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Supersonic and subsonic stages of dynamic contact between bodies
 

Summary: Supersonic and subsonic stages of dynamic
contact between bodies
BY M. ADDA-BEDIA
1,
* AND STEFAN G. LLEWELLYN SMITH
2
1
Laboratoire de Physique Statistique de l'Ecole Normale Supe´rieure,
24 rue Lhomond, 75231 Paris, France
2
Department of Mechanical and Aerospace Engineering, Jacobs School of
Engineering, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA
Using an acoustic model for the full elastic problem, the early times of the two-
dimensional impact of a disc on a rigid plane, or impact between two identical discs, are
analysed. We examine some aspects of wave propagation during the impact process and
specify stress distributions near the impact region. Unlike the impact of two spheres for
which the quasi-static local contact approach of Hertz is well adapted, a complete
dynamical approach is necessary for the dynamic contact of two discs. At short times
after impact, we show the existence of supersonic effects and we determine the shape of
the corresponding stress waves that travel from the impact region through the unstressed

  

Source: Adda-Bedia, Mokhtar - Laboratoire de Physique Statistique, Département de Physique, École Normale Supérieure

 

Collections: Physics