Details
| Original language | English |
|---|---|
| Pages (from-to) | 2019-2041 |
| Number of pages | 23 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 53 |
| Issue number | 9 |
| Publication status | Published - 11 Jan 2002 |
Abstract
In this paper frictionless contact between 3D beams is analysed. The beam model is used in which large displacements but small strains are allowed. The element is derived on the basis of updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact-search algorithm, which is necessary to determine an active set for the contact contribution treatment, is elaborated. The contact element uses the same set of physical shape functions as the beam element. A consistent linearization of contact contribution is derived and expressed in suitable matrix form, easy to use in FEM approximation. Several numerical examples depict the efficiency of the presented approach.
Keywords
- 3D beams, Frictionless contact, Physical shape functions, Rectangular cross-section
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 53, No. 9, 11.01.2002, p. 2019-2041.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Contact betweem 3D beams with rectangular cross-sections
AU - Litewka, Przemysaw
AU - Wriggers, Peter
PY - 2002/1/11
Y1 - 2002/1/11
N2 - In this paper frictionless contact between 3D beams is analysed. The beam model is used in which large displacements but small strains are allowed. The element is derived on the basis of updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact-search algorithm, which is necessary to determine an active set for the contact contribution treatment, is elaborated. The contact element uses the same set of physical shape functions as the beam element. A consistent linearization of contact contribution is derived and expressed in suitable matrix form, easy to use in FEM approximation. Several numerical examples depict the efficiency of the presented approach.
AB - In this paper frictionless contact between 3D beams is analysed. The beam model is used in which large displacements but small strains are allowed. The element is derived on the basis of updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact-search algorithm, which is necessary to determine an active set for the contact contribution treatment, is elaborated. The contact element uses the same set of physical shape functions as the beam element. A consistent linearization of contact contribution is derived and expressed in suitable matrix form, easy to use in FEM approximation. Several numerical examples depict the efficiency of the presented approach.
KW - 3D beams
KW - Frictionless contact
KW - Physical shape functions
KW - Rectangular cross-section
UR - http://www.scopus.com/inward/record.url?scp=0037196854&partnerID=8YFLogxK
U2 - 10.1002/nme.371
DO - 10.1002/nme.371
M3 - Article
AN - SCOPUS:0037196854
VL - 53
SP - 2019
EP - 2041
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 9
ER -