Interfacial elastic fields of a 3D polygonal prismatic dislocation loop in anisotropic bimaterials of spherical shells

Abstract

By combining the new superposition principle of linear elasticity used in discrete dislocation plasticity and the recently available solution 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 dislocation loop (PPDL) in bimaterials of spherical shells are obtained. The location and orientation of the PPDLs with respect to the fixed reference coordinate system are arbitrary. Factors influencing the interfacial elastic fields, such as the size of the PPDLs, the thickness of the inner-layer and lastly the mismatch of crystallographic orientations 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.