Abstract
A definition of a univalently stressed contour in a compressible isotropic plane with a curvilinear cut is given, which extends the notion of an equiresistant contour. Conditions for elliptic and square contours to be univalently stressed are formulated and proved.
References
N. I. Muskhelishvili,Some Principal Problems in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).
A. S. Kosmodamianskii,Plane Problems in the Theory of Elasticity for Plates with Holes, Cuts, and Protuberances [in Russian], Vyshcha Shkola, Kiev (1975).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 295–296, February, 1995.
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Lozhkin, V.N. Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut. Ukr Math J 47, 347–350 (1995). https://doi.org/10.1007/BF01056726
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DOI: https://doi.org/10.1007/BF01056726