04 February, 2013
In this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique.
Non-local elasticity; Coupling; Peridynamics; Long-range forces; Multi-scale; Anisotropy; Morphing