We consider problems governing a contact between an elastic plate with a thin elastic inclusion and a thin elastic obstacle and study the equilibrium of the plate with or without cuts. We discuss various statements and establish the existence of a solution. We analyze the limit problem as the rigidity parameter of the elastic inclusion tends to infinity.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki17, No. 4, 2017, pp. 94-111.
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Furtsev, A.I. On Contact Between a Thin Obstacle and a Plate Containing a Thin Inclusion. J Math Sci 237, 530–545 (2019). https://doi.org/10.1007/s10958-019-04179-z
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DOI: https://doi.org/10.1007/s10958-019-04179-z