Phase field modeling of brittle compressive-shear fractures in rock-like materials

A new driving force and a hybrid formulation

verfasst von: Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk
Abstract: Compressive-shear fracture is commonly observed in rock-like materials. However, this fracture type cannot be captured by current phase field models (PFMs), which have been proven an effective tool for modeling fracture initiation, propagation, coalescence, and branching in solids. The existing PFMs also cannot describe the influence of cohesion and internal friction angle on load–displacement curve during compression tests. Therefore, to develop a new phase field model that can simulate well compressive-shear fractures in rock-like materials, we construct a new driving force in the evolution equation of phase field. Strain spectral decomposition is applied and only the compressive part of the strain is used in the new driving force with consideration of the influence of cohesion and internal friction angle. For ease of implementation, a hybrid formulation is established for the phase field modeling. Then, we test the brittle compressive-shear fractures in uniaxial compression tests on intact rock-like specimens as well as those with a single or two parallel inclined flaws. All numerical results are in good agreement with the experimental observation, validating the feasibility and practicability of the proposed PFM for simulating brittle compressive-shear fractures.
Organisationseinheit(en): Institut für Kontinuumsmechanik
Externe Organisation(en): Tongji University
Ton Duc Thang University
Typ: Artikel
Journal: Computer Methods in Applied Mechanics and Engineering
Band: 355
Seiten: 729-752
Anzahl der Seiten: 24
ISSN: 0045-7825
Publikationsdatum: 01.10.2019
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Allgemeine Physik und Astronomie, Angewandte Informatik
Elektronische Version(en): https://doi.org/10.48550/arXiv.2308.05748 (Zugang: Offen)
https://doi.org/10.1016/j.cma.2019.06.021 (Zugang: Geschlossen)
: Details im Forschungsportal „Research@Leibniz University“

BibTeX

@article{39a65faeb52e4a8d9417e94c02dddbdc,
title = "Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation",
abstract = "Compressive-shear fracture is commonly observed in rock-like materials. However, this fracture type cannot be captured by current phase field models (PFMs), which have been proven an effective tool for modeling fracture initiation, propagation, coalescence, and branching in solids. The existing PFMs also cannot describe the influence of cohesion and internal friction angle on load–displacement curve during compression tests. Therefore, to develop a new phase field model that can simulate well compressive-shear fractures in rock-like materials, we construct a new driving force in the evolution equation of phase field. Strain spectral decomposition is applied and only the compressive part of the strain is used in the new driving force with consideration of the influence of cohesion and internal friction angle. For ease of implementation, a hybrid formulation is established for the phase field modeling. Then, we test the brittle compressive-shear fractures in uniaxial compression tests on intact rock-like specimens as well as those with a single or two parallel inclined flaws. All numerical results are in good agreement with the experimental observation, validating the feasibility and practicability of the proposed PFM for simulating brittle compressive-shear fractures.",
keywords = "Compressive-shear fracture, Driving force, Hybrid formulation, Phase field model, Rock-like material, Strain decomposition",
author = "Shuwei Zhou and Xiaoying Zhuang and Timon Rabczuk",
note = "Funding information: The authors gratefully acknowledge financial support provided by the Natural Science Foundation of China ( 51474157 ), and RISE-project BESTOFRAC, Germany ( 734370 ).",
year = "2019",
month = oct,
day = "1",
doi = "10.48550/arXiv.2308.05748",
language = "English",
volume = "355",
pages = "729--752",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}