Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials

David M. Walker; A. Tordesillas

doi:10.1007/978-94-007-1421-2

Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

Abstract

Techniques from Complex Networks are used to study the evolving
topology and functional connectivity in various granular systems in both two and
three dimensions. A generic process of self-organization in all samples is realized
and is characterized by the co-evolutionary synergy between force chains and
3-cycles. Three-cycles provide force chains a twofold benefit: (i) they prop-up force
chains in the way that a counterfort or buttress supports a wall, and (ii) they frustrate
rolling at contacts which is a critical mechanism for buckling. All samples reflect an
inherent structural hierarchy where cyclic (minimal cycles) and linear (force chains)
motifs of various length scales serve as basic building blocks for self-organization.

Original language	English
Title of host publication	Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials
Editors	Stéphane Bonelli, Cristian Dascalu, François Nicot
Place of Publication	Netherlands
Publisher	Springer
Pages	11-20
Number of pages	10
Volume	1
ISBN (Print)	9789400714205
DOIs	https://doi.org/10.1007/978-94-007-1421-2
Publication status	Published - 2011
Externally published	Yes
Event	The 9th International Workshop on Bifurcations and Degradation in Geomaterials - Porquerolles, France Duration: 23 May 2011 → 26 May 2011

Publication series

Name	Springer Series in Geomechanics and Geoengineering
Publisher	Springer
Volume	11
ISSN (Print)	1866-8755

Conference

Conference	The 9th International Workshop on Bifurcations and Degradation in Geomaterials
Period	23/05/11 → 26/05/11

Access to Document

10.1007/978-94-007-1421-2

Cite this

Walker, D. M., & Tordesillas, A. (2011). Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials. In S. Bonelli, C. Dascalu, & F. Nicot (Eds.), Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials (Vol. 1, pp. 11-20). (Springer Series in Geomechanics and Geoengineering; Vol. 11). Springer. https://doi.org/10.1007/978-94-007-1421-2

Walker, David M. ; Tordesillas, A. / Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials. Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials. editor / Stéphane Bonelli ; Cristian Dascalu ; François Nicot. Vol. 1 Netherlands : Springer, 2011. pp. 11-20 (Springer Series in Geomechanics and Geoengineering).

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title = "Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials",

abstract = "Techniques from Complex Networks are used to study the evolving topology and functional connectivity in various granular systems in both two and three dimensions. A generic process of self-organization in all samples is realized and is characterized by the co-evolutionary synergy between force chains and 3-cycles. Three-cycles provide force chains a twofold benefit: (i) they prop-up force chains in the way that a counterfort or buttress supports a wall, and (ii) they frustrate rolling at contacts which is a critical mechanism for buckling. All samples reflect an inherent structural hierarchy where cyclic (minimal cycles) and linear (force chains) motifs of various length scales serve as basic building blocks for self-organization.",

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year = "2011",

doi = "10.1007/978-94-007-1421-2",

language = "English",

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booktitle = "Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials",

address = "Netherlands",

note = "The 9th International Workshop on Bifurcations and Degradation in Geomaterials ; Conference date: 23-05-2011 Through 26-05-2011",

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Walker, DM & Tordesillas, A 2011, Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials. in S Bonelli, C Dascalu & F Nicot (eds), Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials. vol. 1, Springer Series in Geomechanics and Geoengineering, vol. 11, Springer, Netherlands, pp. 11-20, The 9th International Workshop on Bifurcations and Degradation in Geomaterials, 23/05/11. https://doi.org/10.1007/978-94-007-1421-2

Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials. / Walker, David M.; Tordesillas, A.
Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials. ed. / Stéphane Bonelli; Cristian Dascalu; François Nicot. Vol. 1 Netherlands: Springer, 2011. p. 11-20 (Springer Series in Geomechanics and Geoengineering; Vol. 11).

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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AU - Walker, David M.

AU - Tordesillas, A.

PY - 2011

Y1 - 2011

N2 - Techniques from Complex Networks are used to study the evolving topology and functional connectivity in various granular systems in both two and three dimensions. A generic process of self-organization in all samples is realized and is characterized by the co-evolutionary synergy between force chains and 3-cycles. Three-cycles provide force chains a twofold benefit: (i) they prop-up force chains in the way that a counterfort or buttress supports a wall, and (ii) they frustrate rolling at contacts which is a critical mechanism for buckling. All samples reflect an inherent structural hierarchy where cyclic (minimal cycles) and linear (force chains) motifs of various length scales serve as basic building blocks for self-organization.

AB - Techniques from Complex Networks are used to study the evolving topology and functional connectivity in various granular systems in both two and three dimensions. A generic process of self-organization in all samples is realized and is characterized by the co-evolutionary synergy between force chains and 3-cycles. Three-cycles provide force chains a twofold benefit: (i) they prop-up force chains in the way that a counterfort or buttress supports a wall, and (ii) they frustrate rolling at contacts which is a critical mechanism for buckling. All samples reflect an inherent structural hierarchy where cyclic (minimal cycles) and linear (force chains) motifs of various length scales serve as basic building blocks for self-organization.

U2 - 10.1007/978-94-007-1421-2

DO - 10.1007/978-94-007-1421-2

M3 - Conference paper

SN - 9789400714205

VL - 1

T3 - Springer Series in Geomechanics and Geoengineering

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EP - 20

BT - Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials

A2 - Bonelli, Stéphane

A2 - Dascalu, Cristian

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PB - Springer

CY - Netherlands

T2 - The 9th International Workshop on Bifurcations and Degradation in Geomaterials

Y2 - 23 May 2011 through 26 May 2011

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Walker DM, Tordesillas A. Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials. In Bonelli S, Dascalu C, Nicot F, editors, Advances in Bifurcation and Degradation in Geomaterials: Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials. Vol. 1. Netherlands: Springer. 2011. p. 11-20. (Springer Series in Geomechanics and Geoengineering). doi: 10.1007/978-94-007-1421-2

Deciphering D'Alembert's dream: new tools for uncovering riles for self-organized pattern formation in geomaterials

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