A Generalization of the Upper Bound Method With Particular Reference to the Problem of a Ploughing Indenter

[+] Author and Article Information
A. Azarkhin, O. Richmond

Alcoa Laboratories, Alcoa Center, PA 15069

J. Appl. Mech 56(1), 10-14 (Mar 01, 1989) (5 pages) doi:10.1115/1.3176029 History: Received September 22, 1987; Revised February 29, 1988; Online July 21, 2009


An algorithm based on a combination of the upper bound method and finite element repesentation has been developed. The algorithm is applied to the problem of a rigid indenter ploughing through a rigid/perfectly-plastic material. Numerical examples are given and the results are compared with previous approximate solutions. Limitations of the upper bound method are discussed.

Copyright © 1989 by ASME
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