Research on the Periodic Contact Problems of Three Dimensional Icosahedral Quasicrystal Elastic Half-Plane
Based on the plane elastic complex transformation method,the frictional and the adhesive periodic contact problems of a three-dimensional icosahedral quasicrystal elastic half-plane under the action of a periodic rigid indenter were studied.From the expressions of complex functions of stress and displacement components,two types of periodic contact problems were solved using the half-plane Hilbert kernel integral formula and Plemelj formula.For the periodic finite friction contact problem,the closed-form solutions of the contact stress of three different shapes of rigid indenters(flat,inclined and spherical base indenters)acting on the semi plane of a quasicrystal were obtained.For the problem of half plane periodic adhesive contact,the analytic expressions of contact stress were obtained in the case of the wedge-shaped periodic displacement on the contact boundary.Without considering the effect of phason field,the obtained results in the paper can degrade to the corresponding results of the periodic plane elastic contact problem of orthotropic materials.Numerical examples are used to illustrate the influence of quasicrystal elastic constants on the distribution and magnitude of contact stress.These conclusions can provide a theoretical basis for analyzing the indentation experiment results and properties of quasicrystal materials.
three dimensional icosahedral quasicrystalsperiodic contact problemcomplex variable methodHilbert kernel integral formula
万方数据
维普
