3D XFEM modelling of imperfect interfaces

In this paper, recent contributions to the modelling of coated inclusions by means of an eXtended Finite Element Method are presented. The matrix particle interface is modelled as a finite thickness, imperfect interface. Two approaches are considered: a variational approach inspired to Suquet’s work on asymptotic analysis of thin layers, and an approach based on Eshelby’s equivalent eigenstrain approach. The former approach is asymptotically consistent with imperfect interfaces, while the latter approach holds for thin and thick coating layers, whose behavior can be assimilated to that of imperfect interfaces.