Post-buckling analysis of thin-walled structures using the SPH method

Jun Lin (1) , Hakim Naceur (2) , Abdelouahed Laksimi (1) , Daniel Coutellier (2)

1 Roberval - Roberval
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

In this investigation a meshless shell formulation is proposed for the post-buckling analysis of thin-walled structures using a non-linear dynamic explicit scheme. This method is an adaptation of the Smoothed Particle Hydrodynamics (SPH) method to deal with shell-like structures, while keeping its character of a strong formulation based on the principle of collocation directly applied on the differential equilibrium equations. The present SPH formulation is an extension of the continuum-corrected and stabilized SPH method allowing a thin structure to be modeled by using only one layer of particles to represent the shell mid-surface. Application of this method for the post-buckling analysis of several academic examples, shows its interest and its potential especially in terms of CPU computing time saving while keeping a very good level of accuracy compared to the classical SPH method and to the Finite Element method.

Mots clés: Finite-element analysis; Computational fluid dynamics; Central processing unit; Non linear dynamics

Domaines: Mécanique [physics.med-ph]

Jun Lin, Hakim Naceur, Abdelouahed Laksimi, Daniel Coutellier. Post-buckling analysis of thin-walled structures using the SPH method. 11th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM’13, Jul 2013, Shenyang, China. pp.701-707, 978-0-7354-1156-2, ⟨10.1063/1.4806898⟩. ⟨hal-03446866⟩