Dynamic Crack Propagation in Five-Fold Symmetry Quasicrystals

Yin, Zhihua; Tang, Fan; Zhu, Aiyu

doi:10.1142/s0217984909019673

Cited by 2 publications

(4 citation statements)

References 9 publications

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“…Finally, the nodal phonon/phason displacements and the phase field variables can be calculated by Equations ( 33) and (34), respectively.…”

Section: Finite Element Implementationmentioning

confidence: 99%

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A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks

Yang

et al. 2023

Materials

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Quasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number of remarkable specific properties. However, QCs are usually brittle, and crack propagation inevitably occurs in such materials. Therefore, it is of great significance to study the crack growth behaviors in QCs. In this work, the crack propagation of two-dimensional (2D) decagonal QCs is investigated by a fracture phase field method. In this method, a phase field variable is introduced to evaluate the damage of QCs near the crack. Thus, the crack topology is described by the phase field variable and its gradient. In this manner, it is unnecessary to track the crack tip, and therefore remeshing is avoided during the crack propagation. In the numerical examples, the crack propagation paths of 2D QCs are simulated by the proposed method, and the effects of the phason field on the crack growth behaviors of QCs are studied in detail. Furthermore, the interaction of the double cracks in QCs is also discussed.

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“…Finally, the nodal phonon/phason displacements and the phase field variables can be calculated by Equations ( 33) and (34), respectively.…”

Section: Finite Element Implementationmentioning

confidence: 99%

“…Therefore, Wang and Ricoeur [ 30 ] adopted the finite element method (FEM) to simulate the crack growth in 1D QCs and predicted the crack pattern for different boundary conditions. Fan et al [ 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ] investigated crack propagation based on the elastodynamic/hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks

Yang

et al. 2023

Materials

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“…Wang et al [27] obtained approximate analytical solutions of dislocation dynamics in 3D icosahedral QCs. Yin et al [28] studied the problem of crack initiation and rapid propagation of quintuple symmetric QCs. Wang and Schiavone [29] presented the stroh formalism for 2D subsonic steadystate motion of anisotropic QCs.…”

Section: Introductionmentioning

confidence: 99%

“…Yin et al. [28] studied the problem of crack initiation and rapid propagation of quintuple symmetric QCs. Wang and Schiavone [29] presented the stroh formalism for 2D subsonic steady‐state motion of anisotropic QCs.…”

Section: Introductionmentioning

confidence: 99%

Scattering of SH wave by a crack in a functionally graded one dimensional hexagonal piezoelectric quasicrystals

et al. 2022

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In this paper, the dynamic interaction between SH wave and a crack in functionally graded one‐dimensional hexagonal piezoelectric quasicrystals (PQCs) is studied by using integral transform technique. To make the analysis executable, the material properties are assumed to vary partially in the direction perpendicular to the crack face following an exponential function. The problem was transformed through Fourier transform into three pairs of dual integral equations, which are solved numerically by the Copson method. The explicit expressions of phonon field, phason field and electric field on crack surface are determined. The dynamic field intensity factors of crack tip are given and some special cases are discussed. Numerical examples are then conducted to reveal the influences of amplitude, incident angle and wave number of SH wave and crack length, gradient parameter on the normalized dynamic stress intensity factors (DSIFs). The results of this paper lay a theoretical foundation for the design and nondestructive testing of QCs structures.

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Dynamic Crack Propagation in Five-Fold Symmetry Quasicrystals

Cited by 2 publications

References 9 publications

A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks

A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks

Scattering of SH wave by a crack in a functionally graded one dimensional hexagonal piezoelectric quasicrystals

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