A dissipation-based control method for the multi-scale modelling of quasi-brittle materials

Thierry J. Massart; Ron H.J. Peerlings; Marc G.D. Geers

doi:10.1016/j.crme.2005.05.003

A dissipation-based control method for the multi-scale modelling of quasi-brittle materials

Presented by: André Jaumotte

Thierry J. Massart ¹ ; Ron H.J. Peerlings ²; Marc G.D. Geers ²

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

Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 521-527.

Abstract
Résumé

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.

Des schémas multi-échelles basés sur des principes d'homogénéisation numériques sont actuellement développés pour la simulation de comportements matériels complexes. L'utilisation de techniques d'homogénéisation sur des éléments de volume représentatifs de tailles finies en présence d'endommagement quasi-fragile peut causer l'apparition d'effets de snap-back dans la réponse matérielle macroscopique. Une méthode est proposée permettant d'introduire ce type de réponse dans un schéma multi-échelles, basée sur le contrôle de la dissipation à l'échelle mésoscopique.

Received: 2004-10-25
Accepted: 2005-05-24
Published online: 2005-06-23

DOI: 10.1016/j.crme.2005.05.003

Keywords: Computational solid mechanics, Multi-scale modelling, Localisation, Snap-back, Path following method, Dissipation control
Mot clés : Mécanique des solides numérique, Modélisation multi-échelles, Localisation, Snap-back, Méthode de continuation, Contrôle par dissipation

Author's affiliations:

Thierry J. Massart ¹; Ron H.J. Peerlings ²; Marc G.D. Geers ²

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

@article{CRMECA_2005__333_7_521_0,
     author = {Thierry J. Massart and Ron H.J. Peerlings and Marc G.D. Geers},
     title = {A dissipation-based control method for the multi-scale modelling of quasi-brittle materials},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {521--527},
     publisher = {Elsevier},
     volume = {333},
     number = {7},
     year = {2005},
     doi = {10.1016/j.crme.2005.05.003},
     language = {en},
}

TY  - JOUR
AU  - Thierry J. Massart
AU  - Ron H.J. Peerlings
AU  - Marc G.D. Geers
TI  - A dissipation-based control method for the multi-scale modelling of quasi-brittle materials
JO  - Comptes Rendus. Mécanique
PY  - 2005
SP  - 521
EP  - 527
VL  - 333
IS  - 7
PB  - Elsevier
DO  - 10.1016/j.crme.2005.05.003
LA  - en
ID  - CRMECA_2005__333_7_521_0
ER  -

%0 Journal Article
%A Thierry J. Massart
%A Ron H.J. Peerlings
%A Marc G.D. Geers
%T A dissipation-based control method for the multi-scale modelling of quasi-brittle materials
%J Comptes Rendus. Mécanique
%D 2005
%P 521-527
%V 333
%N 7
%I Elsevier
%R 10.1016/j.crme.2005.05.003
%G en
%F CRMECA_2005__333_7_521_0

Thierry J. Massart; Ron H.J. Peerlings; Marc G.D. Geers. A dissipation-based control method for the multi-scale modelling of quasi-brittle materials. Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 521-527. doi : 10.1016/j.crme.2005.05.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.05.003/

References
Cited by

[1] R.J.M. Smit, Toughness of heterogeneous polymeric systems. A modeling approach, PhD thesis, Eindhoven University of Technology, 1998

[2] V.G. Kouznetsova; W.A.M. Brekelmans; F.T.P. Baaijens An approach to micro-macro modeling of heterogeneous materials, Comput. Mech., Volume 27 (2001), pp. 37-48

[3] M.G.D. Geers Enhanced solution control for physically and geometrically non-linear problems. Part I – The subplane control approach, Int. J. Numer. Methods Engrg., Volume 46 (1999), pp. 177-204

[4] R. de Borst Computation of post-bifurcation and post-failure behavior of strain-softening solids, Comput. & Structures, Volume 25 (1987) no. 2, pp. 211-224

[5] P.B. Lourenço, Computational strategies for masonry structures, PhD thesis, Delft University of Technology, 1996

[6] R.H.J. Peerlings; R. de Borst; W.A.M. Brekelmans; J.H.P. de Vree Gradient-enhanced damage for quasi-brittle materials, Int. J. Numer. Methods Engrg., Volume 39 (1996), pp. 3391-3403

[7] T.J. Massart, Multi-scale modeling of damage in masonry structures, PhD thesis, Eindhoven University of Technology & Université Libre de Bruxelles, 2003

Cited by Sources:

Comments - Politique