A temporal averaging–based approach to toughness homogenisation in heterogeneous material

Gaspare Da Fies; Daniel Peck; Martin Dutko; Gennady Mishuris

doi:10.1177/10812865221117553

A temporal averaging–based approach to toughness homogenisation in heterogeneous material

Gaspare Da Fies, Daniel Peck, Martin Dutko, Gennady Mishuris^*

^*Awdur cyfatebol y gwaith hwn

Adran Mathemateg

Rockfield

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

6 Dyfyniadau (Scopus)

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A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process dependent, incorporating the crack velocity and material toughness. The effectiveness of the new technique is investigated in the context of hydraulic fracture through heterogeneous rock with a periodic material toughness. The plane strain model is considered without fluid leak-off, to more easily investigate different regimes (toughness/viscosity). Numerical simulations are used to examine the effectiveness of the new homogenisation strategy, with comparison against the recently proposed maximum toughness strategy. Simulations are conducted using an extremely effective (in house-built) time–space adaptive solver. The regimes in which each strategy is effective are determined.

Iaith wreiddiol	Saesneg
Cyfnodolyn	Mathematics and Mechanics of Solids
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1177/10812865221117553
Statws	Cyhoeddwyd - 21 Medi 2022

Mynediad at Ddogfen

10.1177/10812865221117553Trwydded: CC BY-NC

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Dolen i’r cyhoeddiad yn Scopus

New Findings Reported from Aberystwyth University Describe Advances in Mathematics and Mechanics of Solids (A Temporal Averaging-based Approach To Toughness Homogenisation In Heterogeneous Material)
Peck, D.
05 Rhag 2024
1 eitem o Sylw ar y cyfryngau
Y Wasg / Cyfryngau: Sylw yn y cyfryngau

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title = "A temporal averaging–based approach to toughness homogenisation in heterogeneous material",

abstract = "A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process dependent, incorporating the crack velocity and material toughness. The effectiveness of the new technique is investigated in the context of hydraulic fracture through heterogeneous rock with a periodic material toughness. The plane strain model is considered without fluid leak-off, to more easily investigate different regimes (toughness/viscosity). Numerical simulations are used to examine the effectiveness of the new homogenisation strategy, with comparison against the recently proposed maximum toughness strategy. Simulations are conducted using an extremely effective (in house-built) time–space adaptive solver. The regimes in which each strategy is effective are determined.",

keywords = "Hydraulic fracture, impermeable rock, periodic toughness distribution, toughness averaging, various regimes",

author = "{Da Fies}, Gaspare and Daniel Peck and Martin Dutko and Gennady Mishuris",

note = "Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The authors have been funded by Welsh Government via S{\^e}r Cymru Future Generations Industrial Fellowship grant AU224 and the European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement EffectFact No. 101008140. Funding Information: G.M. is thankful to the Royal Society for the Wolfson Research Merit Award, while M.D. acknowledges the Royal Academy of Engineering for the Industrial Fellowship. The authors are very grateful to the (anonymous) reviewers for their helpful comments. Publisher Copyright: {\textcopyright} The Author(s) 2022.",

year = "2022",

month = sep,

day = "21",

doi = "10.1177/10812865221117553",

language = "English",

journal = "Mathematics and Mechanics of Solids",

issn = "1081-2865",

publisher = "SAGE Publishing",

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AU - Da Fies, Gaspare

AU - Peck, Daniel

AU - Dutko, Martin

AU - Mishuris, Gennady

N1 - Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The authors have been funded by Welsh Government via Sêr Cymru Future Generations Industrial Fellowship grant AU224 and the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement EffectFact No. 101008140. Funding Information: G.M. is thankful to the Royal Society for the Wolfson Research Merit Award, while M.D. acknowledges the Royal Academy of Engineering for the Industrial Fellowship. The authors are very grateful to the (anonymous) reviewers for their helpful comments. Publisher Copyright: © The Author(s) 2022.

PY - 2022/9/21

Y1 - 2022/9/21

N2 - A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process dependent, incorporating the crack velocity and material toughness. The effectiveness of the new technique is investigated in the context of hydraulic fracture through heterogeneous rock with a periodic material toughness. The plane strain model is considered without fluid leak-off, to more easily investigate different regimes (toughness/viscosity). Numerical simulations are used to examine the effectiveness of the new homogenisation strategy, with comparison against the recently proposed maximum toughness strategy. Simulations are conducted using an extremely effective (in house-built) time–space adaptive solver. The regimes in which each strategy is effective are determined.

AB - A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process dependent, incorporating the crack velocity and material toughness. The effectiveness of the new technique is investigated in the context of hydraulic fracture through heterogeneous rock with a periodic material toughness. The plane strain model is considered without fluid leak-off, to more easily investigate different regimes (toughness/viscosity). Numerical simulations are used to examine the effectiveness of the new homogenisation strategy, with comparison against the recently proposed maximum toughness strategy. Simulations are conducted using an extremely effective (in house-built) time–space adaptive solver. The regimes in which each strategy is effective are determined.

KW - Hydraulic fracture

KW - impermeable rock

KW - periodic toughness distribution

KW - toughness averaging

KW - various regimes

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DO - 10.1177/10812865221117553

M3 - Article

SN - 1081-2865

JO - Mathematics and Mechanics of Solids

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ER -

A temporal averaging–based approach to toughness homogenisation in heterogeneous material

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Y Wasg / Y Cyfryngau

New Findings Reported from Aberystwyth University Describe Advances in Mathematics and Mechanics of Solids (A Temporal Averaging-based Approach To Toughness Homogenisation In Heterogeneous Material)

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