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An effective two‐dimensional frictional contact model for arbitrary curved geometry
Author(s) -
Saleeb A. F.,
Chen K.,
Chang T. Y. P.
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.1620370804
Subject(s) - tangent , finite element method , kinematics , contact force , stiffness , type (biology) , geometry , mathematics , contact geometry , contact mechanics , tangent stiffness matrix , basis (linear algebra) , surface (topology) , coulomb friction , mathematical analysis , classical mechanics , physics , engineering , structural engineering , stiffness matrix , nonlinear system , geology , paleontology , quantum mechanics
A finite element model is developed on the basis of a variational formulation of the perturbed Lagrange type and the classical Coulomb law of friction, for the analysis of frictional contact problems in two dimensions. The model accounts for all geometric/kinematic non‐linearities associated with large sliding motions as well as arbitrary contact‐surface curvatures. Explicit forms for the contact force and tangent stiffness operators and a penalty‐type format is utilized in the implementation. An extensive number of numerical simulations are used to demonstrate the effectiveness and practical usefulness of the model.