Elastic-plastic Analysis of One-dimensional Hexagonal Piezoelectric Quasicrystal Strip with Single Crack Perpendicular to Strip Boundary
A plastic analysis is carried out on a one-dimensional(1D)hexagonal piezoelectric quasicrystal(PQC)strip with a single crack.The problem is transformed into three dual integral equations by Fourier transform under specific boundary conditions and then further into a Fredholm integral equation of the second kind.Expressions are derived for lengths of plastic zones of all fields,stress intensity factors,and the energy release rate.The length of the plastic zone is presented graphically,and it is found that the existence of the phason field influences the length of the plastic zone.
1D hexagonal PQCFourier transformFredholm integral equationplastic zone