Elasto-Dynamics of Quasicrystals

Wu, Li; Tang, Fan

doi:10.3390/cryst6110152

Cited by 4 publications

(2 citation statements)

References 70 publications

(91 reference statements)

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“…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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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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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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“…In their contribution, Wu Li and Tianyou Fan review the elastic properties of QCs, particularly focusing on the role of phason elastic degrees of freedom and the coupling between phonon and phason elementary excitations in the dynamic deformation process [45]. By adopting a systematic tutorial approach, a variety of fundamental problems such as screw dislocation motion and crack propagation are described and properly illustrated with suitable application examples including decagonal, dodecagonal, and icosahedral QCs.…”

Section: Intrinsic Properties Of Stable Quasicrystalsmentioning

confidence: 99%

Quo Vadis Quasicrystals?

Barber

2017

Crystals

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This Special Issue aims at gaining a deeper understanding on the relationship between the underlying structural order and the resulting physical properties in aperiodic systems, including quasicrystalline and related complex metallic alloys, photonic quasicrystals, and other structures exhibiting long-range aperiodic order. This Special Issue contains 12 papers which highlight recent developments in quasiperiodic crystal structure, photonic quasicrystals and related optical devices, the intrinsic electrical, thermal, and mechanical properties of icosahedral and decagonal metallic alloys, and the nature of chemical bonding in intermetallic compounds, from a multidisciplinary perspective. In light of the results presented in the contributions collected in this Special Issue, we can confidently expect that new insights into the interdisciplinary science of quasicrystals will be gained in the years to come, providing a sharper picture of their structures and related physical properties, and spurring further progress in practical issues related to both materials engineering science and nanotechnology.

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