Abstract
We present a novel refinement approach in peridynamics (PD). The proposed approach takes advantage of the PD flexibility in choosing the shape of the horizon by introducing multiple domains (with no intersections) to the nodes of the refinement zone. We will show that no ghost forces are needed when changing the horizon sizes in both subdomains. The approach is applied to both bond-based and state-based peridynamics and verified for a simple wave propagation refinement problem illustrating the efficiency of the method.
Highlights
Peridynamics has initially been introduced by Silling [Silling (2000)]
In contrast to bondbased peri- dynamics (BB-PD), SB- PD allows for general constitutive models
PD has been implemented into open-source software such as LAMMPS [Parks, Seleson, Plimpton et al (2011)], which is a software for Molecular Dynamics (MD) simulations
Summary
Peridynamics has initially been introduced by Silling [Silling (2000)]. The initial bondbased peri- dynamics (BB-PD) has been extended later on to the so-called state-based peridynamics (SB-PD) approaches [Silling, Epton, Weckner et al (2007)]. The approaches presented in the work of Dipasquale et al [Dipasquale, Zaccariotto and Galvanetto (2014)] allow for variable horizon sizes but introduce so-called ghost forces which lead to artificial wave reflections between domains of different horizon sizes. Other contributions dealing with improving the computational efficiency of PD have been proposed, for instance, by Pasetto et al [Pasetto, Leng, Chen et al (2018)] or by Lindsay et al [Lindsay, Parks and Prakash (2016)]. In this manuscript, we present another simple alternative to deal with multiple horizon sizes.
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