An improved finite element scheme for elastic contact problems with friction

H. S. Jing, M. L. Liao

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


The method proposed by Sachdeva and Ramakrishnan [Int. J. Nwner. Meth. Engng 17, 1257-1271 (1981)] for elastic contact problems with friction is improved by introducing the concept of a contact node pair. The displacements and nodal forces of two contacting nodes are treated as a single variable. The compliance matrix of all the contact node pairs is used rather than the flexibility matrix of each body during iterations. Compatibility of displacements along the contact area is applied in a tangential direction as well as a normal direction for sticking node pairs while Coulomb's friction law is used for sliding nodes. All the above relations are written in terms of node pairs, which results in great savings in computer storage and computation time. Several examples for three different kinds of contact, i.e. receding, advancing and stationary, are given to demonstrate the validity of the present scheme.

Original languageEnglish
Pages (from-to)571-578
Number of pages8
JournalComputers and Structures
Issue number5
Publication statusPublished - 1990

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications


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