IJPAM: Volume 12, No. 3 (2004)
NUMERICAL INVESTIGATION OF THE
PENETRATION OF A RIGID
BODY INTO THE SOIL
PENETRATION OF A RIGID
BODY INTO THE SOIL
A. Kharab
, R. Kharab
Department of Mathematics
King Fahd University of Petroleum and Minerals
Dhahran 31261, SAUDI ARABIA
e-mails: awkharab@dpc.kfupm.edu.sa
Laboratoire de Mathematiques
UMR 6085 CNRS, UFR des Sciences-Site Colbert
Universite de Rouen
76821 Mont-Saint-Aignan Cedex, FRANCE
e-mail: rachid.kharab@univ-rouen.fr
, R. Kharab
Department of Mathematics
King Fahd University of Petroleum and Minerals
Dhahran 31261, SAUDI ARABIA
e-mails: awkharab@dpc.kfupm.edu.sa
Laboratoire de Mathematiques
UMR 6085 CNRS, UFR des Sciences-Site Colbert
Universite de Rouen
76821 Mont-Saint-Aignan Cedex, FRANCE
e-mail: rachid.kharab@univ-rouen.fr
Abstract.Conservation laws are used to model the penetration of a rigit body into a
soil medium. For mathematical simplicity, an elastic-plastic model is assumed
to represent the continum. Sample numerical solutions are presented for body
penetration into a soil medium. Response quantities evaluated include the
density variation within the penetrated medium, the depth and velocity are
presented as function of the time during penetration.
Received: February 2, 20043
AMS Subject Classification: 35H05
Key Words and Phrases: rigid body, penetration, soil medium, elastic-plastic
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 3
