Effective Mechanical Properties Of One-dimensional Hexagonal Quasicrystal Nanocomposites With Imperfect Interfaces

Due to the particularity of quasiperiodic structures,quasicrystalline materials have many excellent properties,and have broad application prospects in engineering practice,such as surface coating materials and reinforcement in composite materials.However,quasicrystal materials exhibit brittleness at room temperature and are prone to defects such as pores,inclusions and cracks,which seriously affect the mechanical properties of materials.This paper studies the anti-plane shear problem of one-dimensional hexagonal quasicrystal composites with imperfect interfaces at micro-nano scale,and provides an accurate description of their fracture mechanical behavior.This provides a theoretical basis for the development and design of high-quality one-dimensional hexagonal quasicrystal nanocomposites,as well as for the analysis of mechanical properties of one-dimensional hexagonal quasicrystal composites at micro-nano scale.Firstly,based on the spring interface model,a one-dimensional hexagonal quasicrystal reinforced classical inclusion composite model was established.Using the complex function method and the generalized self-consistent method,the influence of imperfect interfaces on the effective mechanical properties of the composite was studied.Analytical solutions of the stress and strain in the phonon and phase fields in inclusions,coatings and substrates were obtained using the complex potential method.Further,the generalized self-consistent method was used to predict the effective mechanical properties of one-dimensional hexagonal quasicrystal reinforced nanocomposites with imperfect interfaces under anti plane mechanical loading.Through numerical examples,the influence of imperfect interface parameters on the effective mechanical properties of one-dimensional hexagonal quasicrystal reinforced nanocomposites was analyzed.The results show that the existence of imperfect interfaces can reduce the effective elastic modulus of one-dimensional hexagonal quasicrystal reinforced composites,and the influence of imperfect interfaces on the effective elastic modulus of materials gradually decreases as the size of material inclusions increases.Secondly,based on the Gurtin-Murdoch surface/interface model,the anti-plane shear problem of rare earth quasicrystal nanocoated circular inclusion reinforced composites with imperfect interfaces was studied.Analytical solutions of the stress and strain of the phonon and phase fields in the inclusions,coatings and substrates were obtained using the complex potential method,The generalized self-consistent method is further used to predict the effective mechanical properties of rare earth quasicrystal reinforced nanocomposites with imperfect interface and surface interface effects under anti plane mechanical loading.Through numerical examples,the effects of imperfect interface parameters and surface/interface effects on the effective mechanical properties of rare earth quasicrystal reinforced nanocomposites were analyzed.Research has shown that when the size of inclusions and coatings is very small,imperfect interfaces can reduce the effective mechanical properties of quasicrystal reinforced nanocomposites,while surface/interface effects can improve the effective mechanical properties of composites.Therefore,adjusting the inclusion radius,coating thickness and imperfect interface material parameters can effectively improve the effective mechanical properties of quasicrystal reinforced nanocomposites.Finally,based on the spring layer interface model and the Gurtin-Murdoch surface/interface model,the anti-plane problem of nano elliptical inclusion composites with imperfect interfaces was studied by establishing an elliptical inclusion model for rare earth quasicrystal reinforced nanocomposites.Using the complex variable function method and conformal mapping technique,accurate solutions of the elastic field in the inclusion and matrix of nanocomposites were obtained.Furthermore,the generalized self-consistent method is used to accurately predict the effective elastic modulus of composite materials with nano elliptical inclusions with imperfect interfaces.Through numerical examples,the influence of interface effects,interface defect parameters,inclusion size,aspect ratio and volume fraction on the effective elastic modulus of nanocomposites were analyzed.The results indicate that the surface interface effect can increase the effective elastic modulus of composite materials,while the ideal interface can lead to a decrease in the effective elastic modulus of composite materials.Adjusting the long half axis,aspect ratio and volume fraction of inclusions can effectively increase the elastic modulus.