Abstract
We propose a three-scale computational strategy for the simulation of laminated composite parts modelled at the meso-scale. Two nested domain decompositions are used: a LaTIn method is employed in the inner substructuring so that the debounding behaviour is bore by the interfaces between subdomains (first scale) while the outer decomposition permits to solve in parallel the LaTIn macro (second scale) problem which grants the method its scalability, a super-macro problem (third scale) is introduced to accelerate the transmission of largest wavelength numerical information. The strategy thus teams up various levels of parallelism, which makes it well suited to modern hardware architectures.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O. Allix and P. Ladevèze. Interlaminar interface modelling for the prediction of delamination. Computers and structures, 22:235–242, 1992.
O. Allix, D. Lévèque, and L. Perret. Identification and forecast of delamination in composite laminates by an interlaminar interface model. Composites Science and Technology, 58:671–678, 1998.
R. De Borst and J.C. Remmers. Computational modelling of delamination. Composites Science and Technology, 66:713–722, 2006.
F. Feyel and J.-L. Chaboche. Fe2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials. Computer Methods in Applied Mechanics and Engineering, 183:309–330, 2000.
J. Fish, K. Shek, M. Pandheeradi, and M.S. Shephard. Computational plasticity for composite structures based on mathematical homogenization: Theory and practice. Computer Methods in Applied Mechanics and Engineering, 148:53–73, 1997.
S. Ghosh, K. Lee, and P. Raghavan. A multi-level computational model for multi-scale damage analysis in composite and porous materials. International Journal of Solids and Structures, 38:2335–2385, 2001.
P. Gosselet and C. Rey. Non-overlapping domain decomposition methods in structural mechanics. Archives of Computational Methods in Engineering, 13:515–572, 2006.
D. Guedra Degeorges and P. Ladevèze (Eds.). Course on Emerging Techniques for Damage Prediction and Failure Analysis of Laminated Composite Stuctures. Cepadues Editions, 2007.
T. Hettich, A. Hund, and E. Ramm. Modeling of failure in composites by X-FEM and level sets within a multiscale framework. Computer Methods in Applied Mechanics and Engineering, 197(5):414–424, 2008.
T.J.R. Hughes, G.R. Feijoo, L. Mazzei, and J.-B. Quincy. The variarional multiscale - A paradigm for computational mechanics. Computer Methods in Applied Mechanics and Engineering, 166:3–24, 1998.
P. Kerfriden, O. Allix, and P. Gosselet. A three-scale domain decomposition method for the 3d analysis of debonding in laminates. Computational Mechanics, 3(44):343–362, 2009.
P. Ladevèze. Multiscale computational damage modelling of laminate composites. In Multiscale Modelling of Damage and Fracture Processes in Composite Materials, T. Sadowski (Ed.). Springer-Verlag, 2005.
P. Ladevèze and G. Lubineau. An enhanced mesomodel for laminates based on micromechanics. Composites Science and Technology, 62(4):533–541, 2002.
P. Ladevèze and A. Nouy. On a multiscale computational strategy with time and space homogenization for structural mechanics. Computer Methods in Applied Mechanics and Engineering, 192:3061–3087, 2003.
P. Le Tallec. Domain decomposition methods in computational mechanics. In Computational Mechanics Advances, Volume 1. Elsevier, 1994.
G. Lubineau and P. Ladevèze. Construction of a micromechanics-based intralaminar mesomodel, and illustrations in Abaqus/standard. Computational Materials Science, 43(17/18):137–145, 2008.
G. Lubineau, P. Ladevèze, and D. Marsal. Towards a bridge between the micro- and mesomechanics of delamination for laminated composites. Composites Science and Technology, 66(6):698–712, 2007.
G. Lubineau, D. Violeau, and P. Ladevèze. Illustrations of a microdamage model for laminates under oxidizing thermal cycling. Composites Science and Technology, 69(1):3–9, 2009.
J. Mandel. Balancing domain decomposition. Communications in Numerical Methods in Engineering, 9:233–241, 1993.
J. Melenk and I. Babuška. The partition of unity finite element method: Basic theory and applications. Computer Methods in Applied Mechanics and Engineering, 39:289–314, 1996.
J.T. Oden, K. Vemaganti, and N. Moës. Hierarchical modeling of heterogeneous solids. Computer Methods in Applied Mechanics and Engineering, 172:3–25, 1999.
J.C.J. Schellekens and R. de Borst. Free edge delamination in carbon-epoxy laminates: A novel numerical/experimental approach. Composite structures, 28(4):357–373, 1994.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Allix, O., Gosselet, P., Kerfriden, P. (2011). Improved Multiscale Computational Strategies for Delamination. In: de Borst, R., Ramm, E. (eds) Multiscale Methods in Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9809-2_14
Download citation
DOI: https://doi.org/10.1007/978-90-481-9809-2_14
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9808-5
Online ISBN: 978-90-481-9809-2
eBook Packages: EngineeringEngineering (R0)