The subject of this investigation is the plane strain elasticity problem of a finite width semi-infinite strip with its end pressed against a half-plane of the same material with friction. From the existing integral equation solution for a perfect bond, it is shown that the length of the zone of frictional slip and the value of the slip displacement can both be inferred. It is further shown how this method allows a finite element stress analysis of a structure, obtained with the simple assumption of a perfect bond, to be used instead of the more complicated finite element structural analysis with frictional slip. Nonetheless, the results of this simpler finite element analysis can be used to infer the length of the frictional slip zone and the magnitude of the slip displacement. It is expected that this method will be valuable in the analysis of the mechanics of fretting. Damage due to fretting fatigue is initiated due to frictional slip near the edges of the interface between two connected materials. The stress analysis of structures, which includes these frictional slip zones, is considerably more complicated than it is for a perfect bond, often making it impractical to include in a comprehensive finite element model of the complete structure. Thus, the methodology used in this paper should allow the size of the frictional slip zones and the frictional slip displacements to be inferred directly from the stress analysis for a perfect bond.
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June 2018
Research-Article
A Semi-Infinite Strip Pressed Against an Elastic Half-Plane With Frictional Slip
George G. Adams
George G. Adams
Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115
e-mail: adams@coe.neu.edu
Northeastern University,
Boston, MA 02115
e-mail: adams@coe.neu.edu
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George G. Adams
Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115
e-mail: adams@coe.neu.edu
Northeastern University,
Boston, MA 02115
e-mail: adams@coe.neu.edu
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 3, 2018; final manuscript received February 23, 2018; published online March 20, 2018. Assoc. Editor: Shaoxing Qu.
J. Appl. Mech. Jun 2018, 85(6): 061001 (7 pages)
Published Online: March 20, 2018
Article history
Received:
January 3, 2018
Revised:
February 23, 2018
Citation
Adams, G. G. (March 20, 2018). "A Semi-Infinite Strip Pressed Against an Elastic Half-Plane With Frictional Slip." ASME. J. Appl. Mech. June 2018; 85(6): 061001. https://doi.org/10.1115/1.4039456
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