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RESEARCH PAPERS: Fracture Mechanics, Contact Problems, and Forming Limits

A Modified Conjugate Gradient Method for Frictionless Contact Problems

[+] Author and Article Information
W. R. Marks

Process Machinery Division, Rexnord Inc., Milwaukee, Wis.

N. J. Salamon

Dept. of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, W.V.

J. Vib., Acoust., Stress, and Reliab 105(2), 242-246 (Apr 01, 1983) (5 pages) doi:10.1115/1.3269093 History: Received April 22, 1982; Online November 23, 2009

Abstract

The solution of elastic bodies in contact through the application of a conjugate gradient technique integrated with a finite element computer code is discussed. This approach is general, easily applied, and reasonably efficient. Furthermore the solution method is compatible with existing finite element computer programs. The necessary algorithm for use of the technique is described in detail. Numerical examples of two-dimensional frictionless contact problems are presented. It is found that the extent of the contact region and the displacements and stresses throughout the contacting bodies can be economically computed with precision.

Copyright © 1983 by ASME
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