A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals

doi:10.1007/s10483-023-3027-8

Abstract

Abstract: By means of Muskhelishvili's method and the technique of generalized conformal mapping, the physical plane problems are transformed into regular mathematical problems in quasicrystals (QCs). The analytical solution to an elliptical orifice problem with asymmetric cracks in one-dimensional (1D) orthorhombic QCs is obtained. By using the Dugdale-Barenblatt model, the plastic simulation at the crack tip of the elliptical orifice with asymmetric cracks in 1D orthorhombic QCs is performed. Finally, the size of the atomic cohesive force zone is determined precisely, and the size of the atomic cohesive force zone around the crack tip of an elliptical orifice with a single crack or two symmetric cracks is obtained.

Key words: one-dimensional (1D) orthorhombic quasicrystal (QC), Dugdale-Barenblatt model, atomic cohesive force zone, crack

2010 MSC Number:

Jing ZHANG, Guanting LIU. A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1533-1546.

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