Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Indentation pressure of a smooth circular punch


Author: E. Levin
Journal: Quart. Appl. Math. 13 (1955), 133-137
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/69736
MathSciNet review: 69736
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A smooth, flat, rigid punch under increasing normal load presses against a half space of a perfectly plastic material which obeys Tresca's yield criterion. An admissible velocity field is constructed for an arbitrary smooth punch hence, for any particular case, a limit design theorem of Drucker, Prager and Greenberg may be used to compute an upper bound for the punch indentation pressure. A lower bound for any convex area of indentation has been given by Shield and Drucker. The results of the present paper are used to compute an upper bound for a punch with circular cross section. It is conjectured that this is an upper bound for an arbitrary punch.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.2X

Retrieve articles in all journals with MSC: 73.2X


Additional Information

DOI: https://doi.org/10.1090/qam/69736
Article copyright: © Copyright 1955 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website