TY - JOUR
T1 - Nonlocal damage modelling in clay/epoxy nanocomposites using a multiscale approach
AU - Silani, Mohammad
AU - Talebi, Hossein
AU - Hamouda, Abdel Magid
AU - Rabczuk, Timon
N1 - Funding Information:
The authors would like to acknowledge the support from DFG , Humboldt Foundation and Qatar National Research Fund (QNRF), through Grant No. NPRP 09-145-2-061 .
Publisher Copyright:
© 2015 Elsevier B.V.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - This study proposed a concurrent multiscale method to model damage in clay/epoxy nanocomposites. The method uses a nonlocal damage formulation to regularize the damage model. The multiscale method used, is based on the Arlequin method which couples two overlapping scales using the Lagrange multipliers method. Since the method blends the energies of two scales in a so called "handshake domain", the spurious wave reflection from the coupling region is minimum. Hence the method is appropriate for the current dynamic problem. To show the suitability and accuracy of the proposed method, a clay/epoxy nanocomposite beam under dynamic loading is simulated using two different approaches: a full fine scale model and a multiscale model were employed. Also, a comparison between the results proves that the proposed nonlocal multiscale method can accurately predict the damage phenomena inside the clay/epoxy nanocomposites with minimal computational costs. The method presented here is also applicable to a range of related physical problems.
AB - This study proposed a concurrent multiscale method to model damage in clay/epoxy nanocomposites. The method uses a nonlocal damage formulation to regularize the damage model. The multiscale method used, is based on the Arlequin method which couples two overlapping scales using the Lagrange multipliers method. Since the method blends the energies of two scales in a so called "handshake domain", the spurious wave reflection from the coupling region is minimum. Hence the method is appropriate for the current dynamic problem. To show the suitability and accuracy of the proposed method, a clay/epoxy nanocomposite beam under dynamic loading is simulated using two different approaches: a full fine scale model and a multiscale model were employed. Also, a comparison between the results proves that the proposed nonlocal multiscale method can accurately predict the damage phenomena inside the clay/epoxy nanocomposites with minimal computational costs. The method presented here is also applicable to a range of related physical problems.
KW - Arlequin method
KW - Dynamic loading
KW - Multiscale
KW - Nanocomposites
KW - Nonlocal damage
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U2 - 10.1016/j.jocs.2015.11.007
DO - 10.1016/j.jocs.2015.11.007
M3 - Article
AN - SCOPUS:84950118881
SN - 1877-7503
VL - 15
SP - 18
EP - 23
JO - Journal of Computational Science
JF - Journal of Computational Science
ER -