Efficient computation of large array-based mechanical structures

Augustin Parret-Fréaud (1) , Daniel J. Rixen (2)

1 UME - Unité de Mécanique
2 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich

This paper deals with the simulation of mechanical structures consisting of very large arrays of unit cells. Since this special type of problem can be seen as almost-periodic, we present a strategy to analyze it as fully periodic problem together with an auxiliary one devoted to restore the finiteness of the array through the imposition of additional traction field. This enables us to speed up the resolution of such problems by extending previous works about efficient numerical methods for cyclic problems.

Mots clés: quasi; periodic structures; domain decomposition; iterative solvers

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Augustin Parret-Fréaud, Daniel J. Rixen. Efficient computation of large array-based mechanical structures. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855877⟩