Interface traction stress of 3D dislocation loop in anisotropic bimaterial

Abstract

By applying discrete Fast Fourier Transformation (FFT), semi-analytical solutions are developed to calculate the interface elastic fields of anisotropic bimaterial systems with perfect bonding, dislocation-like, force-like and linear spring-like interface models. Interface elastic fields are the linear superimposition of bulk stress, free surface relaxation image stress and interface traction stress (ITS) fields. Interface image energy of perfect bonding bimaterials can be solved through area integral over the interface plane, including the contribution of several componential stress fields. Calculation examples on dislocation loops within Cu–Nb bimaterial are performed to demonstrate the efficiency of such approaches. Effects of Ku=[kiju] for the dislocation-like, Kt=[kijt] for the force-like and Ks=diag[KT,KN] for the linear spring-like imperfect interface models are investigated. Differences between perfect bonding and imperfect interface models, isotropic and anisotropic models are also studied. It is found that interface conditions and anisotropy have drastic effects on the interface elastic fields.