List of Journal Publications
2012
2.
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.
1.
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.
