CIMEC   24726
CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
High-Performance Model Order Reduction Techniques for Geometrical Non-linear Problems: Application to Multi-scale Material Homogenization Problems
Autor/es:
JAVIER MROGINSKI; JAVIER OLIVER; MANUEL CAICEDO; SEBASTIAN TORO; ALFREDO HUESPE
Lugar:
Nueva York
Reunión:
Congreso; 13th World Congress on Computational Mechanics (WCCM XIII) and 2nd Pan American Congress on Computational Mechanics (PANACM II); 2018
Institución organizadora:
World Congress in Computational Mechanics (WCCM)
Resumen:
The purpose of this work is to generalize a version of the High Performance Reduced-Order Model (HPROM) technique, previously presented by the authors in [1], in the context of hierarchical multiscale models for heterogeneous non-linear-materials undergoing infinitesimal strains, is generalized to deal with a different range of applications. Typically, large elasto-plastic deformation problems subjected to small rotation regimes, observed in multiscale homogenization problems arising in a wide range of material modeling applications. The proposed HPROM technique uses a Proper Orthogonal Decomposition (POD) procedure to build a reduced basis of the primary kinematical variable of the micro-scale problem, defined in terms of the micro-deformation gradient fluctuations. Then a Galerkin-projection, onto this reduced basis, is utilized to reduce the dimensionality of the micro-force balance equation, the stress homogenization equation and the equivalent macro-constitutive tangent tensor equation. Finally, a reduced goal-oriented cubature rule is introduced to compute the non-affine terms of these equations [2]. The work is focused on the numerical assessment of the HPROM technique. The numerical experiments are performed on a micro-cell simulating a randomly distributed set of elastic inclusions embedded into an elasto-plastic matrix. This micro-structure is representative of a typical ductile metallic alloy. The HPROM technique applied to this type of problem displays high computational speed-ups, increasing with the complexity of the finite element model. We conclude that this technology is adequate for applications in material modeling involving two length scales, using full 3D cells with refined micro-structural details. [1] J. Oliver, M. Caicedo, A.E. Huespe, J.A. Hernández, E. Roubin, Reduced order modeling strategies for computational multiscale fracture Comput. Meth. App. Mech. Eng. 313, 560-595 (2017)[2] J.A. Hernández, J. Oliver, A.E. Huespe, M.A. Caicedo, J.C. Cante, High-performance model reduction techniques in computational multiscale homogenization, Comput. Meth. App. Mech. Eng., 276, 149-189 (2014)