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arXiv · 2203.11985

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

Gaspare Da Fies·Daniel Peck·Martin Dutko·Gennady Mishuris
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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.

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Gaspare Da Fies, Daniel Peck, Martin Dutko, Gennady Mishuris. 2022-03-22. A temporal-averaging based approach to toughness homogenisation in heterogeneous material. https://arxiv.org/abs/2203.11985

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