An Asymptotic Formula for the Displacement Field in the Presence of Thin Elastic Inhomogeneities
Elena Beretta, Elisa Francini · SIAM Journal on Mathematical Analysis · 2006
We consider a plane isotropic homogeneous elastic body with thin elastic inhomogeneities in the form of small neighborhoods of simple smooth curves. We derive a rigorous asymptotic expansion of the boundary displacement field as the thickness of the neighborhoods goes to zero.