Details
| Original language | English |
|---|---|
| Article number | 108060 |
| Journal | Engineering fracture mechanics |
| Volume | 258 |
| Early online date | 30 Oct 2021 |
| Publication status | Published - Dec 2021 |
Abstract
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.
Keywords
- Anisotropic brittle fracture, Orthotropic anisotropic, Phase-field modeling, Predictor–corrector mesh adaptivity, Primal–dual active set, Transversely isotropic
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Engineering fracture mechanics, Vol. 258, 108060, 12.2021.
Research output: Contribution to journal › Article › Research › peer review
}
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 -