Newton-Krylov-Schur Method with a Nonlinear Localization: Parallel Implementation for Post-Buckling Analysis of Large Structures

Mixed nonlinear localization strategy for the buckling and post-buckling analyses of structures: parameter optimization and path following implementation

“…This work has extended the study and the optimization of the nonlinear localization strategy based on DDMs presented in Cresta et al (2007) and Hinojosa (2011);Hinojosa et al (2014).…”

“…In Section 4 and in Cresta et al (2007) and Hinojosa (2011);Hinojosa et al (2014), no continuation method was used. Despite of that, the mixed version of the strategy was able to compute the final load in just one load step, even when the cases studied had limit points in their behaviour.…”

“…In previous works (Hinojosa 2011;Hinojosa et al 2014) the nonlinear localization strategy was applied on unstable structures with snap-through and snap-back behaviour. For these papers, the local convergence criteria were taken from the study presented in Cresta et al (2007) over stable structures without knowing if this choice was optimized for the cases analysed.…”

“…A nonlinear localization strategy was first proposed in Cresta et al (2007) to improve the convergence rate for the post-buckling analysis of stable structures, and has been further parallelized to address more complex structures in Hinojosa (2011). The robustness of the method for different cases of geometrical nonlinearities (structures with unstable global behaviours and possible multiple solutions) and the influence of the Robin parameter on the performances of the method have been studied in Hinojosa et al (2014).…”