Analytical description plastic strain distribution of plane sample in tension

Received 20 December 2011; Accepted 24 January 2012;
This paper is written in Russian
Citation: Y.Y. Deryugin. Analytical description plastic strain distribution of plane sample in tension. Lett. Mater., 2011, 1(4) 231-237


The method for analytical description of the non-uniform plastic deformation in the local zone of a flat specimen under tension is proposed, which allows theoretically to describe the shape of the neck and the strain distribution in that zone. It allows simulating the real distribution non-uniform deformation and the shape of the neck according to the experimental measurements. That task is actual in connection with the important problem of solid mechanics associated with the transition from experimental curves “loading – elongation” to the diagrams of “stress-strain” for the material in the zone of minimum cross section of the specimen where plastic deformation is very non-uniform and is developing with a maximum speed.

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