Asymptotic Modelling of Fractures with Constricted Opening

Elena Pasternak; Arcady V. Dyskin

doi:10.1007/978-3-031-22213-9_14

Asymptotic Modelling of Fractures with Constricted Opening

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

Abstract

Fractures in geomaterials do not grow as a continuous surface as they are affected by local interruptions and overlapping. These form bridges which being distributed all over the fracture constrict its opening. The effect of the distributed bridges is modelled by an equivalent Winkler layer whose stiffness represents the total bridge stiffness per unit area of the fracture. The paper develops approximate expressions for the stress intensity factors and volume (area in 2D) of fracture opening under uniform tensile load based on interpolating between the asymptotics of small and large fractures. A case of growth of a fracture with constricted opening under displacement-control loading is analysed. The presented results can be important in modelling of fracture propagation in heterogenous materials.

Original language	English
Title of host publication	Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics
Editors	Elena Pasternak, Arcady Dyskin
Publisher	Springer Science + Business Media
Pages	136-143
Number of pages	8
ISBN (Print)	9783031222122
DOIs	https://doi.org/10.1007/978-3-031-22213-9_14
Publication status	Published - 2023
Event	12th International Workshop on Bifurcation and Degradation in Geomechanics - Perth, Australia Duration: 28 Nov 2022 → 1 Dec 2022

Publication series

Name	Springer Series in Geomechanics and Geoengineering
ISSN (Print)	1866-8755
ISSN (Electronic)	1866-8763

Conference

Conference	12th International Workshop on Bifurcation and Degradation in Geomechanics
Abbreviated title	IWBDG 2022
Country/Territory	Australia
City	Perth
Period	28/11/22 → 1/12/22

Funding

Funders	Funder number
ARC Australian Research Council	DP190103260

Access to Document

10.1007/978-3-031-22213-9_14

Cite this

Pasternak, E., & Dyskin, A. V. (2023). Asymptotic Modelling of Fractures with Constricted Opening. In E. Pasternak, & A. Dyskin (Eds.), Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics (pp. 136-143). (Springer Series in Geomechanics and Geoengineering). Springer Science + Business Media. https://doi.org/10.1007/978-3-031-22213-9_14

Pasternak, Elena ; Dyskin, Arcady V. / Asymptotic Modelling of Fractures with Constricted Opening. Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. editor / Elena Pasternak ; Arcady Dyskin. Springer Science + Business Media, 2023. pp. 136-143 (Springer Series in Geomechanics and Geoengineering).

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title = "Asymptotic Modelling of Fractures with Constricted Opening",

abstract = "Fractures in geomaterials do not grow as a continuous surface as they are affected by local interruptions and overlapping. These form bridges which being distributed all over the fracture constrict its opening. The effect of the distributed bridges is modelled by an equivalent Winkler layer whose stiffness represents the total bridge stiffness per unit area of the fracture. The paper develops approximate expressions for the stress intensity factors and volume (area in 2D) of fracture opening under uniform tensile load based on interpolating between the asymptotics of small and large fractures. A case of growth of a fracture with constricted opening under displacement-control loading is analysed. The presented results can be important in modelling of fracture propagation in heterogenous materials.",

keywords = "Bridges, Cracks, Displacement-control loading, Interpolation between asymptotics, Winkler layer",

author = "Elena Pasternak and Dyskin, \{Arcady V.\}",

note = "Funding Information: Acknowledgements. AVD and EP acknowledge the support of the Australian Research Council through project DP190103260. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 12th International Workshop on Bifurcation and Degradation in Geomechanics, IWBDG 2022 ; Conference date: 28-11-2022 Through 01-12-2022",

year = "2023",

doi = "10.1007/978-3-031-22213-9\_14",

language = "English",

isbn = "9783031222122",

series = "Springer Series in Geomechanics and Geoengineering",

publisher = "Springer Science + Business Media",

pages = "136--143",

editor = "Elena Pasternak and Arcady Dyskin",

booktitle = "Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics",

address = "United States",

}

Pasternak, E & Dyskin, AV 2023, Asymptotic Modelling of Fractures with Constricted Opening. in E Pasternak & A Dyskin (eds), Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. Springer Series in Geomechanics and Geoengineering, Springer Science + Business Media, pp. 136-143, 12th International Workshop on Bifurcation and Degradation in Geomechanics, Perth, Western Australia, Australia, 28/11/22. https://doi.org/10.1007/978-3-031-22213-9_14

Asymptotic Modelling of Fractures with Constricted Opening. / Pasternak, Elena ; Dyskin, Arcady V.
Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. ed. / Elena Pasternak; Arcady Dyskin. Springer Science + Business Media, 2023. p. 136-143 (Springer Series in Geomechanics and Geoengineering).

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

TY - GEN

T1 - Asymptotic Modelling of Fractures with Constricted Opening

AU - Pasternak, Elena

AU - Dyskin, Arcady V.

N1 - Funding Information: Acknowledgements. AVD and EP acknowledge the support of the Australian Research Council through project DP190103260. Publisher Copyright: © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - Fractures in geomaterials do not grow as a continuous surface as they are affected by local interruptions and overlapping. These form bridges which being distributed all over the fracture constrict its opening. The effect of the distributed bridges is modelled by an equivalent Winkler layer whose stiffness represents the total bridge stiffness per unit area of the fracture. The paper develops approximate expressions for the stress intensity factors and volume (area in 2D) of fracture opening under uniform tensile load based on interpolating between the asymptotics of small and large fractures. A case of growth of a fracture with constricted opening under displacement-control loading is analysed. The presented results can be important in modelling of fracture propagation in heterogenous materials.

AB - Fractures in geomaterials do not grow as a continuous surface as they are affected by local interruptions and overlapping. These form bridges which being distributed all over the fracture constrict its opening. The effect of the distributed bridges is modelled by an equivalent Winkler layer whose stiffness represents the total bridge stiffness per unit area of the fracture. The paper develops approximate expressions for the stress intensity factors and volume (area in 2D) of fracture opening under uniform tensile load based on interpolating between the asymptotics of small and large fractures. A case of growth of a fracture with constricted opening under displacement-control loading is analysed. The presented results can be important in modelling of fracture propagation in heterogenous materials.

KW - Bridges

KW - Cracks

KW - Displacement-control loading

KW - Interpolation between asymptotics

KW - Winkler layer

UR - https://www.scopus.com/pages/publications/85144826483

U2 - 10.1007/978-3-031-22213-9_14

DO - 10.1007/978-3-031-22213-9_14

M3 - Conference paper

AN - SCOPUS:85144826483

SN - 9783031222122

T3 - Springer Series in Geomechanics and Geoengineering

SP - 136

EP - 143

BT - Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics

A2 - Pasternak, Elena

A2 - Dyskin, Arcady

PB - Springer Science + Business Media

T2 - 12th International Workshop on Bifurcation and Degradation in Geomechanics

Y2 - 28 November 2022 through 1 December 2022

ER -

Pasternak E , Dyskin AV. Asymptotic Modelling of Fractures with Constricted Opening. In Pasternak E, Dyskin A, editors, Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. Springer Science + Business Media. 2023. p. 136-143. (Springer Series in Geomechanics and Geoengineering). doi: 10.1007/978-3-031-22213-9_14

Asymptotic Modelling of Fractures with Constricted Opening

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Constricted hydraulic fracture opening

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Asymptotic Modelling of Fractures with Constricted Opening

Abstract

Publication series

Conference

Funding

Access to Document

Other files and links

Fingerprint

Projects

Constricted hydraulic fracture opening

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