The Application of Newton’s Method to the Problem of Elastic Stability

[+] Author and Article Information
E. Riks

National Aerospace Laboratory, Voorsterweg 31, NOP, Post Emmeloord, The Netherlands

J. Appl. Mech 39(4), 1060-1065 (Dec 01, 1972) (6 pages) doi:10.1115/1.3422829 History: Received March 08, 1971; Revised June 15, 1971; Online July 12, 2010


The numerical solution of problems of elastic stability through the use of the iteration method of Newton is examined. It is found that if the equations of equilibrium are completed by a simple auxiliary equation, problems governed by a snapping condition can, in principle, always be calculated as long as the problem at hand is properly formulated. The effectiveness of the proposed procedure is demonstrated by means of an elementary example.

Copyright © 1972 by ASME
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