TY - JOUR
T1 - Homogenization of non-periodic zones in periodic domains using the embedded unit cell approach
AU - Grigorovitch, M.
AU - Gal, E.
N1 - Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2017/1/15
Y1 - 2017/1/15
N2 - In this paper we present the development of the embedded unit cell (EUC) approach, a new concept designed to facilitate homogenization and multi scale analysis of composite materials/domains in cases where the classical theory of homogenization is not valid due to lack of periodic microscopic response, e.g. in the boundary of a periodic macroscopic domain. The EUC approach is based on a non-periodic formulation of the asymptotic homogenization theory and evaluates the local/micro response of non-periodic zones, based on alternative boundary conditions. Finally, a verification study, which demonstrates the appropriate numerical performance of the suggested homogenization approach, is presented.
AB - In this paper we present the development of the embedded unit cell (EUC) approach, a new concept designed to facilitate homogenization and multi scale analysis of composite materials/domains in cases where the classical theory of homogenization is not valid due to lack of periodic microscopic response, e.g. in the boundary of a periodic macroscopic domain. The EUC approach is based on a non-periodic formulation of the asymptotic homogenization theory and evaluates the local/micro response of non-periodic zones, based on alternative boundary conditions. Finally, a verification study, which demonstrates the appropriate numerical performance of the suggested homogenization approach, is presented.
KW - Composite materials
KW - Embedded unit cell (EUC)
KW - Homogenization
KW - Multiscale formulation
KW - Non-periodic response
KW - Non-periodic unit cell
UR - http://www.scopus.com/inward/record.url?scp=84995739756&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2016.11.001
DO - 10.1016/j.compstruc.2016.11.001
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AN - SCOPUS:84995739756
SN - 0045-7949
VL - 179
SP - 95
EP - 108
JO - Computers and Structures
JF - Computers and Structures
ER -