List of Journal Publications
2012
3.
Lloberas-Valls, O., Rixen, D. J., Simone, A., Sluys, L. J.
Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials Journal Article
In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 89, no. 11, pp. 1337–1366, 2012.
Abstract | BibTeX | Tags: Domain decomposition methods, FETI multiscale analysis, Quasi-brittle materials, Strain localization | Links:
@article{LloberasValls2012,
title = {Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials},
author = {O. Lloberas-Valls and D. J. Rixen and A. Simone and L. J. Sluys},
doi = {10.1002/nme.3286},
year = {2012},
date = {2012-01-01},
journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING},
volume = {89},
number = {11},
pages = {1337–1366},
abstract = {A hybrid multiscale framework is presented, which processes the material scales in a concurrent manner, borrowing features from hierarchical multiscale methods. The framework is used for the analysis of non-linear heterogeneous materials and is capable of tackling strain localization and failure phenomena. Domain decomposition techniques, such as the finite element tearing and interconnecting method, are used to partition the material in a number of non-overlapping domains and adaptive refinement is performed at those domains that are affected by damage processes. This refinement is performed in terms of material scale and finite element size. It is verified that the results are independent of the chosen domain decomposition. Moreover, the multiscale analyses are validated with reference solutions obtained with a full fine-scale solution procedure.},
keywords = {Domain decomposition methods, FETI multiscale analysis, Quasi-brittle materials, Strain localization},
pubstate = {published},
tppubtype = {article}
}
A hybrid multiscale framework is presented, which processes the material scales in a concurrent manner, borrowing features from hierarchical multiscale methods. The framework is used for the analysis of non-linear heterogeneous materials and is capable of tackling strain localization and failure phenomena. Domain decomposition techniques, such as the finite element tearing and interconnecting method, are used to partition the material in a number of non-overlapping domains and adaptive refinement is performed at those domains that are affected by damage processes. This refinement is performed in terms of material scale and finite element size. It is verified that the results are independent of the chosen domain decomposition. Moreover, the multiscale analyses are validated with reference solutions obtained with a full fine-scale solution procedure.
2.
Lloberas-Valls, O., Rixen, D. J., Simone, A., Sluys, L. J.
On micro-to-macro connections in domain decomposition multiscale methods Journal Article
In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 225-228, pp. 177–196, 2012.
Abstract | BibTeX | Tags: Domain decomposition methods, Micro-macro connection, Multiscale analysis, Quasi-brittle materials, Strain localization | Links:
@article{LloberasValls2012a,
title = {On micro-to-macro connections in domain decomposition multiscale methods},
author = {O. Lloberas-Valls and D. J. Rixen and A. Simone and L. J. Sluys},
doi = {10.1016/j.cma.2012.03.022},
year = {2012},
date = {2012-01-01},
journal = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
volume = {225-228},
pages = {177–196},
abstract = {Micro-to-macro connection techniques constitute a key ingredient in the formulation of multiscale strategies. In this contribution several connection methods are explored for the concurrent multiscale analysis of brittle heterogeneous materials. Particularly, these techniques are investigated in a domain decomposition strong coupling multiscale framework. The structural component under analysis is partitioned into a number of non-overlapping domains and a fine scale resolution is assigned therein in an adaptive manner exploiting a zoom-in technique. Mesh refinement is employed in the domains where crack coalescence and growth take place. The original contribution presented in this manuscript consists in the study of different strong and weak locality constraints that connect coarse and fine resolution domains. Standard collocation and average compatibility are considered and serve as a basis for the development of two new interscale links. The influence of different locality constraints is studied in terms of the mechanical response and the error distribution is compared to a full fine scale analysis.},
keywords = {Domain decomposition methods, Micro-macro connection, Multiscale analysis, Quasi-brittle materials, Strain localization},
pubstate = {published},
tppubtype = {article}
}
Micro-to-macro connection techniques constitute a key ingredient in the formulation of multiscale strategies. In this contribution several connection methods are explored for the concurrent multiscale analysis of brittle heterogeneous materials. Particularly, these techniques are investigated in a domain decomposition strong coupling multiscale framework. The structural component under analysis is partitioned into a number of non-overlapping domains and a fine scale resolution is assigned therein in an adaptive manner exploiting a zoom-in technique. Mesh refinement is employed in the domains where crack coalescence and growth take place. The original contribution presented in this manuscript consists in the study of different strong and weak locality constraints that connect coarse and fine resolution domains. Standard collocation and average compatibility are considered and serve as a basis for the development of two new interscale links. The influence of different locality constraints is studied in terms of the mechanical response and the error distribution is compared to a full fine scale analysis.
2011
1.
O., Lloberas-Valls, J., Rixen D., A., Simone, J., Sluys L.
Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials Journal Article
In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 200, no. 13-16, pp. 1577–1590, 2011.
Abstract | BibTeX | Tags: Brittle materials, Damage predictor, Domain decomposition methods, FETI, Strain localization | Links:
@article{LloberasValls2011,
title = {Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials},
author = {Lloberas-Valls O. and Rixen D. J. and Simone A. and Sluys L. J.},
doi = {10.1016/j.cma.2011.01.008},
year = {2011},
date = {2011-01-01},
journal = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
volume = {200},
number = {13-16},
pages = {1577–1590},
abstract = {This paper describes a computational tool for the efficient study of failure in brittle heterogeneous materials. By means of several examples, it is demonstrated that the proposed tool is adequate for the analysis of materials that show localized failure modes. This case is particular since the main non-linearities concentrate in a small area compared to the whole specimen. The use of the method is preferred when the mesoscopic structure plays a crucial role during failure processes and needs to be fully taken into account in order to accurately tackle damage growth and propagation in the material. The present strategy is based on a Domain decomposition technique. Its performance is improved by selectively processing inelastic regions and reducing the number of operations in the remaining elastic areas. A four point bending test and the fracturing of a heterogeneous concrete specimen are presented as illustrations. They demonstrate that computational costs can be significantly reduced when the proposed strategy is applied to damage analysis.},
keywords = {Brittle materials, Damage predictor, Domain decomposition methods, FETI, Strain localization},
pubstate = {published},
tppubtype = {article}
}
This paper describes a computational tool for the efficient study of failure in brittle heterogeneous materials. By means of several examples, it is demonstrated that the proposed tool is adequate for the analysis of materials that show localized failure modes. This case is particular since the main non-linearities concentrate in a small area compared to the whole specimen. The use of the method is preferred when the mesoscopic structure plays a crucial role during failure processes and needs to be fully taken into account in order to accurately tackle damage growth and propagation in the material. The present strategy is based on a Domain decomposition technique. Its performance is improved by selectively processing inelastic regions and reducing the number of operations in the remaining elastic areas. A four point bending test and the fracturing of a heterogeneous concrete specimen are presented as illustrations. They demonstrate that computational costs can be significantly reduced when the proposed strategy is applied to damage analysis.
