Abstract
We propose a direct proof of the identity of the concepts of slippage and the Koiter version of the theory of plasticity based on parallel translation of planes enveloping the Tresk viscosity surface. One figure. Bibliography: 5 titles.
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Literature cited
V. T. Koiter, “The relations between stresses and strains. Variational theorems and uniqueness theorems for elastoplastic materials with a singular viscosity surface,”Mekhanika, No. 2, 117–121 (1960).
N. V. Efimov and E. R. Rozendorn,Linear Algebra and Multidimensional Geometry in Russian], Nauka, Moscow (1974).
Ya. F. Andrusik, “A version of Koiter's plasticity theory for the two-dimensional stressed state,” in:Proceedings of the Conference on Strength and Plasticity [in Russian], Perm', 6–8 Dec. (1983), pp. 8–9.
Ya. F. Andrusik, “On a plasticity condition and the determining relations for complex loading,” in:Creep in Structures: Proceedings of the Second All-Union Conference [in Russian], Novosibirsk, 20–22 Nov. (1984), pp. 5–6.
K. N. Rusinko and Ya. F. Andrusik, “ Orthogonal fracture of loading trajectories in the context of the generalized Koiter theory,” in:Strength of Materials and Structural Elements under a Complex Loaded State [in Russian], Naukova Dumka, Kiev (1986), pp. 223–228.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 55–57.
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Andrusik, Y.F., Rusinko, K.N. A new approach to the phenomenological interpretation of the concept of slippage. J Math Sci 63, 355–357 (1993). https://doi.org/10.1007/BF01255742
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DOI: https://doi.org/10.1007/BF01255742