Abstract Based on the construction of conformal mapping, the antiplane problem of two collinear semi-infinite rapid propagation cracks in a symmetrical strip of one-dimensional hexagonal piezoelectric quasicrystals is analyzed by the complex variable method. Under the electrically impermeable and electrically permeable conditions, the analytic solutions of the dynamic stress intensity factors are obtained. When the crack velocity tends to zeros, the analytic solutions of the dynamic stress intensity factors can be degenerated to the existing solutions of the static solutions of correspondence. These solutions have a certain theoretical value for the engineering application of quasicrystal materials.
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Received: 31 December 2012
Published: 28 June 2014
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