This article is cited in 1 paper

Effect of an electric current on necking in a tensile rod

A. A. Bychkov, D. N. Karpinskii

Institute of Mechanics and Applied Mathematics, Rostov State University, Rostov-on-Don 344090

Abstract: Necking conditions in a tensile thermoviscoplastic rod with passage through it of an alternating electric current are studied. Modeling is performed with allowance for the complex constitutive relations for the rod material, heat transfer in the rod, and the current distribution across the section of the rod as a function of the current frequency (skin effect). The stability of uniform tension is examined by linear analysis of perturbations using the Routh–Hurwitz theory. The results were refined by nonlinear analysis taking into account the effect of the amplitude curve of perturbations on the stability of plastic deformation.

UDC: 539.374:537.321/322

Received: 09.01.1998

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:5, 930–935

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