Averaging-Based Approach to Toughness Homogenisation for Radial Hydraulic Fracture

G. Da fies, M. Dutko, D. Peck

Research output: Chapter in Book/Report/Conference proceedingChapter


The homogenisation of the fracture toughness is considered in the context of a propagating hydraulic fracture. The radial (penny-shape) model is utilised, in order to incorporate the impact of the viscosity-toughness regime transition over time. A homogenisation strategy based on temporal averaging is investigated. This approach incorporates the instantaneous fracture velocity, meaning that it should remain effective in the case of step-wise crack advancement. The effectiveness of the approach is demonstrated for periodic toughness distributions, including those which are unbalanced, utilising a highly accurate solver.

Original languageEnglish
Title of host publicationMechanics of Heterogeneous Materials
EditorsHolm Altenbach, Giovanni Bruno, Victor A. Eremeyev, Mikhail Yu. Gutkin, Wolfgang H. Müller
PublisherSpringer Nature
Number of pages35
ISBN (Electronic)9783031287442
ISBN (Print)9783031287435, 9783031287466
Publication statusPublished - 13 Jul 2023

Publication series

NameAdvanced Structured Materials
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441


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