Statics And Dynamics Problems Of Defects In One-dimensional Hexagonal Piezoelectric Quasicrystals

Since the discovery of quasicrystals, it is a research hotspot of scientific workers. Because of the special nature of the quasictystal structure, compared with the traditional crystal materials, which exhibit a out of the ordinary physical and chemical properties, and the peculiar force, electricity, heat, magnetic properties. Research on such issues will provide reliable theoretical value for the engineering materials preparation and application.At present, study on defects of quasicrystal material has been achieved some results. But about research on the functional aspects of the quasicrystalline materials is very little, especially the research on quasicrystals piezoelectric properties. Therefore, in this paper, by using the complex variable function method, with the help of conformal mapping method, the anti-plane problem of static and dynamics of defects of impermeable and permeable under two kinds of boundary conditions are studied in point group for the6mm of one-dimensional hexagonal piezoelectric quasicrystals.(1) For the static problem of defects. Ten kingds of defects in the statics problem has been studied in one-dimensional hexagonal piezoelectric quasicrystals, the static stress and electric field intensity factor analytic solution is obtained. Under certain conditions, when the quasicrystal degradation for crystal materials, the results are the same with the existing results in the literature.(2) For the dynamic problem of defects. On the basis of the statics, further research seven kinds of defect dynamics problems in one-dimensional hexagonal piezoelectric quasicrystals. the dynamic stress and electric field intensity factor analytic solution is obtained. When the speed of v tends to zero, these solutions can be reduced to the solution of static problem.