@article{8f66f3e9085e4c67860b31da46eb4450,
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",
}