Analysis of a mode-I crack in a one-dimensional orthorhombic quasicrystal strip. (March 2023)

• Record Type: Journal Article
• Authors: Hu, Keqiang; Yang, Weilin; Fu, Jiawei; Chen, Zengtao; Gao, Cun-Fa
• Is Part Of: Mathematics and mechanics of solids. Volume 28:Number 3(2023)
• Page Start: 635
• Page End: 652
• Publication Date: 2023-03
• Subjects: Mode-I crack -- one-dimensional orthorhombic quasicrystal material -- singular integral equations -- stress intensity factor -- energy release rate; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/10812865221091748
• Languages: English
• ISSNs: 1081-2865

Abstract

A mode-I crack in a one-dimensional (1D) orthorhombic quasicrystal (QC) strip under in-plane phonon and phason stress loading is considered. Fourier transforms are applied to reduce the mixed boundary value problem of the mode-I crack to solving a system of simultaneous singular integral equations. Asymptotic expressions of the phonon and phason stresses and displacement fields near the crack tips have been obtained in an explicit form. The crack-tip singularities of the mode-I crack have been investigated and the intensity factors of the stresses in the phonon and phason fields are derived explicitly. The stress intensity factors (SIFs) and the hoop stress intensity factors (HSIFs) have been determined to investigate the effect of the geometric size and the crack kinking phenomenon. The effect of the thickness ratio of the cracked strip on the SIFs and energy release rates has been investigated. When the thickness of the cracked strip becomes infinite large, the results obtained for the crack problem can be reduced to the analytic solution for a mode-I crack in an infinite 1D orthorhombic QC media.