A multiple solution method for non-linear structural mechanics

Pierre-Alain Boucard (1) , Pierre Ladevèze (1)

1 LMT - Laboratoire de Mécanique et Technologie

The numerical solution process for complex, time-dependent non-linear problems (material stamping, cyclic viscoplasticity, crashes, etc.) requires, even with the most powerful computers, a computation time which turns out to be prohibitive. Moreover, with respect to those structural analyses involving multiple solution sequences (parametric studies, probabilistic analyses, flawed structures, 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 and, more specifically, on its capacity to reuse the solution to a given problem in order to solve similar problems. The goal then is both to assess the major obstacles encountered during this computational procedure and to define and apply a strategy that enables minimizing total computing costs with respect to multiple-solution problems.

Mots clés: structural mechanics; non-linear computations; multiple solution

Domaines: Mécanique des structures [physics.class-ph]

Pierre-Alain Boucard, Pierre Ladevèze. A multiple solution method for non-linear structural mechanics. Mechanical Engineering, 1999, 50, pp.317-328. ⟨hal-01703452⟩