Penny-Shaped Dugdale Crack in a Transverse Isotropic Medium

Li, Xiangyu; Yang, Dongmin; Chen, W. Q.; Kang, Guozheng

doi:10.1007/s10704-012-9720-4

Cited by 5 publications

(1 citation statement)

References 17 publications

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“…Li et al [8] discussed the problem of an infinite one-dimensional hexagonal quasicrystal medium weakened by a penny-shaped crack and subjected to a pair of antisymmetric and identical uniform heat fluxes. Reference [9] shows that the corresponding parameters have a significant influence on the size of the plastic zone and the distribution of normal stress. Li [10] points out that when the lips of crack with special configurations (pennyshaped, external circular, and half-infinite plane) are subjected to nonaxisymmetric external concentrated forces, the resulting phonon and phason elastic fields are expressed completely and exactly in terms of some elementary functions.…”

Section: Introductionmentioning

confidence: 99%

Antiplane Fracture Problem of Three Nanocracks Emanating from an Electrically Permeable Hexagonal Nanohole in One-Dimensional Hexagonal Piezoelectric Quasicrystals

Yang

Liu

2020

Mathematical Problems in Engineering

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Based on the Gurtin-Murdoch surface/interface model and complex potential theory, by constructing a new conformal mapping, the electrically permeable boundary condition with surface effect is established, and the antiplane fracture problem of three nanocracks emanating from a hexagonal nanohole in one-dimensional hexagonal piezoelectric quasicrystals with surface effect is studied. The exact solutions of the stress intensity factor of the phonon field and the phason field, the electric displacement intensity factor, and the energy release rate are obtained under the two electrically permeable and the electrically impermeable boundary conditions. The numerical examples show the influence of surface effect on the stress intensity factors of the phonon field and the phason field, the electric displacement intensity factor, and the energy release rate under the two boundary conditions. It can be seen that the surface effect leads to the coupling of the phonon field, phason field, and electric field, and with the decrease of cavity size, the influence of surface effect is more obvious.

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Section: Introductionmentioning

confidence: 99%