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Smooth convex limit surfaces in the space of symmetric second-rank tensors
Authors:A Lagzdin'
Abstract:Equations are proposed to describe smooth (regular) convex hexagonal and triangular curves in the deviatoric plane. The equations are used to construct smooth convex limit surfaces for media whose properties are arbitrarily anisotropic. The results supplement the findings in A. Lagzdin' and A. Zilauts, Mekh. Kompozitn. Mater.,32, No. 3, 339–349 (1996)], where the third invariant of a tensor was introduced into the limit-surface equation by means of singular deviatoric curves.Institute of Polymer Mechanics of the Latvian Academy of Sciences, Riga, LV-1006 Latvia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 33, No. 2, pp. 171–181, March–April, 1997.
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