Frictional contact between 3D beams

verfasst von
P. Litewka, Peter Wriggers
Abstract

The paper deals with frictional contact between 3D beams with rectangular cross-sections. In the analysis large displacements and small strains are allowed. Hence the cross-section behaves like a rigid body undergoing displacement and rotations. Contact between the beams is assumed to be point-wise between their edges. For the friction the simple non-associated Coulomb law is adopted. The analogy to rigid plasticity is used where stick and slip conditions are considered and backward Euler scheme is applied whenever the yield condition is violated. Contact constraints for normal and tangential part are introduced using the active set strategy and the penalty method. A consistent linearisation of both contact contributions is derived and expressed in suitable matrix form, easy to use in FEM approximations. Several numerical examples including the comparison to the full 3D-solid analysis depict the efficiency of the presented approach.

Organisationseinheit(en)
Institut für Baumechanik und Numerische Mechanik
Externe Organisation(en)
Poznan University of Technology
Typ
Artikel
Journal
Computational mechanics
Band
28
Seiten
26-39
Anzahl der Seiten
14
ISSN
0178-7675
Publikationsdatum
02.2002
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1007/s004660100266 (Zugang: Unbekannt)
 

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