4.7 Article

Dual-horizon peridynamics: A stable solution to varying horizons

Journal

Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.12.031

Keywords

Horizon variable; Random point distribution; Crack stability; Multiple materials; Material interfaces

Funding

  1. National Basic Research Program of China (973 Program) [2011CB013800]
  2. NSFC [51474157]
  3. Shanghai Municipal Commission of Science and Technology [16QA1404000]
  4. Ministry of Science and Technology of China [SLDRCE14-B-31]
  5. ERC-CoG (Computational Modeling and Design of Lithium- ion Batteries (COMBAT))

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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. (C) 2016 Elsevier B. V. All rights reserved.

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