Abstract
The stress concentration is considered in the case of two and more elastic concentrators in an elastic body. A single concentrator, in the absence of the others, creates its stress field calculated using an external field with the aid of the concentration tensor operator. The stress field from several concentrators is replaced by the interaction of the stress fields of each of the concentrators. The tensor theory of stress concentration from several concentrators of various nature is used to describe their interaction. An approximate analytical expression for the stress concentration tensor is found in the plane with two circular holes and is compared with known solutions.
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Original Russian Text © V.I. Gorbachev. R.R. Gadelev. 2014, published in Vestnik Moskovskogo Universiteta, Matematika, Mekhanika, 2014, Vol. 69, No. 6, pp. 45–50.
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Gorbachev, V.I., Gadelev, R.R. Stress concentration in elastic bodies with multiple concentrators. Moscow Univ. Mech. Bull. 69, 127–132 (2014). https://doi.org/10.3103/S0027133014060016
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DOI: https://doi.org/10.3103/S0027133014060016