A simple solution method to 3D integral nonlocal elasticity: Isotropic-BEM coupled with strong form local radial point interpolation

Nonlocal theories are of growing interest as they can address problems that lead to unphysical results in the framework of classical models. In this work, a solution procedure for three-dimensional integral nonlocal elastic solid is presented. The approach is based on the partition of the displacement field into complementary and particular parts. The complementary displacement is the solution of a Navier type equation and is obtained by the boundary element method, while the particular displacement is obtained using a local radial point interpolation method. The method is illustrated by comparing the responses to some simple loadings of a solid of finite extent with the original nonlocal model of Eringen and the enhanced model of Polizzotto.