TY - JOUR

T1 - Reconstruct lower-dimensional crack paths from phase-field point cloud

AU - Xu, Yue

AU - You, Tao

AU - Zhu, Qizhi

N1 - Publisher Copyright: © 2023 John Wiley & Sons Ltd.

PY - 2023/8/15

Y1 - 2023/8/15

N2 - 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.

AB - 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.

KW - crack reconstruction

KW - discrete fracture network

KW - fault friction

KW - normal direction

KW - phase-field method

KW - point cloud

UR - http://www.scopus.com/inward/record.url?scp=85153341876&partnerID=8YFLogxK

U2 - 10.1002/nme.7249

DO - 10.1002/nme.7249

M3 - Article

AN - SCOPUS:85153341876

VL - 124.2023

SP - 3329

EP - 3351

JO - International journal for numerical methods in engineering

JF - International journal for numerical methods in engineering

SN - 0029-5981

IS - 15

ER -