Nonlinear finite element techniques using and object-oriented code

A. Villa, A. Rodríguez, A. Huerta

Nonlinear finite element techniques using and object-oriented code

A. Villa, A. Rodríguez, A. Huerta

Abstract

When treating nonlinear problems with the Finite Element formulation, the need to solve nonlinear sets of equations arises. Classically, those nonlinear sets of equations were solved by performing an incremental / iterative analysis with a full Newton-Raphson method.

Today, one can chose from a wide range of methods. The modifications to the original fNR method use tangent stiffness matrices, which are updated at most once per increment. Quasi-Newton methods use secant matrices instead of tangent matrices. Secant-Newton methods are simplifications of the Quasi-Newton.

This work deals, in particular, with the implementation of these methods in an object-oriented code and with the comparison between them on several tests. The expected behavior of the methods is observed from the results.
Also, an acceleration line-search technique is implemented to improve the results supplied by the previous methods.

How to cite

A. Villa, A. Rodríguez and A. Huerta, Nonlinear finite element techniques using and object-oriented code, Monograph CIMNE (1995). M31 URL https://www.scipedia.com/public/Villa_et_al_2019a

Browse history From year (and earlier): From month (and earlier): Tag filter:

Diff selection: Mark the radio boxes of the revisions to compare and hit enter or the button at the bottom.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.

(cur | prev) 12:10, 29 January 2019‎ Cinmemj (talk | contribs)‎ m . . (994 bytes) (0)‎ . . (Cinmemj moved page Draft Samper 955698187 to Villa et al 2019a)
(cur | prev) 12:10, 29 January 2019‎ Cinmemj (talk | contribs)‎ . . (994 bytes) (-5,950)‎
(cur | prev) 12:08, 29 January 2019‎ Cinmemj (talk | contribs)‎ . . (6,944 bytes) (+6,944)‎ . . (Created page with "==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviatio...")

Document information

Document Score

Share this document

claim authorship