Premium
Linear elastic contact problems using curved elements and including dynamic friction
Author(s) -
Pascoe S. K.,
Mottershead J. E.
Publication year - 1988
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.1620260712
Subject(s) - finite element method , displacement (psychology) , constraint (computer aided design) , boundary value problem , stiffness matrix , boundary (topology) , stiffness , scaling , matrix (chemical analysis) , contact mechanics , structural engineering , mechanics , mathematical analysis , mathematics , materials science , engineering , geometry , physics , psychology , psychotherapist , composite material
A finite element solution for two‐dimensional contact between elastic bodies is presented. Equations of constraint and equilibrium governing ‘sticking’ and ‘sliding’ contact are imposed at mesh contact boundaries and incorporated in the usual displacement solution routine. The method allows sliding over curved bodies and the dynamic coefficient of friction between the bodies is included in a direct (non‐iterative) solution at each loading stage. A progressive loading approach is implemented whereby full loads are initially applied. If a change in the contact boundary condition occurs, then scaling (reduction) of loads and displacements is undertaken until the first new boundary constraint becomes just operative again. The remainder of the load is then applied with a modified stiffness matrix and the process is repeated. Finally the mesh is fully loaded and the contact boundary conditions are satisfied. Sample problems include comparison of the finite element results with classical solutions from the literature.