A new method for solving elasticity problems of some planar quasicrystals is presented.The set of partial differential equations for the phonon and phason displacement components is reduced to a single higher-order eq...A new method for solving elasticity problems of some planar quasicrystals is presented.The set of partial differential equations for the phonon and phason displacement components is reduced to a single higher-order equation by introducing a displacement function.A general solution formulation is suggested.As an example,the elastic field caused by a dislocation in planar quasicrystals of point groups 5 m,10,and 10mm is calculated.展开更多
基金Supported by the Doctorate Station Foundation of State Educational Commission of China。
文摘A new method for solving elasticity problems of some planar quasicrystals is presented.The set of partial differential equations for the phonon and phason displacement components is reduced to a single higher-order equation by introducing a displacement function.A general solution formulation is suggested.As an example,the elastic field caused by a dislocation in planar quasicrystals of point groups 5 m,10,and 10mm is calculated.