Phase-field modelling of crack propagation
department or school: Applied Science, Faculty of
department or school: Materials Engineering, Department of
data provider: DSpace
degree campus: UBCV
creator: Li, Zhuo
issued: 2021-06-21T21:55:43Z
issued: 2021
related degree: Master of Applied Science - MASc
degree grantor: University of British Columbia
description: Brittle fracture has been investigated for more than a century. Various models managed to capture the fracture phenomena, among which the phase-field models gained popularity in the mechanics and the physics community in the past two decades. However, due to distinct backgrounds, detailed comparisons between the phase-field models in the two communities are missing. Therefore, to understand the strengths and limitations of these models, this study aims to compare them in the same settings. Quasi-static and dynamic brittle fractures are investigated in the current work, of which the main difference is the loading speed. Since numerous phase-field models have been developed in both communities, in the present work, only the most representative models are selected, i.e., Miehe et al.'s model and the Karma-Kessler-Levine (KKL) model. Through comparisons with the Griffith theory, in quasi-static simulations, the unphysical dependence of the energy release rate on the load in the KKL model was observed. Meanwhile, in dynamic fracture, both models showed good agreement with the theories by Eshelby and Adda-Bedia in some aspects while deviations in others. The results suggest that for quasi-static fracture, Miehe et al.’s model is a reasonable option. While for dynamic fracture, comparisons with experiments are necessary to evaluate the accuracy of the models.
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/78747
note: Phase-Field Modelling of CrackPropagationbyZhuo LiA THESIS SUBMITTED IN PARTIAL FULFILLMENT OFTHE REQUIREMENTS FOR THE DEGREE OFMASTER OF APPLIED SCIENCEinThe Faculty of Graduate and Postdoctoral Studies(Materials Engineering)THE UNIVERSITY OF BRITISH COLUMBIA(Vancouver)June 2021© Zhuo Li 2021The following individuals certify that they have read, and recommend to the Faculty ofGraduate and Postdoctoral Studies for acceptance, the thesis entitled:Phase-Field Modelling of Crack Propagationsubmitted by Zhuo Li in partial fulfillment of the requirements for the degree of Masterof Applied Science in Materials Engineering.Examining Committee:Matthias Militzer, Professor, Materials Engineering Department, UBCSupervisorWarren J. Poole, Professor, Materials Engineering Department, UBCSupervisory Committee MemberChadwick Sinclair, Professor, Materials Engineering Department, UBCSupervisory Committee MemberiiAbstractBrittle fracture has been investigated for more than a century. Various models managed tocapture the fracture phenomena, among which the phase-field models gained popularity inthe mechanics and the physics community in the past two decades. However, due to distinctbackgrounds, detailed comparisons between the phase-field models in the two communitiesare missing. Therefore, to understand the strengths and limitations of these models, thisstudy aims to compare them in the same settings. Quasi-static and dynamic brittle fracturesare investigated in the current work, of which the main difference is the loading speed.Since numerous phase-field models have been developed in both communities, in thepresent work, only the most representative models are selected, i.e., Miehe et al.’s model[1] and the Karma-Kessler-Levine (KKL) model [2]. Through comparisons with the Griffiththeory [3], in quasi-static simulations, the unphysical dependence of the energy release rateon the load in the KKL model was observed. Meanwhile, in dynamic fracture, both modelsshowed good agreement wi…
has type: Thesis/Dissertation
date issued: 2021-11
is shown at: 10.14288/1.0398480
language: eng
degree discipline: Materials Engineering
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
contributor: Militzer, Matthias
type: Text
identifier URI: http://hdl.handle.net/2429/78747