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A dissipation-based control method for the multi-scale modelling of quasi-brittle materials |
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| Authors: | Thierry J Massart Ron HJ Peerlings Marc GD Geers |
| Institution: | 1. Structural and Material Computational Mechanics Department CP 194/5, Université Libre de Bruxelles, avenue F.-D. Roosevelt 50, 1050 Brussels, Belgium;2. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
| Abstract: | Multi-scale models based on computational homogenisation are nowadays developed for the simulation of complex material behaviour. The use of homogenisation techniques on finite-sized representative volume elements in the presence of quasi-brittle damage may lead to the presence of snap-backs in the macroscopic material response. A methodology to simulate this type of response in the multi-scale technique is proposed, based on the control of the dissipation at the mesoscopic scale. To cite this article: T.J. Massart et al., C. R. Mecanique 333 (2005). |
| Keywords: | Computational solid mechanics Multi-scale modelling Localisation Snap-back Path following method Dissipation control Mécanique des solides numérique Modélisation multi-échelles Localisation Snap-back Méthode de continuation Contrôle par dissipation |
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