Abstract
Presented in this paper is a consistent approach to the formulation of a mixed finite element method for friction-contact analysis. Finite element equations are derived from a perturbed Lagrangian variational principle, based on which both the displacements and contact pressure in an element were independently approximated. In the finite element approximation, special attention was given to the choice of pressure parameters by suppressing all non-contact modes of deformation. This process is able to alleviate any numerical instability problems. The effect of interface friction between two bodies in contact is modeled by a regularized Coulomb's law. Finite element stiffness equations for 4-noded and 6-noded two-dimensional contact elements were derived. Four examples are included to demonstrate the present formulation.
| Original language | English |
|---|---|
| Pages (from-to) | 223-242 |
| Number of pages | 20 |
| Journal | Computers and Structures |
| Volume | 32 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1989 |
| Externally published | Yes |