Abstract
This paper concerns the contact problem for an elastic strip with rigidly fixed bottom line. The upper strip line is pressed by the semi-infinite punch with rounded edge under uniformly distributed normal and tangential loads. The friction forces are taken into account in the contact area. The exact analytic solution is obtained by using the Wiener–Hopf method. A factorization of the functional equation coefficient is performed in the form of infinite products. We have found the distributions of the contact stress and of the tangential and normal stresses on the bottom strip line. Moreover, for the stress-free part of the upper strip line the normal displacement is calculated. The stress distribution inside the strip is derived in quadratures. Contours of principal shear stress are built, and the location of its maximum value is established in dependence on the rounding parameter of the punch edge and the friction coefficient.
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Klimchuk, T.V., Ostrik, V.I. Frictional contact between an elastic strip and a semi-infinite punch with rounded edge. Acta Mech 228, 3619–3631 (2017). https://doi.org/10.1007/s00707-017-1866-8
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DOI: https://doi.org/10.1007/s00707-017-1866-8