Abstract
Peridynamics is a nonlocal continuum mechanics theory where its governing equation has an integro-differential form. This paper specifically uses bond-based peridynamics. Typically, peridynamic problems are solved via numerical means, and analytical solutions are not as common. This paper analytically evaluates peristatics, the static version of peridynamics, for a finite one-dimensional rod as well as a special case for two dimensions. A numerical method is also implemented to confirm the analytical results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1639-1653 |
| Number of pages | 15 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 22 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 1 2017 |
Keywords
- 1D rod
- 2D plate
- Peridynamics
- analytical solutions
- nonlocal methods
- peristatics
ASJC Scopus subject areas
- Mathematics(all)
- Materials Science(all)
- Mechanics of Materials