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High-performance model reduction techniques in computational multiscale homogenization

Autor
Hernandez, J.A.; Oliver, J.; Huespe, A.; Caicedo, M.; Cante, J.C.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2014-07
Volum
276
Pàgina inicial
149
Pàgina final
189
DOI
https://doi.org/10.1016/j.cma.2014.03.011 Obrir en finestra nova
Projecte finançador
COMP-DES-MAT (Advanced tools for computational design of engineering materials)
Repositori
http://hdl.handle.net/2117/23659 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782514000978 Obrir en finestra nova
Resum
A novel model-order reduction technique for the solution of the fine-scale equilibrium problem appearing in computational homogenization is presented. The reduced set of empirical shape functions is obtained using a partitioned version that accounts for the elastic/inelastic character of the solution - of the Proper Orthogonal Decomposition (POD). On the other hand, it is shown that the standard approach of replacing the nonaffine term by an interpolant constructed using only POD modes leads to ...
Citació
Hernandez, J. [et al.]. High-performance model reduction techniques in computational multiscale homogenization. "Computer methods in applied mechanics and engineering", 01 Juliol 2014, vol. 276, p. 149-189.
Paraules clau
Multiscale, Homogenization, Model Reduction, High-performance Reduced-order Model, Hyperreduction, Pod, Transformation Field Analysis, Partial Differential Equations, Composite Materials, Heterogeneous Materials, Interpolation Method, Media, Microstructures, Comp-des-mat Project, Compdesmat Project
Grup de recerca
(MC)2 - Grup de Mecànica Computacional en Medis Continus
(MC)2 - UPC Mecànica de Medis Continus i Computacional
DECA - Grup de Recerca del Departament d'Enginyeria Civil i Ambiental

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