Stress concentration in elastic bodies with multiple concentrators / V. I. Gorbachev, R. R. Gadelev. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 6. P. 45-50 [Moscow Univ. Math. Bulletin. Vol. 69, N 6, 2014.].
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 by means 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, approximately featuring the interaction of concentrators, is studied. An approximate analytical expression for the stress concentration tensor is found in the plane with two circular holes and is compared with known solutions.
Key words: elasticity, stress concentration, concentration tensor.