Reduced Finite Element square techniques (RFE2 ): towards industrial multiscale FE sofware O. Lloberas-Valls, M. Raschi and J. Oliver XV International Conference on Computational Plasticity. Fundamentals and Applications COMPLAS 2019 E. O˜ nate, D.R.J. Owen, D. Peric, M. Chiumenti & Eduardo de Souza Neto (Eds) REDUCED FINITE ELEMENT SQUARE TECHNIQUES (RFE 2 ): TOWARDS INDUSTRIAL MULTISCALE FE SOFTWARE ORIOL LLOBERAS-VALLS *,† , MARCELO RASCHI * , ALFREDO E. HUESPE †,‡ AND JAVIER OLIVER *,† * Centre Internacional de Metodes Numerics a l’Enginyeria (CIMNE) Campus Nord UPC, 08034 Barcelona, Spain e-mail: olloberas@cimne.upc.edu † Universitat Polit` ecnica de Catalunya (UPC) - BarcelonaTech Campus Nord UPC, M` odul C-1 101, c/ Jordi Girona 1-3, 08034 Barcelona, Spain ‡ CIMEC-UNL-CONICET G¨ uemes 3450, Santa Fe, Argentina Key words: FE 2 techniques, reduced order modeling, industrial FE software Abstract. Reduced order modeling techniques proposed by the authors are assessed for an industrial case study of a 3D reinforced composite laminate. Essentially, the main dominant strain micro-structural modes are obtained through standard reduced order modeling techniques applied over snapshots of a representative training strain space. Ad- ditionally, a reduced number of integration points is obtained by exactly integrating the main energy modes resulting from the training energy snapshots. The outcome consists of a number of dominant strain modes integrated over a remarkably reduced number of integration points which provide the support to evaluate the constitutive behavior of the micro-structural phases. Results are discussed in terms of the consistency of the mul- tiscale analysis, tunability of the microscopic material parameters and speed up ratios comparing a high fidelity simulation and the multiscale reduced order model. 1 INTRODUCTION AND SUMMARY OF THE MODEL In a series of papers ([1], [2]), the authors have presented a reduced order model technique aiming at speeding-up the computational cost of multiscale mechanical problems where materials are intrinsically heterogeneous. In the same spirit, this work aims at simulating problems where the behavior of the material at the structural scale is complex and can be hardly captured by means of a phenomenological one-scale approach. This typically happens when a strong dependency of the effective material properties with the micro-parameters governing the material deformation phenomena at the lower scales is observed. In this scenario, the use of a FE 2 157 brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by UPCommons. Portal del coneixement obert de la UPC