International Journal for Numerical Methods in Engineering· 2016Q1
Dual‐horizon peridynamics
- 714citations
- Q1SCImago
- 2016year
Short summary
A new dual-horizon peridynamics (DH-PD) formulation precisely handles varying particle interaction sizes, eliminating the 'ghost force' problem without needing approximations like 'partial stress' or 'slice' techniques.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces a dual-horizon peridynamics (DH-PD) formulation to manage varying particle interaction sizes.
- Completely eliminates the 'ghost force' issue inherent in traditional peridynamics.
- Ensures exact conservation of linear and angular momentum without approximations.
- Allows for h-adaptivity, reducing computational cost and enabling easier integration into existing codes.
AI-generated from the title and abstract; the full text is not read.
Abstract
Summary In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally includes varying horizon sizes and completely solves the ‘ghost force’ issue. Therefore, the concept of dual horizon is introduced to consider the unbalanced interactions between the particles with different horizon sizes. The present formulation fulfills both the balances of linear momentum and angular momentum exactly. Neither the ‘partial stress tensor’ nor the ‘slice’ technique is needed to ameliorate the ghost force issue. We will show that the traditional peridynamics can be derived as a special case of the present DH‐PD. All three peridynamic formulations, namely, bond‐based, ordinary state‐based, and non‐ordinary state‐based peridynamics, can be implemented within the DH‐PD framework. Our DH‐PD formulation allows for h ‐adaptivity and can be implemented in any existing peridynamics code with minimal changes. A simple adaptive refinement procedure is proposed, reducing the computational cost. Both two‐dimensional and three‐dimensional examples including the Kalthoff–Winkler experiment and plate with branching cracks are tested to demonstrate the capability of the method. Copyright © 2016 John Wiley & Sons, Ltd.
The authors' abstract, as published at the source. International Journal for Numerical Methods in Engineering, 2016 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Mechanics of Materials
Mechanics of MaterialsEngineering