A phase-field framework for brittle fracture in quasi-crystals
Most of quasi-crystals are brittle at room temperature due to their specific cluster structures. Phase-field fracture models have demonstrated a powerful ability to predict brittle crack evolution. This paper develops a phase-field framework for modeling macroscopic brittle fracture in quasi-crystal...
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sg-ntu-dr.10356-1708792023-10-04T04:50:53Z A phase-field framework for brittle fracture in quasi-crystals Li, Peidong Li, Weidong Fan, Haidong Wang, Qingyuan Zhou, Kun School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Phase-Field Model Brittle Fracture Most of quasi-crystals are brittle at room temperature due to their specific cluster structures. Phase-field fracture models have demonstrated a powerful ability to predict brittle crack evolution. This paper develops a phase-field framework for modeling macroscopic brittle fracture in quasi-crystal solids. The kind of quasi-crystals is not preset in the phase-field model; therefore, this model is valid for almost all quasi-crystal solids. The phase-field model for the first time introduces a volume fraction parameter into the fracture toughness to reflect the effect of phason wall. Furthermore, a new numerical implementation approach of phase-field fracture models in COMSOL MULTIPHYSICS is presented. Several examples of 1D hexagonal and 2D decagonal quasi-crystals are performed. The developed model is validated against the reported results of benchmark problems. Further investigations indicate that the phason field peculiar to quasi-crystals has a certain influence on the crack paths in asymmetric fracture problems and on the force–displacement curves in both symmetric and asymmetric fracture problems. When the fracture toughness is fixed, the increase of the volume fraction parameter results in the decrease of the peak force and the increase of the failure displacement. When the influence of the phason field on the fracture toughness is considered, both the peak force and failure displacement would sharply decrease, which indicates that the degradation of fracture toughness due to the phason field plays a more important role than the phason elastic energy in the fracture of quasi-crystals. Furthermore, the relation between the phonon-phason energy transformation and the elastic constants of QCs has been qualitatively analyzed. The developed phase-field modeling framework provides a guidance for understanding the fracture mechanism of quasi-crystals and assessing the safety of quasi-crystal structures in engineering practice. This work is supported primarily by the National Natural Science Foundation of China (Nos.12172237, 11802189 and 11832007). The support from Sichuan Science and Technology Program (No. 2021YJ0513-BG) is also gratefully acknowledged. 2023-10-04T04:50:53Z 2023-10-04T04:50:53Z 2023 Journal Article Li, P., Li, W., Fan, H., Wang, Q. & Zhou, K. (2023). A phase-field framework for brittle fracture in quasi-crystals. International Journal of Solids and Structures, 279, 112385-. https://dx.doi.org/10.1016/j.ijsolstr.2023.112385 0020-7683 https://hdl.handle.net/10356/170879 10.1016/j.ijsolstr.2023.112385 2-s2.0-85162015515 279 112385 en International Journal of Solids and Structures © 2023 Elsevier Ltd. All rights reserved. |
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Engineering::Mechanical engineering Phase-Field Model Brittle Fracture Li, Peidong Li, Weidong Fan, Haidong Wang, Qingyuan Zhou, Kun A phase-field framework for brittle fracture in quasi-crystals |
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Most of quasi-crystals are brittle at room temperature due to their specific cluster structures. Phase-field fracture models have demonstrated a powerful ability to predict brittle crack evolution. This paper develops a phase-field framework for modeling macroscopic brittle fracture in quasi-crystal solids. The kind of quasi-crystals is not preset in the phase-field model; therefore, this model is valid for almost all quasi-crystal solids. The phase-field model for the first time introduces a volume fraction parameter into the fracture toughness to reflect the effect of phason wall. Furthermore, a new numerical implementation approach of phase-field fracture models in COMSOL MULTIPHYSICS is presented. Several examples of 1D hexagonal and 2D decagonal quasi-crystals are performed. The developed model is validated against the reported results of benchmark problems. Further investigations indicate that the phason field peculiar to quasi-crystals has a certain influence on the crack paths in asymmetric fracture problems and on the force–displacement curves in both symmetric and asymmetric fracture problems. When the fracture toughness is fixed, the increase of the volume fraction parameter results in the decrease of the peak force and the increase of the failure displacement. When the influence of the phason field on the fracture toughness is considered, both the peak force and failure displacement would sharply decrease, which indicates that the degradation of fracture toughness due to the phason field plays a more important role than the phason elastic energy in the fracture of quasi-crystals. Furthermore, the relation between the phonon-phason energy transformation and the elastic constants of QCs has been qualitatively analyzed. The developed phase-field modeling framework provides a guidance for understanding the fracture mechanism of quasi-crystals and assessing the safety of quasi-crystal structures in engineering practice. |
author2 |
School of Mechanical and Aerospace Engineering |
author_facet |
School of Mechanical and Aerospace Engineering Li, Peidong Li, Weidong Fan, Haidong Wang, Qingyuan Zhou, Kun |
format |
Article |
author |
Li, Peidong Li, Weidong Fan, Haidong Wang, Qingyuan Zhou, Kun |
author_sort |
Li, Peidong |
title |
A phase-field framework for brittle fracture in quasi-crystals |
title_short |
A phase-field framework for brittle fracture in quasi-crystals |
title_full |
A phase-field framework for brittle fracture in quasi-crystals |
title_fullStr |
A phase-field framework for brittle fracture in quasi-crystals |
title_full_unstemmed |
A phase-field framework for brittle fracture in quasi-crystals |
title_sort |
phase-field framework for brittle fracture in quasi-crystals |
publishDate |
2023 |
url |
https://hdl.handle.net/10356/170879 |
_version_ |
1779171095935451136 |