Study On Size Effect Of Microscopic Fields Of Nano Inhomogeneous Phase Under Antiplane Loads

With the rapid development of biotechnology,information technology and energy technology,the demand for new materials in all various fields of society is increasing.Due to its unique surface effect,volume effect and quantum size effect,nanomaterials have made amazing changes in the mechanical,electrical,magnetic and optical properties of materials.When the inhomogeneous phase(inclusions,holes,and cracks)in the material reaches the nanometer scale,the interfacial effect of non-uniform phase has a significant influence on the mechanical properties of the material.Therefore,it is of great scientific significance to study the analysis method of non-uniform phase and reveal the characteristics of the thin observation field.For the study of the numerical method of nanoscale heterogeneous phase,this paper uses the bar element simulation method as the theoretical basis,and uses the finite element software ANSYS to solve the problem of nano circular hole,nano elliptical hole and nano circular inclusion under the action of the antiplane shear loads.The relationship between the fine field distribution,the stress concentration factor and the size of the non-uniform phase is given,and the interference between the circular holes is studied as well.For the study of the analytical method of nanoscale heterogeneous phase,based on the Gurtin-Murdoch surface elasticity theory and the conformal transformation,this paper has analyzed the fracture behavior of the hole edge crack in the far field by using the basis of the elastic theory and the conformal transformation.The analytical solution of the stress field of this kind of nonuniform material is obtained.The closed solution of stress intensity factor is also obtained,and the size dependence of stress intensity factor at crack tip and the influence of relative dimension of circular hole on stress intensity factors are discussed.