Investigation of numerical accuracy in peridynamics for horizon

Abstract

Peridynamics has some advantage for fracture analysis. Generally, to reduce computational cost, fine mesh is employed around stress concentration region while coarse mesh is employed the external region in FEM. Very fine model is needed to analyze stress concentration problems in PD because general PD formulation is employed uniform horizon. To overcome the difficulties, dual-horizon peridyamics (DHPD) was proposed. DHPD can analyze problems using varying horizon. We investigated the DHPD affects numerical accuracy, then we propose the new modeling for reducing numerical oscillation.