Dual-horizon peridynamics: A stable solution to varying horizons
Computational Physics
2017-03-20 v1
Abstract
In this paper, we present a dual-horizon peridynamics formulation which allows for simulations with dual-horizon with minimal spurious wave reflection. We prove the general dual property for dual-horizon peridynamics, based on which the balance of momentum and angular momentum in PD are naturally satisfied. We also analyze the crack pattern of random point distribution and the multiple materials issue in peridynamics. For selected benchmark problems, we show that DH-PD is less sensitive to the spatial than the original PD formulation.
Keywords
Cite
@article{arxiv.1703.05910,
title = {Dual-horizon peridynamics: A stable solution to varying horizons},
author = {Huilong Renc and Xiaoying Zhuangd and Timon Rabczuk},
journal= {arXiv preprint arXiv:1703.05910},
year = {2017}
}
Comments
21 pages