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Interface finite elements within a three dimensional frictional contact formulation
Author(s) -
Michaloudis Georgios,
Konyukhov Alexander,
Gebbeken Norbert
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610101
Subject(s) - finite element method , kinematics , covariant transformation , interface (matter) , representation (politics) , constitutive equation , associative property , coulomb's law , plasticity , geometry , coulomb , classical mechanics , mathematics , mathematical analysis , mechanics , physics , engineering , structural engineering , law , pure mathematics , bubble , quantum mechanics , maximum bubble pressure method , politics , political science , thermodynamics , electron
This contribution presents a finite element appropriate for the modeling of general interfaces, incorporating normal contact conditions as well as description of the tangential interaction on the interface. The finite element is formulated as a solid element and its kinematics take into account the kinematics of both Master and Slave . A covariant approach is adopted for the exact representation of the geometry of the interface and all parameters are expressed in terms of local coordinate systems. An elastoplastic associative constitutive law assuming plastic deformations, which is numerically implemented as a frictional law describes the tangential interaction of the contact surfaces. In this way a three‐dimensional Segment‐to‐Segment frictional contact formulation, applying an associative plasticity law instead of the Coulomb friction law is presented. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)