Newton’s Method Applied to Problems in Nonlinear Mechanics

[+] Author and Article Information
G. A. Thurston

The Martin-Marietta Corporation, Denver, Colo.

J. Appl. Mech 32(2), 383-388 (Jun 01, 1965) (6 pages) doi:10.1115/1.3625811 History: Received April 28, 1964; Revised August 25, 1964; Online September 15, 2011


Many problems in mechanics are formulated as nonlinear boundary-value problems. A practical method of solving such problems is to extend Newton’s method for calculating roots of algebraic equations. Three problems are treated in this paper to illustrate the use of this method and compare it with other methods.

Copyright © 1965 by ASME
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