Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Statics and Inertial Dynamics of a Ruck in a Rug Dominic Vella,1,2
 

Summary: Statics and Inertial Dynamics of a Ruck in a Rug
Dominic Vella,1,2
Arezki Boudaoud,1
and Mokhtar Adda-Bedia1
1
Laboratoire de Physique Statistique, Ecole Normale Supe´rieure, UPMC Paris 06, Universite´ Paris Diderot, CNRS,
24 rue Lhomond, 75005 Paris, France
2
ITG, Department of Applied Mathematics and Theoretical Physics, University of Cambridge,
Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
(Received 18 May 2009; published 21 October 2009)
We consider the familiar problem of a bump, or ruck, in a rug. Under lateral compression, a rug bends to
form a ruck--a localized region in which it is no longer in contact with the floor. We show that when the
external force that created the ruck is removed, the ruck flattens out unless the initial compression is
greater than a critical value, which we determine. We also study the inertial motion of a ruck that is
generated when one end of the rug is moved rapidly. We show that the equations of motion admit a
traveling ruck solution for which a linear combination of the tension and kinetic energy is determined by
the ruck size. We confirm these findings experimentally. We end by discussing the potential implications
of our work for the analogous propagation of localized slip pulses in the sliding of two bodies in contact.
DOI: 10.1103/PhysRevLett.103.174301 PACS numbers: 46.40.Cd, 61.72.Hh, 91.55.Fg

  

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

 

Collections: Physics