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The dynamic response of an icosahedral Al--Pd--Mn quasicrystal with a
Griffith crack to impact loading is investigated in this paper. The
elastohydrodynamic model for the wave propagation and diffusion
together with their interaction is adopted. Numerical results of
stress, displacement and dynamic stress intensity factors are
obtained by using the finite difference method. The effects of wave
propagation, diffusion and phonon--phason coupling on the
quasicrystal in the dynamic process are discussed in detail, where
the phason dynamics is explored particularly. 相似文献
2.
Based on the displacement potential functions, the elastic analysis
of a mode II crack in an icosahedral quasicrystal is performed by
using the Fourier transform and dual integral equation theory. By the
solution, the analytic expressions for the displacement field and
stress field are obtained. The asymptotic behaviours of the phonon
and phason stress fields around the crack tip indicate that the
stresses near the crack tip exhibit a square root singularity. The
most important physical quantities of fracture theory, crack stress
intensity factor and energy release rate, are evaluated in an
explicit version. 相似文献
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