A Phase-Field Model for Interfacial Fracture in 2D Quasicrystal Bimaterials

GUAN Gaofei; LI Tong; NIE Xueyang; ZHANG Yingrui; XU Xinsheng; SUN Jiabin; ZHOU Zhenhuan

doi:10.21656/1000-0887.450203

Volume 45 Issue 11

Nov. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(11): 1440-1454

GUAN Gaofei, LI Tong, NIE Xueyang, ZHANG Yingrui, XU Xinsheng, SUN Jiabin, ZHOU Zhenhuan. A Phase-Field Model for Interfacial Fracture in 2D Quasicrystal Bimaterials[J]. Applied Mathematics and Mechanics, 2024, 45(11): 1440-1454. doi: 10.21656/1000-0887.450203

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A Phase-Field Model for Interfacial Fracture in 2D Quasicrystal Bimaterials

doi: 10.21656/1000-0887.450203

1.
State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, School of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China
2.
School of Chemical Engineering, Ocean and Life Sciences, Dalian University of Technology, Panjin, Liaoning 124221, P.R.China

Received Date: 2024-07-11
Rev Recd Date: 2024-08-16
Publish Date: 2024-11-01

Abstract

Abstract

A phase-field model for the interfacial fracture of 2D decagonal quasicrystal (QC) bimaterials was proposed to predict the crack propagation path. Firstly, the discrete interface was transformed into a smeared interface through introduction of an interface phased field, and therefore the interface phase field governing equations and corresponding boundary conditions were obtained. The continuous distribution of the interface phased field was obtained with the finite element method, and in turn the singularity of material properties at the interface was eliminated. Subsequently, the governing equations for 2D QC bimaterials were obtained based on the Francfort-Marigo variational principle, and solved with the staggered solution scheme. In numerical examples, the present results were compared with existing references and excellent agreements were observed. In addition, the effects of the phason field on the crack propagation path were investigated, with the evolution of multiple cracks explored.
- 2D quasicrystal bimaterial,
- interfacial fracture,
- phase-field model,
- crack propagation path

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References(35)

References

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