Simulation of crack growth under mixed‐mode loading in 1D piezoelectric quasicrystals

Abstract

Lacking translational symmetry in particular directions, quasicrystals (QC) are a new class of materials besides crystals and amorphous solids, where 1D means the atomic arrangement is quasiperiodic in one direction. Since the very first discovery in 1982, QCs have been implemented in many fields due to their peculiar properties. This work adopts the generalized linear elastic framework of fracture theory in quasicrystals and develops numerical tools to compute fracture quantities and crack growth paths. Under the intrinsic mixed-mode loading, crack growth in several specimens is simulated and the influences of the phonon-phason coupling effect as well as the electric field are investigated.