TY - GEN
T1 - A new method for calculating local response in elastic media-the embedded unit cell approach
AU - Grigorovitch, M.
AU - Gal, E.
PY - 2014
Y1 - 2014
N2 - We developed a novel concept, the Embedded Unit Cell (EUC) approach, to calculate local responses in elastic media. The EUC approach is based on a new, multiscale formulation of nonperiodic homogenization that facilitates zooming in on the local/micro domains where high concentrations of stress are expected. The formulation was developed using the appropriate boundary conditions and a homogenization procedure that does not use periodic assumptions for the unit cell response. This approach provides a reduced computational cost model of the macroscopic problem while preserving accuracy. It broadens the applicability of multiscale analysis techniques, which are widely used in engineering problems, to deal with local-global problems through domain decomposition. We conclude the work with a numerical implementation and a verification study.
AB - We developed a novel concept, the Embedded Unit Cell (EUC) approach, to calculate local responses in elastic media. The EUC approach is based on a new, multiscale formulation of nonperiodic homogenization that facilitates zooming in on the local/micro domains where high concentrations of stress are expected. The formulation was developed using the appropriate boundary conditions and a homogenization procedure that does not use periodic assumptions for the unit cell response. This approach provides a reduced computational cost model of the macroscopic problem while preserving accuracy. It broadens the applicability of multiscale analysis techniques, which are widely used in engineering problems, to deal with local-global problems through domain decomposition. We conclude the work with a numerical implementation and a verification study.
UR - http://www.scopus.com/inward/record.url?scp=84894670256&partnerID=8YFLogxK
U2 - 10.1201/b16645-52
DO - 10.1201/b16645-52
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AN - SCOPUS:84894670256
SN - 9781138026414
T3 - Computational Modelling of Concrete Structures - Proceedings of EURO-C 2014
SP - 471
EP - 476
BT - Computational Modelling of Concrete Structures - Proceedings of EURO-C 2014
PB - Taylor and Francis - Balkema
T2 - EURO-C 2014 Conference
Y2 - 24 March 2014 through 27 March 2014
ER -