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Investigation of Fretting Fatigue Problem between a Tilted Wedge and a Half-Plane using Analytical and Numercial Methods

Naderi, Davood | 2009

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 39058 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Adib Nazari, Saeed
  7. Abstract:
  8. Mode I and II stress intensity factors are derived for an inclined crack breaking the surface of a half-plane which is subjected to an un-symmetrical singular contact loading due to the contact of a tilted wedge with the half-plane. The method used is that of replacing the crack by a continuous distribution of edge dislocations and assume the crack to be traction-free over its entire length. A traction free crack is achieved by cancelling the tractions along the crack site that would be present if the half-plane was un-cracked. The stress distribution for an elastic uncracked half-plane subject to a tilted wedge shaped indenter is derived analytically using the Muskhelishvili’s potential function method. The problem of a cracked half-plane reduces to the solution of two coupled singular integral equations for the determination of the dislocation density distribution from which the modes I and II stress intensity factors can be obtained. These integrals are solved analytically and numerically. The achieved results have been compared with the results of Finite Element analysis where a good coincidence is observed. This thesis demonstrates that the method of distributed dislocations is well suited to surfacebreaking cracks subject to contact loading and presents new stress intensity factor results for a variety of different parameters of the considered problem such crack length and wedge tilt angle
  9. Keywords:
  10. Fretting Fatigue ; Contact Mechanics ; Muskhelishvili Potential Function ; Singular Integral ; Tilted Wedge

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