NTS-(node-to-segment) element. Thus, a coupling with higher order solid elements leads to inconsistencies in the transmission of contact stresses. One can circumvent this using the mortar method which includes a weak projection of the contact constraints. In this paper we present a penalty formulation based on the mortar concept for two-dimensional large deformation frictional contact. The discretization of the contact surfaces contains quadratic approximations which can be used within a quadratic approximation of the solid elements. To obtain a simple and efficient matrix formulation, the moving friction cone algorithm is applied.
AB - Finite element discretizations including contact usually apply the standard NTS-(node-to-segment) element. Thus, a coupling with higher order solid elements leads to inconsistencies in the transmission of contact stresses. One can circumvent this using the mortar method which includes a weak projection of the contact constraints. In this paper we present a penalty formulation based on the mortar concept for two-dimensional large deformation frictional contact. The discretization of the contact surfaces contains quadratic approximations which can be used within a quadratic approximation of the solid elements. To obtain a simple and efficient matrix formulation, the moving friction cone algorithm is applied.
KW - Contact with friction
KW - Large deformations
KW - Mortar method
KW - Moving friction cone
KW - Penalty method
KW - Two-dimensional
UR - http://www.scopus.com/inward/record.url?scp=33744925446&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2005.09.025
DO - 10.1016/j.cma.2005.09.025
M3 - Article
AN - SCOPUS:33744925446
VL - 195
SP - 5020
EP - 5036
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 37-40
ER -