Dual-horizon peridynamics: A stable solution to varying horizons

By Huilong Renc, Xiaoying Zhuangd, Timon Rabczuk. 2017

691 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7000ceabe8622d2810ee18bbc87e71aef9874fff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Xiaoying Zhuang
2. Shuwei Zhou
3. Timon Rabczuk
4. Xiaoping Zhou

In Electrical and Electronic Engineering

1. Shuwei Zhou
2. Xiaoying Zhuang
3. Timon Rabczuk
4. Yunteng Wang
5. M. Kou
6. Xiaoping Zhou

In Mechanics of Materials

1. Shuwei Zhou
2. Xiaoying Zhuang
3. Hehua Zhu
4. Timon Rabczuk
5. Xiaoping Zhou
6. Yunteng Wang
7. M. Kou
8. Stéphane P.A. Bordas

Citations in the corpus

• Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, methodology): “6 2D dynamic shear loading of Kalthoff experiment We next test our method for dynamic fracture by taking advantage of the Kalthoff-Winkler experiments [52] which has been studied by several other researchers [14, 53–59].”
• Phase field modelling of crack propagation, branching and coalescence in rocks (2018, methodology): “The cracking particles method (CPM) (Rabczuk and Belytschko 2004, 2007, Rabczuk et al. 2010), Peridynamics (Rabczuk and Ren 2017) and dual-horizon peridynamics (Ren et al. 2016, 2017) are also discrete crack approaches but they share the simplicity of continuous approaches to fracture as they also…”
• A coupled thermo-mechanical bond-based peridynamics for simulating thermal cracking in rocks (2018, background): “Ren et al. (2016, 2017) proposed the dual-horizon peridynamicmethod to study dynamic fracture behaviors in brittle solids.”