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Solution techniques for non−linear finite element problems

✍ Scribed by P. G. Bergan; G. Horrigmoe; B. Bråkeland; T. H. Søreide

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
989 KB
Volume
12
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The paper presents a classification of mathematical commonly encountered in connection with solution of non−linear finite element problems. The principal methods for numerical solution of the non−linear equations are surveyed and discussed. Special emphasis is placed upon the description of an automatic load incrementation procedure with equilibrium iterations. It is shown how this algorithm can be adapted for solving problems involving instabilities, snap−through and snap−back. A simple scalar quantity denoted the current stiffness parameter is suggested; this parameter is used to characterize the overall behaviour of non−linear problems. It can also be used as a steering parameter in the solution process. The use of the present technique is illustrated by several examples.

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