Open AccessAn Elastic Half Space with a Moving Punch
Author(s) -
Sandip K. Saha,
Vikash Kumar,
Apurba Das
Publication year - 2021
Publication title -
wseas transactions on applied and theoretical mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 10
eISSN - 2224-3429
pISSN - 1991-8747
DOI - 10.37394/232011.2021.16.27
Subject(s) - integral equation , half space , contact mechanics , displacement (psychology) , stress intensity factor , fourier transform , mathematical analysis , mathematics , torque , component (thermodynamics) , stress (linguistics) , integral transform , space (punctuation) , geometry , structural engineering , computer science , physics , finite element method , engineering , psychology , linguistics , philosophy , psychotherapist , thermodynamics , operating system
The dynamic problem of a punch with rounded tips moving in an elastic half-space in a fixed direction has been considered. The static problem of determining stress component under the contact region of a punch has also been solved. Fourier integral transform has been employed to reduce the problems in solving dual integral equations. These integral equations have been solved using Cooke’s [1] result (1970) to obtain the stress component. Finally, exact expressions for stress components under the punch and the normal displacement component in the region outside the punch have been derived. Numerical results for stress intensity factor at the punch end and torque applied over the contact region have been presented in the form of graph.