On an indentation of a circular cylindrical punch into an elastic half‐space under friction
Vahram N. Hakobyan, Lilit L. Dashtoyan, Harutyun A. Amirjanyan
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Published: Feb 21, 2024
DOI: 10.1002/zamm.202300743
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Abstract The paper discusses an axisymmetric contact problem of indentation of a circular cylindrical punch with a flat base into a homogeneous elastic half‐space with friction. It is assumed that the shear contact stresses are related to the normal contact pressure by the law of dry friction, in which the coefficient of friction depends on the radial coordinates of the points of the surfaces in contact and is directly proportional to them. With the help of rotation operators, the solution of the stated problem is reduced to the solution of a singular integral equation of the second kind with variable coefficients, and its closed solution in quadratures is constructed. The numerical calculations display the patterns of change in contact stresses and rigid displacement of the punch depending on the maximum value of the friction coefficient.
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