Equations of anisotropic elastodynamics in 3D quasicrystals as a symmetric hyperbolic system: deriving the time-dependent fundamental solutions

DOI10.1016/j.apm.2013.03.039zbMath1438.74032OpenAlexW2022522245MaRDI QIDQ1791486

H. Çerdik Yaslan

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.039

zbMATH Keywords

simulationfundamental solutionsymmetric hyperbolic systemicosahedral quasicrystalanisotropic dynamic elasticity (3D)three-dimensional quasicrystals

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Linear elasticity with initial stresses (74B10) Crystalline structure (74E15) Statistical mechanics of crystals (82D25)

Related Items (6)

On three-dimensional elastodynamic problems of one-dimensional quasicrystals ⋮ On symplectic analysis for the plane elasticity problem of quasicrystals with point group 12 mm ⋮ Derivation of a solution of dynamic equations of motion for quasicrystals ⋮ Symplectic approach for the plane elasticity problem of quasicrystals with point group 10 mm ⋮ Local radial basis function collocation method for bending analyses of quasicrystal plates ⋮ Anisotropic transient thermoelasticity analysis in a two-dimensional decagonal quasicrystal using meshless local Petrov-Galerkin (MLPG) method

Cites Work

• Three dimensional elastodynamics of 2D quasicrystals: the derivation of the time-dependent fundamental solution
• On dynamic plane elasticity problems of 2D quasicrystals
• The standard description of quasicrystal linear elasticity may produce non-physical results
• The final governing equation and fundamental solution of plane elasticity of icosahedral quasicrystals
• Three-dimensional elastic problems of three-dimensional quasicrystals
• Governing equations and general solutions of plane elasticity of cubic quasicrystals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Equations of anisotropic elastodynamics in 3D quasicrystals as a symmetric hyperbolic system: deriving the time-dependent fundamental solutions