An Asymptotic Expansion for Perturbations in the Displacement Field due   to the Presence of Thin Interfaces
  We derive an asymptotic expansion for two-dimensional displacement field associated to thin elastic inhomogeneities having no uniform thickness. Our derivation is rigorous and based on layer potential techniques. We extend these techniques to determine a relationship between traction-displacement measurements and the shape of the object. 
Jihene Lagha and Habib Zribi
math.AP