Vol.121, No.2, 2019, pp.493-500, doi:10.32604/cmes.2019.07942
OPEN ACCESS
ARTICLE
The Multi-Horizon Peridynamics
  • Ali Jenabidehkordi1,2, Timon Rabczuk1,2,*
1 Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh, Vietnam.
2 Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh, Vietnam.
* Corresponding Author: Timon Rabczuk. Email: timon.rabczuk@tdtu.edu.vn.
(This article belongs to this Special Issue: Recent Developments on Peridynamics)
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.
Keywords
Peridynamics, variable horizon size, multi-horizon, ghost force, wave reflection, refinement.
Cite This Article
Jenabidehkordi, A., Rabczuk, T. (2019). The Multi-Horizon Peridynamics. CMES-Computer Modeling in Engineering & Sciences, 121(2), 493–500.
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