Abstract
This paper first describes a finite element method for the large deflection analysis of axisymmetric shells and plates on a nonlinear tensionless elastic foundation. Through the use of discrete data points, any form of nonlinear elastic foundation behaviour can be easily modelled. The analysis is then validated by comparison with existing results for circular plates and beams as the only existing results for shells on tensionless foundations are found to be in error. Following this verification, the analysis is applied to investigate the behaviour of shallow spherical shells subject to a central concentrated load on tensionless linear elastic foundations. A number of insightful conclusions regarding the behaviour of such structure-foundation systems are drawn. The numerical results for shells are believed to be the first correct results, which may be useful in benchmarking results from other sources in the future.
| Original language | English |
|---|---|
| Pages (from-to) | 5277-5300 |
| Number of pages | 24 |
| Journal | International Journal of Solids and Structures |
| Volume | 36 |
| Issue number | 34 |
| DOIs | |
| Publication status | Published - 15 Jul 1999 |
ASJC Scopus subject areas
- Modelling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics