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Mechanics of dynamic contact of coated substrate and rigid cylindrical ended punch

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Abstract

The dynamic contact mechanics of isotropic elastic coating bonded to homogeneous substrate was examined. The coating is indented by a sliding rigid punch of a cylindrical profile. The rigid punch moves over the coating at a steady subsonic speed. To determine contact stresses, an analytical method based on the singular integral equation technique is put forward. Governing partial differential equations are derived considering general theory of elastodynamics. The influences of dimensionless punch speed, mass density ratio, shear modulus, coefficient of friction, relative coating thickness and Poisson’s ratio on contact stresses and contact related parameters were found. Comparison of the contact stresses computed by elastodynamic and elastostatic theories clearly shows that the relative difference between these two results is quite remarkable. Hence, in sliding contact problems incorporating punches with relatively high speed, elastodynamic theory is required to find more realizable stress results.

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Correspondence to Mehmet N. Balci.

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Recommended by Associate Editor Heung Soo Kim

Mehmet N. Balci is a Ph.D. candidate in Mechanical Engineering at Middle East Technical University (METU), Turkey. His research interests are analytical methods in engineering, finite element method, contact mechanics of coated and layered structures.

Serkan Dag received his B.S. and M.S. in Mechanical Engineering from Middle East Technical University (METU), Turkey. Then, he received his Ph.D. from Lehigh University, USA. He is a Full Professor in Mechanical Engineering at Middle East Technical University (METU), Turkey. His research interests are in the fields of solid mechanics, mechanics of micro-nano structures, fracture mechanics, contact mechanics, computational and analytical methods.

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Balci, M.N., Dag, S. Mechanics of dynamic contact of coated substrate and rigid cylindrical ended punch. J Mech Sci Technol 33, 2225–2240 (2019). https://doi.org/10.1007/s12206-019-0425-8

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  • DOI: https://doi.org/10.1007/s12206-019-0425-8

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