Shielding effect of screw dislocations near the circular orifice in one-dimensional hexagonal piezoelectric quasicrystals

Abstract

This paper investigates the shielding effect of screw dislocations near the circular orifice in one-dimensional (1D) hexagonal piezoelectric quasicrystals (QCs) using the complex variable function method. The complex potential function for the problem is derived through conformal mapping and the Cauchy’s integral formula, providing analytical solutions for the stress field. Two case studies reveal the influence of dislocation position and quantity on the shielding effect. The J-integral is employed to evaluate the driving force exerted by the orifice on the screw dislocation, predicting the formation of dislocation-free zones due to shielding. The impact of angle and distance on the driving force components is analyzed, demonstrating periodic fluctuations and revealing both attractive and repulsive effects. This research framework provides a theoretical foundation for addressing fracture problems involving interactions between dislocations and other defects in 1D hexagonal piezoelectric QCs.