Implementation of path following techniques into the finite element code LAGAMINE

Panagiotis Kotronis (1) , Frédéric Collin (2)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]
2 GEOMAC - Département des Géoressources, Géotechnologies et Matériaux de construction

This report presents a study on existing advanced incremental-iterative solution techniques for geometrically and physically non-linear analysis and their implementation into the finite element code LAGAMINE. After a theoretical presentation of different path following techniques, a general algorithm and details about the specific implementation into LAGAMINE follow. Challenging examples show the advantages but also the efficiency of each method.

Mots clés: bifurcation; non-linear analysis; snap-through; arc-length method; snap-back; path following technique; automated solution control; non-uniqueness

Domaines: Analyse numérique [cs.NA]; Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Panagiotis Kotronis, Frédéric Collin. Implementation of path following techniques into the finite element code LAGAMINE. [Research Report] Rapport Interne Géomac/3S-R. 2005. ⟨hal-00100402⟩