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Title: Studies in contact mechanics with reference to fretting fatigue of gas turbine blade/disc attachments
Author: Davies, Mathew J.
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2012
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Explicit recipes have been derived for finding the contact law and contact pressure distribution for an asymmetric punch whose profile is defined in a piecewise quadratic sense, using uncoupled half-plane theory. An incremental formulation is provided for contact pressure, shear traction and relative strain between bodies brought into contact under the simultaneous proportional application of normal load, shear load and bulk tension and the condition for complete adhesion derived. When this condition is not satisfied, partial slip ensues. A complete account of all possible states for two load phases with different distributions of normal load, shear load and moderate bulk tension is given, viz. (i) two phases of full adhesion, (ii) sliding followed by full adhesion and (iii) full adhesion followed by partial slip. This approach is developed further to provide a solution for the complete stick-slip pattern and shearing traction distribution for periodic loading in P - Q space, including both the transient and steady state problem. A method for obtaining the steady state stick-slip zone evolution for a half-plane contact subject to a constant normal load and a periodically varying shear and bulk tension has been found. The solutions found include those for the 'two slip zone' regime, which implies 'lens like' loci in Q - σ space. Advancing stick has been demonstrated to occur for a smooth loop in Q - σ space.
Supervisor: Hills, David A. ; Hyde, Thomas Sponsor: Rolls-Royce plc ; Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Solid mechanics ; Mechanical engineering