Abstract
Two methods of analysis of the internal instability of layered materials are discussed: the continuum approach and the piecewise-homogeneous medium model. Based on the results obtained within the scope of the model of a piecewise-homogeneous medium and the 3-D stability theory, the accuracy of a continuum theory is examined for incompressible non-linear materials undergoing large deformations. Two different loading conditions are compared: biaxial and uniaxial compression. The effect of the multi-axiality of loading on the accuracy of the continuum theory is determined for the particular model of hyperelastic layers described by the Treloar's potential (i.e. by a neo-Hookean type potential), which is a simplified version of the Mooney's elastic potential.
| Original language | English |
|---|---|
| Pages (from-to) | 439-453 |
| Number of pages | 15 |
| Journal | International Journal of Solids and Structures |
| Volume | 42 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jan 2005 |
Keywords
- Compression
- Continuum
- Homogenisation
- Hyperelastic materials
- Instability
- Large deformation
- Layered materials
- Microstructure
- Non-linear
ASJC Scopus subject areas
- Modelling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics