Multi-level A Priori Hyper-Reduction of mechanical models involving internal variables

• DOI: 10.1016/j.cma.2009.12.003
• Publication Date: 2009-12-23T12:05:34Z
• Authors: D. Ryckelynck; D. Missoum Benziane
• Keywords: Model order reduction

International audience; This paper concerns the adaptation of reduced-order models during simulations of series of elastoviscoplastic problems. In continuation with previous works, this paper aimed at extending the A Priori Hyper-Reduction method (APHR method) for nonlinear thermal problems to nonlinear mechanical problems involving internal variables. This method is an a priori approach because full incremental responses of detailed models are not forecasted in order to build reduced-order models. The recent extension of the Hyper-Reduction method to reduction of mechanical models involving internal variables makes possible the reduction of degrees of freedom and the reduction of integration points. A multi-level formulation is introduced to focus on the capability of the method to perform efficient parallel computations to adapt reduced-order models.