Dual‐horizon peridynamics
Bauhaus-Universität Weimar · Leibniz University Hannover · +2 more institutions
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…
Citation impact
- FWCI
- 66.65
- Percentile
- 100%
- References
- 56
Authors
4Topics & keywords
- Peridynamics
- Simple (philosophy)
- Horizon
- Computer science
- Cauchy stress tensor
- Consistency (knowledge bases)
- Dual (grammatical number)
- Mathematical optimization