Recent developments in local global reduction techniques for the simulation of local failure in structures

This paper proposes a novel technique to reduce the computational burden associated with the simulation of structural failure by concentrating the computational effort where it is most needed, i.e. in the localisation zones. To do so, a local/global technique is devised where the global (slave) problem (far from the zones undergoing severe damage and cracking) is solved for in a reduced space computed by the classical Proper Orthogonal Decomposition, while the local (master) degrees of freedom (associated with the part of the structure where most of the damage is taking place) are fully resolved. Mots cles — nonlinear fracture mechanics, model order reduction, multiscale solution strategy.

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