## 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 language | English |
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Title of host publication | Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium |

Editors | M.M. Salama, H.C. Rhee, J.G. Williams, S. Liu |

Publisher | Publ by ASME |

Pages | 623-628 |

Number of pages | 6 |

Volume | 1 |

Edition | pt B |

Publication status | Published - 1990 |

Event | Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A - Houston, TX, USA Duration: 1990 Feb 18 → 1990 Feb 23 |

### Other

Other | Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A |
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City | Houston, TX, USA |

Period | 90-02-18 → 90-02-23 |

## All Science Journal Classification (ASJC) codes

- Engineering(all)