An accurate and efficient analytical method for 1D hexagonal quasicrystal coating based on Green's function

DOI10.1007/s00033-017-0842-4zbMath1380.82051OpenAlexW2744240024MaRDI QIDQ1684449

Yang Zhang, Peng-Fei Hou, Bing-Jie Chen

Publication date: 8 December 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0842-4

zbMATH Keywords

isotropic materialtransversely isotropic materialdistributed forces1D hexagonal quasicrystals3D Green's functioncoating contactphonon-phason coupling field

Mathematics Subject Classification ID

Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Statistical mechanics of solids (82D20) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) PDEs in connection with statistical mechanics (35Q82)

Related Items

Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating, Interfacial fracture analysis for a two-dimensional decagonal quasi-crystal coating layer structure, Fundamental solutions and analysis of an interfacial crack in a one-dimensional hexagonal quasicrystal bi-material

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermoelastic analysis of a two-dimensional decagonal quasicrystal with a conductive elliptic hole
• Spontaneous photon emission from a non-relativistic free charged particle in collapse models: a case study
• General solutions of three-dimensional problems for two-dimensional quasicrystals
• The general solution of one-dimensional hexagonal quasicrystal
• Wave propagation in layered composite laminates under periodic surface loads
• Guided waves in layered solids with interface zones
• Configurational entropy of codimension-one tilings and directed membranes
• Displacement function and simplifying of plane elasticity problems of two-dimensional quasicrystals with noncrystal rotational symmetry.
• The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials
• Three-dimensional Green's functions in anisotropic bimaterials
• Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals
• Thermo-elastic Green's functions for an infinite bi-material of one-dimensional hexagonal quasi-crystals
• Three-dimensional thermo-elastic general solutions of one-dimensional hexagonal quasi-crystal and fundamental solutions
• On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies
• Three-Dimensional Green’s Functions in Anisotropic Elastic Bimaterials With Imperfect Interfaces
• Fundamental thermo‐electro‐elastic solutions for 1D hexagonal QC
• Point Force Solution for an Infinite Transversely Isotropic Solid
• A theory of general solutions of 3D problems in 1D hexagonal quasicrystals
• Transmission of Elastic Waves through a Stratified Solid Medium