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On a class of exact solutions of the theory of ideal plasticity. (Russian) Zbl 0802.73025

Ivlev, D. D. (ed.), Studies on boundary value problems and their applications. Interuniversity collection of scientific works. Cheboksary: Chuvashskij Gosudarstvennyj Universitet, 87-91 (1987).
Summary: A generalization of the solution of Nadai for flow of plastic material between rough cylindrical surfaces has been obtained under the assumption that components of the stressed and deformed state do not depend on the coordinate \(z\). In contrast to the solution of Nadai, the component \(\tau_{\rho \vartheta}\) is unequal to 0. Besides, a generalization of the solution of Ivlev for flow of plastic material along rough cylinders has been obtained under the assumption that components of the stressed and deformed state do not depend on the coordinate \(\vartheta\). In this solution, in contrast to the previous one, the component \(\tau_{\rho z}\) is unequal to 0.
For the entire collection see [Zbl 0742.00029].

MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type