Micromechanical Model for Self-Organized Impurity Nanorod Arrays in   Epitaxial YBCO Films
  A micromechanical model based on the theory of elasticity has been developed to study the configuration of self-assembled impurity nanostructures in high temperature superconducting YBCO films. With the calculated equilibrium strain and elastic energy of the impurity doped film, a phase diagram of lattice mismatches $vs.$ elastic constants of the dopant was obtained for the energetically-preferred orientation of impurity nanorods. The calculation of the nanorod orientation and the film lattice deformation has yielded an excellent agreement with experimental measurements. 
Jack J. Shi and Judy Z. Wu
cond-mat.mtrl-sci