An algorithm for imposing local boundary conditions in peridynamic models on arbitrary domains

• DOI: 10.31224/osf.io/7z8qr
• Publication Date: 2020-10-08T12:56:39Z
• Authors: Jiangming Zhao; Siavash Jafarzadeh; Ziguang Chen; Florin Bobaru
• Keywords: Peridynamics

Imposing local boundary conditions in nonlocal/peridynamic models is often desired/needed. Fictitious nodes methods (FNMs) are commonly used techniques for this purpose but they limited, general, to domains with simple geometry. FNMs also mitigate the well-known peridynamic surface/skin effect at boundaries/surfaces. Here, we introduce a general algorithm that automatically locates mirror fictitious mirror-based FNM, without requiring an explicit mathematical description of boundary. The based on computing nonlocal gradient, nodes, determine “generalized” normal direction domain arbitrary We test several diffusion problems or singularities, exist corresponding models, along boundaries. find FNM works best agreeing classical solutions. then new complex geometries, including one intersecting cracks. and should work any type model, those moving boundaries growing cracks, which enforcement local-type desired. Since high accuracy critical near shape (including corners, notches, crack tips) variety problems, has potential impact.