We pose and study a class of contact problems on the inverse influence of deformation on the action of forces applied to a die. The problems are formulated in the form of an operator equation for displacements and rotations of the die. The analytic solutions for two- and three-dimensional coupled problems are obtained in the case where the die suffers the action of gravitational and magnetic fields.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 2, pp. 75–84, April–June, 2017.
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Kuz’menko, V.I., Plashenko, S.O. Coupled Problems of Contact Interaction. J Math Sci 243, 85–100 (2019). https://doi.org/10.1007/s10958-019-04528-y
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DOI: https://doi.org/10.1007/s10958-019-04528-y