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A finite element formulation for rod/continuum interactions: The one‐dimensional slideline
Author(s) -
Maker B. N.,
Laursen T. A.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370102
Subject(s) - finite element method , constraint (computer aided design) , lagrangian , slip (aerodynamics) , structural engineering , mathematics , classical mechanics , computer science , engineering , geometry , physics , aerospace engineering
A finite element formulation is presented for treatment of the mechanical interaction between a rod‐like object and a continuous medium, as occurs, for example, between reinforcing steel and surrounding concrete. An impenetrability constraint restricts the rod's lateral motion relative to the continuum, while an accompanying constraint allows axial slip subject to a release criterion. Satisfaction of these constraints is enforced via application of penalty and augmented Lagrangian regularizations. The proposed implementation is suitable for both static and dynamic implicit equation solving schemes, making it useful for a wide range of problems.