Full Text:   <2734>

CLC number: O342

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2011-06-21

Cited: 1

Clicked: 5440

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2011 Vol.12 No.7 P.552-560

http://doi.org/10.1631/jzus.A1000519


Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations


Author(s):  Hua Qiao, Wei-qiu Chen

Affiliation(s):  Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   chenwq@zju.edu.cn

Key Words:  Global/Local analysis, Geometric nonlinear analysis, Penalty-based Arlequin method, User defined element


Hua Qiao, Wei-qiu Chen. Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations[J]. Journal of Zhejiang University Science A, 2011, 12(7): 552-560.

@article{title="Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations",
author="Hua Qiao, Wei-qiu Chen",
journal="Journal of Zhejiang University Science A",
volume="12",
number="7",
pages="552-560",
year="2011",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1000519"
}

%0 Journal Article
%T Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations
%A Hua Qiao
%A Wei-qiu Chen
%J Journal of Zhejiang University SCIENCE A
%V 12
%N 7
%P 552-560
%@ 1673-565X
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000519

TY - JOUR
T1 - Analysis of the penalty version of the Arlequin framework for the prediction of structural responses with large deformations
A1 - Hua Qiao
A1 - Wei-qiu Chen
J0 - Journal of Zhejiang University Science A
VL - 12
IS - 7
SP - 552
EP - 560
%@ 1673-565X
Y1 - 2011
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1000519


Abstract: 
The Arlequin framework proposed by Ben Dhia in 1998 is a flexible and robust method for conducting global/Local analysis of structures and materials. A penalty version of the Arlequin framework for the study of structural problems involving large deformation is considered here. The implementation of the penalty-based Arlequin framework into ABAQUS is then explored and the corresponding Arlequin user element subroutine is developed. Geometric nonlinear simulations of a cantilever beam and a shallow arch are conducted and the choice of the coupling operator with an appropriate penalty parameter is studied. The numerical results justify the feasibility of the proposed method, ensuring its further application to more complicated problems involving geometric or material nonlinearities.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Bathe, K.J., 1996. Finite Element Procedures. Prentice Hall, USA.

[2]Ben Dhia, H., 1998. Multiscale mechanical problems: the Arlequin method. Comptes Rendus de l'Académie des Sciences-Series IIB-Mechanics-Physics-Astronomy, 326(12):899-904 (in French).

[3]Ben Dhia, H., 2008. Further insights by theoretical investigations of the multi-scale Arlequin method. International Journal for Multiscale Computational Engineering, 6(3):215-232.

[4]Ben Dhia, H., Rateau, G., 2001. Analyse mathématique de la méthode arlequin mixte. Comptes Rendus de l’Académie des Sciences-Series I-Mathematics, 332(7):649-654 (in French).

[5]Ben Dhia, H., Zammali, C., 2004. Level-sets and Arlequin framework for dynamic contact problems. Finite Elements European Review, 5-7(13):403-414.

[6]Ben Dhia, H., Rateau, G., 2005. The Arlequin method as a flexible engineering design tool. International Journal for Numerical Methods in Engineering, 62(11):1442-1462.

[7]Chandrupatla, T.R., Belegundu, A.D., 1991. Introduction to Finite Elements in Engineering. Prentice-Hall, USA.

[8]Fish, J., 1992. The s-version of the finite element method. Computers and Structures, 43(3):539-547.

[9]Guidault, P.A., Belytschko, T., 2007. On the L2 and the H1 couplings for an overlapping domain decomposition method using Lagrange multipliers. International Journal for Numerical Methods in Engineering, 70(3):322-350.

[10]Hu, H., Belouettar, S., Potier-Ferry, M., Daya, E.M., 2008. Multi-scale modelling of sandwich structures using the Arlequin method Part I: linear modelling. Finite Elements in Analysis and Design, 45(1):37-51.

[11]Hu, H., Belouettar, S., Potier-Ferry, M., Daya, E.M., Makradi, A., 2010. Multi-scale nonlinear modelling of sandwich structures using the Arlequin method. Composite Structures, 92(2):515-522.

[12]Hughes, T.J.R., 1995. Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Computer Methods in Applied Mechanics and Engineering, 127(1-4):387-401.

[13]Qiao, H., Chen, W.Q., Zhang, C.Z., 2010. Dynamic Multiscale Analysis of Structures via the ARLEQUIN Method. Proceedings of the 1st International Conference on Advances in Interaction and Multiscale Mechanics, Jeju, Korea.

[14]Qiao, H., Yang, Q.D., Chen, W.Q., Zhang, C.Z., 2011. Implementation of the Arlequin method into ABAQUS: basic formulations and applications. Advances in Engineering Software, 42(4):197-207.

[15]Rannou, J., Gravouil, A., Baietto-Dubourg M. C., 2009. A local multigrid X-FEM strategy for 3-D crack propagation. International Journal for Numerical Methods in Engineering, 77(4):581-600.

[16]Voleti, S.R., Chandra, N., Miller, J.R., 1996. Global-local analysis of large-scale composite structures using finite element methods. Computers and Structures, 58(3):453-464.

[17]Whitcomb, J.D., Woo, K., 1993. Application of iterative global/local finite element analysis. Part 1: linear analysis. Communications in Numerical Methods in Engineering, 9(9):745-756.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE