On dynamic plane elasticity problems of 2D quasicrystals

DOI10.1016/j.physleta.2009.03.065zbMath1229.74017OpenAlexW1984315530MaRDI QIDQ653124

Ümit Akıncı, Hakan K. Akmaz

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.065

zbMATH Keywords

Green's function2D quasicrystalsdynamic plane elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Crystalline structure (74E15) Linear ordinary differential equations and systems (34A30) Green's functions for ordinary differential equations (34B27) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (5)

Interface crack behaviors disturbed by Love waves in a 1D hexagonal quasicrystal coating-substrate structure ⋮ On three-dimensional elastodynamic problems of one-dimensional quasicrystals ⋮ Three dimensional elastodynamics of 2D quasicrystals: the derivation of the time-dependent fundamental solution ⋮ Equations of anisotropic elastodynamics in 3D quasicrystals as a symmetric hyperbolic system: deriving the time-dependent fundamental solutions ⋮ A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals

Cites Work

• The final governing equation and fundamental solution of plane elasticity of icosahedral quasicrystals
• The general solution of one-dimensional hexagonal quasicrystal
• Displacement function and simplifying of plane elasticity problems of two-dimensional quasicrystals with noncrystal rotational symmetry.
• On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies
• Constructing Green's function for the time-dependent Maxwell system in anisotropic dielectrics

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