Details
| Original language | English |
|---|---|
| Pages (from-to) | 762-782 |
| Number of pages | 21 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 318 |
| Publication status | Published - 7 Feb 2017 |
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
- Crack stability, Horizon variable, Material interfaces, Multiple materials, Random point distribution
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 318, 07.02.2017, p. 762-782.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dual-horizon peridynamics
T2 - A stable solution to varying horizons
AU - Ren, Huilong
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding information: The authors acknowledge the supports from the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157), Shanghai Municipal Commission of Science and Technology (16QA1404000), the Ministry of Science and Technology of China (SLDRCE14-B-31) and the ERC-CoG (Computational Modeling and Design of Lithium-ion Batteries (COMBAT)).
PY - 2017/2/7
Y1 - 2017/2/7
N2 - 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.
AB - 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.
KW - Crack stability
KW - Horizon variable
KW - Material interfaces
KW - Multiple materials
KW - Random point distribution
UR - http://www.scopus.com/inward/record.url?scp=85014483778&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.12.031
DO - 10.1016/j.cma.2016.12.031
M3 - Article
AN - SCOPUS:85014483778
VL - 318
SP - 762
EP - 782
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -