Surface effects on a mode-III reinforced nano-elliptical hole embedded in one-dimensional hexagonal piezoelectric quasicrystals

DOI10.1007/s10483-021-2721-5zbMath1479.74041OpenAlexW3162416949MaRDI QIDQ825364

Zhina Zhao, Jun Hong Guo

Publication date: 17 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-021-2721-5

zbMATH Keywords

complex variable methodexact solutionconformal mappingstress intensity factorcrackpiezoelectric quasicrystalreinforcement layer

Mathematics Subject Classification ID

Brittle fracture (74R10) Crystalline structure (74E15) Stress concentrations, singularities in solid mechanics (74G70) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15) Explicit solutions of equilibrium problems in solid mechanics (74G05) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items

Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory ⋮ Lamb waves propagating in functionally graded 1-D quasi-crystal couple stress nanoplates ⋮ Free vibration and bending of one-dimensional quasicrystal layered composite beams by using the state space and differential quadrature approach ⋮ Dynamic response of a piezoelectric quasicrystal rod with the generalized thermoelasticity ⋮ Fracture mechanics of an arbitrary position crack emanating from a nano-hole in one-dimensional hexagonal piezoelectric quasicrystals

Cites Work

• Three-dimensional fundamental solutions for one-dimensional hexagonal quasicrystal with piezoelectric effect
• A continuum theory of elastic material surfaces
• Surface stress in solids
• Theoretical investigation of phenomena caused by heterogeneous surface tension in solids
• One-dimensional piezoelectric quasicrystals with an embedded moving, non-uniformly loaded shear crack
• Spectral properties of one dimensional quasi-crystals
• Elastic field near the tip of an anticrack in a decagonal quasicrystalline material
• An analytical approach to the analysis of an electrically permeable interface crack in a 1D piezoelectric quasicrystal
• Interface crack between dissimilar one-dimensional hexagonal quasicrystals with piezoelectric effect
• Surface effects on an electrically permeable elliptical nano-hole or nano-crack in piezoelectric materials under anti-plane shear
• A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals
• Analysis solution method for 3D planar crack problems of two-dimensional hexagonal quasicrystals with thermal effects
• Eshelby formalism for nano-inhomogeneities