A high-precision framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium

Wahl, Henry von; Wick, Thomas

doi:10.48550/arxiv.2212.07982

Cited by 1 publication

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“…On the other hand, the level-set method 23 is an attractive approach to identifying the crack domain and estimating the normal vector on the level-set boundary. 17,18,24 This method can provide a set of iso-surface describing the boundary of the crack domain, but cannot identify the accurate lower-dimensional crack path. A point searching algorithm is still needed, for example in Reference 19.…”

Section: Introductionmentioning

confidence: 99%

Reconstruct lower‐dimensional crack paths from phase‐field point cloud

You

Zhu

2023

Numerical Meth Engineering

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Because of the smeared representation of phase‐field fracture, reconstructing lower‐dimensional crack paths is challenging, which may impede the further applications of the phase‐field method in the modeling of fault friction and fluid flow in fracture. In the present work, we propose to capture the crack curves or surfaces from two‐dimensional or three‐dimensional phase‐field point cloud using an optimized ridge regression algorithm, and k‐nearest neighbor and principal component analysis are used to estimate the normal direction of each segment on the identified discrete crack path. The sensitivity and computational efficiency of the proposed method are investigated thoroughly. Subsequently, this method is extended to reconstruct the complex discrete fracture networks. Finally, several benchmarks for fracture, fault friction and fluid flow problems are presented to demonstrate the strength of the proposed approach.

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