J. Cirne, R. Dormeval, et al.
J. Phys. IV France 134 (2006) 251-256
Dynamic plastic necking instabilities for a biaxially pulled plateD. Jouve
CEA Centre de Bruyères-le-Châtel, France
Published online: 26 July 2006
The growth-rate and the modes of dynamic plastic necking instabilities for a biaxially pulled plate are calculated analytically. The material is supposed incompressible and elastoplastic, and it obeys the Mises yield criterion. The yield-stress follows the SCG model. The mass and momentum conservation laws are linearized by supposing that the ground flow perturbation has low amplitude and high growth-rate. The velocity perturbation is decomposed into Fourier modes. The results of the analysis agree with the results of Shenoy and Freund for a uniaxially pulled plate .
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