Abstract
In this chapter two continuous models based on a geometric transformation approach and an energy approach, respectively, for analyzing mechanical behavior of woven fabric composites are proposed. In the geometric transformation approach, a convected coordinate system is taken to describe contravariant stresses and covariant strains. The transformations between the contravariant/covariant components and Cartesian components of the stress and strain tensors provide an approach for deriving a non-orthogonal constitutive relation. In the energy approach, a simple hyperelastic constitutive model is developed. The strain energy function is decomposed into tensile energy from fiber yarn stretches and shearing energy from yarn angular change.
Original language | English (US) |
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Title of host publication | Composite Reinforcements for Optimum Performance |
Publisher | Elsevier Ltd |
Pages | 529-564 |
Number of pages | 36 |
ISBN (Print) | 9781845699659 |
DOIs | |
State | Published - Sep 2011 |
Funding
The support from the National Science Foundation of China (Grant no. 50975236) is gratefully acknowledged.
Keywords
- Anisotropy
- Hyperelastic model
- Material constitutive law
- Non-orthogonal model
- Woven fabric
ASJC Scopus subject areas
- General Materials Science