Circular disclination loops in nonlocal elasticity

Solutions for problems of circular twist and wedge disclination loops in an in®nitely extended linear isotropic nonlocal elastic medium are obtained assuming an appropriate nonlocal modulus. The equilibrium equation is satis®ed by introducing the KroÈ nerʹs stress function tensor. The Laplace and Hankel transforms are used to obtain the stress ®elds and the stored elastic energies. The oscillatory integrals containing Bessel functions are transformed into integrands which decay exponentially, thus producing a solution more amenable to numerical quadrature. It is found that maximum stresses are reached at some distance from the defect line. The obtained solutions lead to ®nite values of stresses at this line and reduce to the classical ones in the long wave-length limit