Interfacial elastic fields of a 3D dislocation loop in anisotropic bimaterials of finite thickness crystal films

Abstract

By combining the new superposition principle of linear elasticity used in discrete dislocation plasticity and the recently available solutions of the elastic displacement and stress fields due to a polygonal dislocation loop within an anisotropic homogeneous full-space, the anisotropic elastic fields induced by a 3D polygonal prismatic or a glide dislocation loop (PP(G)DL) in a bimaterial of finite thickness crystal films are obtained. The location and orientation of the PP(G)DLs with respect to the fixed reference coordinate system are arbitrary. Factors influencing the interface elastic fields, such as the size of the PP(G)DLs, the distance between the PP(G)DLs and the interface, the thickness of the layer containing the PP(G)DLs and lastly the mismatch of crystallographic orientation of the adjacent layers are investigated in detail. The present model has two distinct features of easy extensibility to planar or nonplanar multilayered polycrystalline models and the ease of numerical implementation for parallel programming.