Abstract
In this work, we consider the problem of interaction of elastic body with scalar field. The general solution of a uniform system of equations (of elasticity theory) for the static case is solved by using the Papkovich representation method. The contact problem is solved by using a special boundary-contact condition, in the case where the contact surface is a stretched spheroid. The uniqueness theorem for the solution is also proved. Solutions are obtained in the form of absolutely and uniformly convergent series.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 101, Mathematical Analysis and Mathematical Physics, 2016.
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Giorgashvili, L., Karseladze, G. & Sadunishvili, G. Interaction of Elastic and Scalar Fields. J Math Sci 235, 604–621 (2018). https://doi.org/10.1007/s10958-018-4086-4
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DOI: https://doi.org/10.1007/s10958-018-4086-4