Analysis of arbitrarily shaped planar cracks in two-dimensional hexagonal quasicrystals with thermal effects. Part II: Numerical solutions

•2D hexagonal quasicrystals planar crack with thermal effects analyzed numerically.•Green's functions are derived for uniform triangular and rectangular elements.•The EDD-BEM is proposed for planar crack analysis in infinite 2D hexagonal QC body.•Elliptical crack with different loadings are inv...

Full description

Saved in:
Bibliographic Details
Published in:Applied Mathematical Modelling 2018-05, Vol.57, p.565-582
Main Authors: Li, Yuan, Zhao, MingHao, Fan, CuiYing, Xu, GuangTao
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary element method
Crystals
Discontinuity
Extended displacement discontinuity
Green's function
Green's functions
Heat transfer
Numerical analysis
Planar crack
Quasicrystals
Studies
Temperature effects
Thermal analysis
Triangular and rectangular elements
Two-dimensional hexagonal quasicrystal
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•2D hexagonal quasicrystals planar crack with thermal effects analyzed numerically.•Green's functions are derived for uniform triangular and rectangular elements.•The EDD-BEM is proposed for planar crack analysis in infinite 2D hexagonal QC body.•Elliptical crack with different loadings are investigated and presented graphically. The extended displacement discontinuity (EDD) boundary element method is developed to analyze an arbitrarily shaped planar crack in two-dimensional (2D) hexagonal quasicrystals (QCs) with thermal effects. The EDDs include the phonon and phason displacement discontinuities and the temperature discontinuity on the crack face. Green's functions for uniformly distributed EDDs over triangular and rectangular elements for 2D hexagonal QCs are derived. Employing the proposed EDD boundary element method, a rectangular crack is analyzed to verify the Green's functions by discretizing the crack with rectangular and triangular elements. Furthermore, the elliptical crack problem for 2D hexagonal QCs is investigated. Normal, tangential, and thermal loads are applied on the crack face, and the numerical results are presented graphically.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2017.08.031