Two solution algorithms for the analysis of nonlinear problems

C. N. Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Two algorithms for the nonlinear finite element analysis are described. These algorithms concern a relaxation of the response increments defined by the modified Newton-Raphson procedure. Two different error criterions are adopted for determining the relaxation parameters. The formulation is based on the secant relation established by the initial response prediction. The relaxation parameters are simply defined by the inner products of a certain combination involving initial response increments and residual force vectors. Numerical results show that these algorithms are reliable and effective in accelerating the convergence rate of the constant stiffness iteration, with low cost of numerical computations and storage requirements.

Original languageEnglish
Title of host publicationProceedings of the International Offshore Mechanics and Arctic Engineering Symposium
EditorsM.M. Salama, H.C. Rhee, J.G. Williams, S. Liu
PublisherPubl by ASME
Pages623-628
Number of pages6
Volume1
Editionpt B
Publication statusPublished - 1990
EventProceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A - Houston, TX, USA
Duration: 1990 Feb 181990 Feb 23

Other

OtherProceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A
CityHouston, TX, USA
Period90-02-1890-02-23

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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