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On linear constraints for Newton-Raphson corrections and critical point searches in structural F.E. problems
1989 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 28, no 6, 1317-1334 p.Article in journal (Refereed) Published
Abstract [en]

The paper discusses the introduction of constraining equations in the tangential stiffness relation used to calculate the responses to different load cases in solution algorithms for non-linear mechanical Finite Element (F.E.) problems. An alternative to the normal two-phase solution method is discussed. This method is used to represent different iteration constraints, and in conjunction with the search for critical solution points. Numerical tests are presented, evaluating the efficiency of different iteration constraints for a model problem. Practically useful criteria for critical points are discussed. The basic methods for search of such points and some numerical aspects are discussed and evaluated for three different problems.

Place, publisher, year, edition, pages
1989. Vol. 28, no 6, 1317-1334 p.
Keyword [en]
Computer Programming, Plates--Buckling, Structural Analysis, Linear Constraints, Newton-Raphson Corrections, Mathematical Techniques
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-117954OAI: diva2:603962

Correspondence Address: Eriksson, Anders; Royal Inst of TechnologySweden

NR 20140805Available from: 2013-02-07 Created: 2013-02-07 Last updated: 2013-02-07Bibliographically approved

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