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 the...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.展开更多
This study presents the diffusive wave model,relevant dispersion law and the applications to the signal transduction of live cells,phason dynamics of quasicrystals,Brownian movement,electro-magnetic field and fluid dy...This study presents the diffusive wave model,relevant dispersion law and the applications to the signal transduction of live cells,phason dynamics of quasicrystals,Brownian movement,electro-magnetic field and fluid dynamics fluctuation,respectively.The common features of these diffusive waves are summarized,which present diffusion as well as wave behaviour,or exactly speaking,they present a duality of diffusion and wave or the duality of wave and diffusion.Furthermore,the general nature of the motion is discussed from the point of view of Landau elementary excitation of condensed matter,this may lead to a concept of generalized elementary excitation（or generalized quasiparticle） corresponding to the diffusive wave.展开更多
Based on the theory of Muskhelishvili, the general solutions for stress and strain of conjugate cracks in cubic quasicrystal are obtained, with which the stress intensity factors of cubic quasicrystal at crack tips an...Based on the theory of Muskhelishvili, the general solutions for stress and strain of conjugate cracks in cubic quasicrystal are obtained, with which the stress intensity factors of cubic quasicrystal at crack tips and the stress distribution functions of phonon and phason fields are given. The results show that though phason field is coupled with phonon field by constitutive equations, the stress intensity factors are not coupled with any other factors.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos 10672022 and 10372016)
文摘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.
基金Sponsored by the National Natural Science Foundation of China(10672022)
文摘This study presents the diffusive wave model,relevant dispersion law and the applications to the signal transduction of live cells,phason dynamics of quasicrystals,Brownian movement,electro-magnetic field and fluid dynamics fluctuation,respectively.The common features of these diffusive waves are summarized,which present diffusion as well as wave behaviour,or exactly speaking,they present a duality of diffusion and wave or the duality of wave and diffusion.Furthermore,the general nature of the motion is discussed from the point of view of Landau elementary excitation of condensed matter,this may lead to a concept of generalized elementary excitation（or generalized quasiparticle） corresponding to the diffusive wave.
基金Science Research Foundation of Shang-hai in China (No.2000SG31& 2004096)Shanghai Leading Academic Discipline Project (No.T0601)
文摘Based on the theory of Muskhelishvili, the general solutions for stress and strain of conjugate cracks in cubic quasicrystal are obtained, with which the stress intensity factors of cubic quasicrystal at crack tips and the stress distribution functions of phonon and phason fields are given. The results show that though phason field is coupled with phonon field by constitutive equations, the stress intensity factors are not coupled with any other factors.
