Multiscale analysis of damage using dual and primal domain decomposition techniques

Oriol Lloberas-Valls; Frank P.X. Everdij; Daniel J. Rixen; Angelo Simone; Lambertus J. Sluys

Multiscale analysis of damage using dual and primal domain decomposition techniques

Oriol Lloberas-Valls, Frank P.X. Everdij, Daniel J. Rixen, Angelo Simone, Lambertus J. Sluys

Chair of Applied Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multi-scale strategy essentially consists in decomposing the structure into a number of non-overlapping domains and considering a refined spatial resolution where needed. In mul-tiscale analysis of damage, the spatial refinement is performed where damage nucleation and propagation take place. The domain decomposition approach turns to be a computationally cheaper alternative to the direct numerical solution in which a fine scale model is considered throughout the complete sample. Dual and primal domain decomposition techniques are appropriate for such concurrent multiscale analyses and provide identical results. Parallel scalability of the multiscale analysis is studied using a moderate number of processors and a parallel direct solver for the system obtained through the assembly of all domains.

Original language	English
Title of host publication	11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Editors	Eugenio Onate, Xavier Oliver, Antonio Huerta
Publisher	International Center for Numerical Methods in Engineering
Pages	3524-3534
Number of pages	11
ISBN (Electronic)	9788494284472
State	Published - 1 Jul 2014
Event	Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 - Barcelona, Spain Duration: 20 Jul 2014 → 25 Jul 2014

Publication series

Name	11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Conference

Conference	Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Country/Territory	Spain
City	Barcelona
Period	20/07/14 → 25/07/14

Keywords

Dual and primal domain decomposition methods
Multiscale analysis
Strain localization
Strain softening

Cite this

Lloberas-Valls, O., Everdij, F. P. X., Rixen, D. J., Simone, A., & Sluys, L. J. (2014). Multiscale analysis of damage using dual and primal domain decomposition techniques. In E. Onate, X. Oliver, & A. Huerta (Eds.), 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 (pp. 3524-3534). (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014). International Center for Numerical Methods in Engineering.

Lloberas-Valls, Oriol ; Everdij, Frank P.X. ; Rixen, Daniel J. et al. / Multiscale analysis of damage using dual and primal domain decomposition techniques. 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. editor / Eugenio Onate ; Xavier Oliver ; Antonio Huerta. International Center for Numerical Methods in Engineering, 2014. pp. 3524-3534 (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014).

@inproceedings{46e8876799b741a0a6285e59b8197877,

title = "Multiscale analysis of damage using dual and primal domain decomposition techniques",

abstract = "In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multi-scale strategy essentially consists in decomposing the structure into a number of non-overlapping domains and considering a refined spatial resolution where needed. In mul-tiscale analysis of damage, the spatial refinement is performed where damage nucleation and propagation take place. The domain decomposition approach turns to be a computationally cheaper alternative to the direct numerical solution in which a fine scale model is considered throughout the complete sample. Dual and primal domain decomposition techniques are appropriate for such concurrent multiscale analyses and provide identical results. Parallel scalability of the multiscale analysis is studied using a moderate number of processors and a parallel direct solver for the system obtained through the assembly of all domains.",

keywords = "Dual and primal domain decomposition methods, Multiscale analysis, Strain localization, Strain softening",

author = "Oriol Lloberas-Valls and Everdij, {Frank P.X.} and Rixen, {Daniel J.} and Angelo Simone and Sluys, {Lambertus J.}",

year = "2014",

month = jul,

day = "1",

language = "English",

series = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",

publisher = "International Center for Numerical Methods in Engineering",

pages = "3524--3534",

editor = "Eugenio Onate and Xavier Oliver and Antonio Huerta",

booktitle = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",

note = "Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 ; Conference date: 20-07-2014 Through 25-07-2014",

}

Lloberas-Valls, O, Everdij, FPX, Rixen, DJ, Simone, A & Sluys, LJ 2014, Multiscale analysis of damage using dual and primal domain decomposition techniques. in E Onate, X Oliver & A Huerta (eds), 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, International Center for Numerical Methods in Engineering, pp. 3524-3534, Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014, Barcelona, Spain, 20/07/14.

Multiscale analysis of damage using dual and primal domain decomposition techniques. / Lloberas-Valls, Oriol; Everdij, Frank P.X.; Rixen, Daniel J. et al.
11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. ed. / Eugenio Onate; Xavier Oliver; Antonio Huerta. International Center for Numerical Methods in Engineering, 2014. p. 3524-3534 (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Multiscale analysis of damage using dual and primal domain decomposition techniques

AU - Lloberas-Valls, Oriol

AU - Everdij, Frank P.X.

AU - Rixen, Daniel J.

AU - Simone, Angelo

AU - Sluys, Lambertus J.

PY - 2014/7/1

Y1 - 2014/7/1

N2 - In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multi-scale strategy essentially consists in decomposing the structure into a number of non-overlapping domains and considering a refined spatial resolution where needed. In mul-tiscale analysis of damage, the spatial refinement is performed where damage nucleation and propagation take place. The domain decomposition approach turns to be a computationally cheaper alternative to the direct numerical solution in which a fine scale model is considered throughout the complete sample. Dual and primal domain decomposition techniques are appropriate for such concurrent multiscale analyses and provide identical results. Parallel scalability of the multiscale analysis is studied using a moderate number of processors and a parallel direct solver for the system obtained through the assembly of all domains.

AB - In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multi-scale strategy essentially consists in decomposing the structure into a number of non-overlapping domains and considering a refined spatial resolution where needed. In mul-tiscale analysis of damage, the spatial refinement is performed where damage nucleation and propagation take place. The domain decomposition approach turns to be a computationally cheaper alternative to the direct numerical solution in which a fine scale model is considered throughout the complete sample. Dual and primal domain decomposition techniques are appropriate for such concurrent multiscale analyses and provide identical results. Parallel scalability of the multiscale analysis is studied using a moderate number of processors and a parallel direct solver for the system obtained through the assembly of all domains.

KW - Dual and primal domain decomposition methods

KW - Multiscale analysis

KW - Strain localization

KW - Strain softening

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M3 - Conference contribution

AN - SCOPUS:84924007076

T3 - 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

SP - 3524

EP - 3534

BT - 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

A2 - Onate, Eugenio

A2 - Oliver, Xavier

A2 - Huerta, Antonio

PB - International Center for Numerical Methods in Engineering

T2 - Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Y2 - 20 July 2014 through 25 July 2014

ER -

Lloberas-Valls O, Everdij FPX, Rixen DJ, Simone A, Sluys LJ. Multiscale analysis of damage using dual and primal domain decomposition techniques. In Onate E, Oliver X, Huerta A, editors, 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. International Center for Numerical Methods in Engineering. 2014. p. 3524-3534. (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014).

Multiscale analysis of damage using dual and primal domain decomposition techniques

Abstract

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Keywords

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