We investigate the wave dispersion relations of an infinite elastic bar within the framework of linear bond-based peridynamics. This nonlocal integral-type model accounts for long-range interactions, which become significant at small scales and in cases of damage and fracture. Since a key element of this material model is the kernel function, we derive dispersion curves for several kernel choices. Notably, for non-singular kernels, we observe negative group velocities, indicating that peridynamics can describe materials with anomalous dispersion. By comparing one-dimensional (1D) peridynamics with the 1D nonlocal elasticity of Eringen’s type, we highlight similarities between the two models in terms of dispersion behavior.
Authors
- prof. dr hab. Victor Eremeev link open in new tab ,
- Dr. Konstantin Naumenko
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1016/j.ijengsci.2025.104256
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach
- Language
- angielski
- Publication year
- 2025
