We propose a technique for the analytic investigation of features of contact stresses in the vicinity of the nonstationary moving boundary of a contact region in plane nonstationary contact problems with moving boundaries, which is based on the reduction of a boundary two-dimensional singular integral equation resolving the problem to a system of two one-dimensional singular equations. As tools of research, a method for the reduction of singular integral equations to an equivalent Riemann type problem for piecewise analytic functions and a technique of fractional integro-differentiation are used. It is shown that, on the moving boundary of the contact region, a power singularity, the order of which depends on the velocity of the boundary, takes place.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 2, pp. 202–207, April–June, 2008.
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Tarlakovskiy, D.V., Fedotenkov, G.V. Analytic investigation of features of stresses in plane nonstationary contact problems with moving boundaries. J Math Sci 162, 246–253 (2009). https://doi.org/10.1007/s10958-009-9635-4
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DOI: https://doi.org/10.1007/s10958-009-9635-4