Anisotropic, Hyperelastic Material
Constitutive Law
This MPM material is an anisotropic hyperelastic material for dry woven fabrics in forming simulations. This material is only suitable for membrane particles defining a 2D fabric plane in 3D simulations. The fabric modeling and meaning of material properties are found in Refs [1] and [2].
Material Properties
These properties can be determined by various fabric tests.
| Property | Description | Units | Default |
|---|---|---|---|
| THETA0 | Initial orientation angle | degrees | 0 |
| Eyarn | Equivalent elastic modulus of the fabric | pressure units | 0 |
| nu | Equivalent elastic modulus of the fabric | none | 0 |
| T10 T11 T12 T13 T14 |
Traction interpolation coefficient in direction 1 | pressure units | 0 |
| T20 T21 T22 T23 T24 |
Traction interpolation coefficient in direction 2 | pressure units | 0 |
| SH0 SH1 SH2 SH3 SH4 SH5 SH6 SH7 SH8 SH9 SH10 SH11 SH12 |
Shearing Interpolation coefficient in the 1-2 plane | pressure units | 0 |
History Variables
This material uses four history variable:
- J or the determinant of the deformation and equal to V/V0.
- Theta 12 history
- lamdba 1 history
- lambda 2 history
Examples
References
- ↑ Y. Aimene, P. Boisse, F. Sidoroff,and b. Hageg, "A Hyperelastic Approach to Simulate Fibrous Composite Reinforcements at Finite Strains," Proceedings of the Conference Journees Nationales sure les Composites, Marseille, Juin 2007
- ↑ P. Boisse, N.Hamila, F. Helenon, Y. Aimene, and T. Mabrouki, "Draping of Textile Composite Reinforcements: Continuous and Discrete Approaches," Advanced Composites Letters, 16(4) (2019).