Une application de Ia methode LA TIN au calcul multiresolution de structures non lineaires
Keywords:
Structural mechanics, nonlinear computations, multiple solutionAbstract
The numerical solution process for complex, non-linear problems requires a computation time that winds up becoming prohibitive. Moreover, with respect to those structural analyses involving multiple solution sequences (parametric studies, structures with defect, etc.), each series of data necessitates performing a full calculation, even if the problems to be solved do resemble one another. The goal of the work presented herein is to develop a strategy that is well-suited to multiple-solution problems. Such a strategy is to be based on the LATIN method.
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References
[BEN 98] BENAROY A H., REHAK M., « Finite element methods in probabilistic structural
analysis: A selective review>>, Applied Mechanics Reviews, Vol. 41, No.5, 1998, p. 201-
[BOU 97] BOUCARD P.A., LADEVEZE P., Poss M., ROUGEEP., « A non-incremental approach
for large displacement problems >>, Computers and Structures Vol. 64, 1-4, 1997, p. 499-
[COC 93] COCHELIN B., AzRAR L., DAMll..N., POITIER-FERRY M., « An asymptotic-numerical
method to compute the post-buckling beahviour of elastic plates and shells >>,
International Journal for Numerical Methods in Engineering, Vol. 36, 1993, p. 1251-
[GER 81) GERADIN M., IDELSOHN S., HOGGE M., «Computational strategies for the solution
of large non linear problems via quasi Newton methods>>, Computers and Structures,
Vol. 13, 1981, p. 73-81.
[LAD 91] LADEVEZE P., «New advances in the LArge Time INcrement method>>, New
Advances in Computational Structural Mechanics, Ladeveze P., Zienkiewicz O.C. Eds.,
, p. 3-21.
[LAD 99] LADEVEZE P., Non Linear Mechanics of Structures - New approaches and nonincremental
methods of calculation, Editions Springer, 1999, existe en fran~ais, Editions
Hermes, 1996.
[MAC 97] MACIAS O.F. - LEMAIRE M., «Elements Finis stochastiques et Fiabilite
Application en mecanique de La rupture», Revue fran~aise de genie civil, Vol. 1 -No.2,
[SHI 72] SHINBOZUKA M., ASTILL J., «Random eigenvalue problems in structural
mechanics>>, AIAA Journal, Vol. 10, No.4, 1972, p. 456-462.
