Analytic solutions of a rapid propagation crack from regular n-polygon hole in 1D hexagonal piezoelectric quasicrystals
Purposes—To study the inverse plane problem of a single crack propagating rapidly in a 1D hexagonal quasicrystalline material with a regular n-polygon hole under piezoelectric effect.Meth-ods—Two boundary conditions of electro-non-permeable type and electropermeable type are studied by using the basic kinetic theory and Schwarz-Christoffel transformation technique.Results—Given are the analytical solutions of dynamic stress intensity factor and electric displacement intensity factor for crack Ⅲ propagated at velocity v.Conclusions—When v→0,the obtained results degenerate into the existing statics problems,which has certain guiding significance in the preparation and application of engineering construction.
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