Abstract
This research explores elastodynamics and wave propagation in fractal micropolar solid media. Such media incorporate a fractal geometry while being modelled constitutively by the Cosserat elasticity. The formulation of the balance laws which govern the mechanics of fractal micropolar solid media is presented. Four eigenvalue-type elastodynamic problems admitting closed-form analytical solutions are introduced and discussed. A numerical procedure to solve general initial boundary value wave propagation problems in three-dimensional micropolar bodies exhibiting geometric fractality is then applied. Verification of the numerical procedure is discussed using the analytical solutions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 117-134 |
| Number of pages | 18 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 2014 |
Keywords
- Elastodynamics
- Fractal solid
- Micropolar elasticity
ASJC Scopus subject areas
- Mathematics(all)
- Materials Science(all)
- Mechanics of Materials