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 language | English (US) |
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Pages (from-to) | 801-815 |
Number of pages | 15 |
Journal | International Journal of Solids and Structures |
Volume | 47 |
Issue number | 6 |
DOIs | |
State | Published - 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