Abstract
We modified the model of Forrestal and Tzou (1997) for a case of an arbitrary impactor having a shape of a body of revolution with a plane bluntness and derived a formula for the depth of penetration (DOP) into semi-infinite concrete shield. The shape of the impactor that attains the maximum DOP for a given impact velocity is found through analytical investigation of a corresponding non-classical variational problem when the criterion of optimization is a function of integral functionals of the unknown solution. It is shown that the optimum shape is close to a blunt cone. The influence of the penetration model parameters on the optimum solution is studied.
| Original language | English |
|---|---|
| Pages (from-to) | 139-156 |
| Number of pages | 18 |
| Journal | Mechanics Based Design of Structures and Machines |
| Volume | 34 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jul 2006 |
Keywords
- Concrete
- Impact
- Modeling
- Optimization
- Penetration
ASJC Scopus subject areas
- Civil and Structural Engineering
- General Mathematics
- Automotive Engineering
- Aerospace Engineering
- Condensed Matter Physics
- Ocean Engineering
- Mechanics of Materials
- Mechanical Engineering