TY - JOUR

T1 - A quasi-monolithic phase-field description for orthotropic anisotropic fracture with adaptive mesh refinement and primal–dual active set method

AU - Noii, Nima

AU - Fan, Meng

AU - Wick, Thomas

AU - Jin, Yan

N1 - Funding Information: NN and TW acknowledge the past support of the PRIORITY PROGRAM DFG - SPP 1748 under the project No. 392587580, when important parts of this paper in the year 2019 where accomplished. MF and YJ were funded from the program of China Scholarships Council No. 201806440069, and National Natural Science Foundation of China No. 51490651.

PY - 2021/12

Y1 - 2021/12

N2 - In this work, thermodynamically consistent phase-field fracture frameworks for transversely isotropic and orthotropic settings are proposed. We formulate an anisotropic crack phase-field via a penalization approach for each family of fibers. The resulting model is augmented with thermodynamical arguments and then carefully analyzed from a mechanical perspective. The fracture dissipation inequality to prevent crack healing is imposed via a primal–dual active set strategy. Predictor–corrector mesh adaptivity allows to work with small length-scale parameters at a reasonable computational cost. Due to the importance of laminated structures for industrial applications, fracture responses for transversely isotropic and orthotropic materials are performed. Therein, several studies are conducted that include comparisons of anisotropic formulations with Griffith's critical elastic energy release rate and with specific critical fracture energy formulations, as well as non-split and split approaches.

AB - In this work, thermodynamically consistent phase-field fracture frameworks for transversely isotropic and orthotropic settings are proposed. We formulate an anisotropic crack phase-field via a penalization approach for each family of fibers. The resulting model is augmented with thermodynamical arguments and then carefully analyzed from a mechanical perspective. The fracture dissipation inequality to prevent crack healing is imposed via a primal–dual active set strategy. Predictor–corrector mesh adaptivity allows to work with small length-scale parameters at a reasonable computational cost. Due to the importance of laminated structures for industrial applications, fracture responses for transversely isotropic and orthotropic materials are performed. Therein, several studies are conducted that include comparisons of anisotropic formulations with Griffith's critical elastic energy release rate and with specific critical fracture energy formulations, as well as non-split and split approaches.

KW - Anisotropic brittle fracture

KW - Orthotropic anisotropic

KW - Phase-field modeling

KW - Predictor–corrector mesh adaptivity

KW - Primal–dual active set

KW - Transversely isotropic

UR - http://www.scopus.com/inward/record.url?scp=85118721830&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2021.108060

DO - 10.1016/j.engfracmech.2021.108060

M3 - Article

AN - SCOPUS:85118721830

VL - 258

JO - Engineering fracture mechanics

JF - Engineering fracture mechanics

SN - 0013-7944

M1 - 108060

ER -