Crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal

Li, Peidong; Li, Xiangyu; Kang, Guozheng

doi:10.1016/j.mechrescom.2015.09.007

Cited by 12 publications

(2 citation statements)

References 32 publications

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“…Hence, the study of fracture behavior of QC is meaningful in practical applications. Many works on crack problems in QC has been addressed [2–11]. For example, Fan and Mai [3] discussed the elasticity theory, fracture mechanics, and some relevant thermal properties of quasi‐crystalline materials.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of a mode‐I crack in a 1D hexagonal quasicrystal based on the non‐local theory

Liu

2020

Z Angew Math Mech

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This paper studies the non‐local theory solution of a Mode‐I crack in a 1D hexagonal quasicrystal (QC) by using the generalized Almansi's theorem and the Schmidt method. Based on the Fourier transform, the boundary value problem is reduced to two pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. The dual integral equations are derived. Finally, the expression of the phonon stress field and the phason stress field at the crack tip are obtained. Numerical examples are provided to show the effects of the lattice parameter and the crack length on the phonon stress field and the phason stress field near the crack tip. Different from the classical solution, that the present solution exhibits no stress singularity at the crack tips in a 1D hexagonal QC.

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Section: Introductionmentioning

confidence: 99%

Stress analysis of a mode‐I crack in a 1D hexagonal quasicrystal based on the non‐local theory

Liu

2020

Z Angew Math Mech

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“…Piezoelectricity has been verified to be a vital physical property of QCs [16,17]. Owing to the quasi-periodic atomic arrangement of QCs, they are expected to be used as sensor in intelligent structures, thin films, coating surface of engines, thermal barrier coating, and coating surface of spacecraft's wings [18][19][20]. Due to the unique properties and potential applications, QCs have attracted much attention in a wide range of research fields, such as defect problems [19,20] and mechanical behavior analysis in the layered smart structure [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Yang

Gao

2019

Acta Phys. Pol. A

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This paper presents an exact solution for a functionally graded multilayered two-dimensional piezoelectric quasicrystal plate with simply supported boundary conditions. The material properties of the functionally graded plate are assumed to be exponentially distributed along the thickness direction. Based on the pseudo-Stroh formalism, an exact solution for a functionally graded plate is derived, and the exact solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical examples show the influences of functionally graded exponential factor, stacking sequence, and phonon-phason coupling coefficient on the plate. The obtained results should be useful for the analysis and design of the functionally graded two-dimensional piezoelectric quasicrystal plate.

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Thermal Fracture of Advanced Materials Based on Fourier Heat Conduction

Chen

Akbarzadeh

2019

Structural Integrity

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Crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal

Cited by 12 publications

References 32 publications

Stress analysis of a mode‐I crack in a 1D hexagonal quasicrystal based on the non‐local theory

Stress analysis of a mode‐I crack in a 1D hexagonal quasicrystal based on the non‐local theory

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Thermal Fracture of Advanced Materials Based on Fourier Heat Conduction

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