The generalized advancing conformal contact problem with friction, pin loads and remote loading - Case of rigid pin

Narayan Sundaram, T. N. Farris

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

The advancing, frictional contact problem for a rigid pin indenting an infinite plate with a circular hole is considered. The formulation is general, and considers remotely applied plate-stresses in addition to pin loads. Using the theory of generalized functions, it is found that the governing equation in full sliding is a singular integro-differential equation (SIDE). Partial-slip behavior is governed by an implicit, coupled singular integral equation (SIE) pair. Numerical solutions are presented for both types of problems. It is found that the contact tractions in monotonic loading become independent of the coefficient of friction above a certain threshold value. Finally, problems involving typical 'fretting-type' pin loads with and without remote-stresses are also investigated, revealing remarkable effects of the degree of conformality and load path on the steady-state traction distributions.

Original languageEnglish (US)
Pages (from-to)801-815
Number of pages15
JournalInternational Journal of Solids and Structures
Volume47
Issue number6
DOIs
StatePublished - Mar 15 2010

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Keywords

  • Conforming contact
  • Contact
  • Cradling
  • Friction
  • Integral equation
  • Pin-loaded connection
  • Rivet
  • Singular integrals
  • Singular integro-differential equation

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