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An improved iterative method for large strain viscoplastic problems

✍ Scribed by H.-L. Cao; M. Potier-Ferry

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 167 KB
Volume: 44
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990120)44:2<155::aid-nme484>3.0.co;2-m

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✦ Synopsis

In this work, some techniques are proposed to improve the usual Newton-Raphson Method (NRM) used in the numerical analysis of large strain viscoplastic problems. These techniques, based on the ÿrst-order perturbation technique, allow to deÿne an adaptive step strategy and to improve the trial solution (guessed solution) for the ÿrst iteration at each step. To assess the e ciency of the proposed techniques, a number of numerical examples are presented: necking of a circular bar, plane strain bending, and an axisymmetric hydrostatic bulging process. Compared with the classical Newton-Raphson method, the proposed scheme requires less matrix inversions, less time steps and less CPU time. For a typical axisymmetric hydrostatic bulging process (606 degrees of freedom), the proposed method needs 5 times less matrix inversions, 1•7 times less time steps, and 4 times less CPU time.

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