J. Phys. IV France 10 (2000) Pr9-403-Pr9-408
Numerical study of the propagation of an adiabatic shear bandA.-S. Lebouvier, P. Lipinski and A. Molinari
Laboratoire de Physique et Mécanique des Matériaux, ISGMP, Université de Metz, École Nationale d'Ingénieurs, Ile du Saulcy, 57045 Metz, France
The dynamic propagation of an adiabatic shear band is modellised by numerical simulations. A layer of finite length and finite thickness is submitted to simple shear. After a transient, a steady state is attained in which the shear band propagates with a constant velocity. The steady shear band speed is estimated. Comparisons are made with experimental results and with numerical simulations realised for impacted prenotched specimens. The influence of the applied velocity V on the shear band speed C is analysed. Two distinct stages are observed : the first one shows a linear variation of C with V and the second is characterized by a weak dependence of C upon V. An energetical criterion enables to define by analytical means the applied velocity V* characterizing the transition between these two stages. The influence of the elastic shear modulus, of the mass density and of the yield stress are studied.
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