Coupling Approaches for Classical Linear Elasticity and Bond-Based Peridynamic Models

Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and accuracy nonlocal models. This paper studies continuous discrete formulations three existing for classical linear elasticity bond-based peridynamic models, namely 1) method that enforces matching displacements in an overlap region, 2) variant constraint on stresses instead, 3) considers variable horizon vicinity interfaces. The performance is compared series one-dimensional numerical examples involve cubic quartic manufactured solutions. Accuracy proposed methods measured terms difference between solution approach model, which can be viewed as modeling error. objective assess quality formulation this class force-based methods.