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

Abstract : 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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00461492
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Submitted on : Tuesday, May 4, 2010 - 5:06:15 PM
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David Ryckelynck, Djamel Missoum-Benziane. Multi-level A Priori Hyper-Reduction of mechanical models involving internal variables. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2010, 199, pp.1134-1142. ⟨10.1016/j.cma.2009.12.003⟩. ⟨hal-00461492⟩

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