Anisotropic, Hyperelastic Material

From OSUPDOCS
Jump to navigation Jump to search

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].

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:

  1. J or the determinant of the deformation and equal to V/V0.
  2. Theta 12 history
  3. l 1 history
  4. l 2 history

Examples

References

  1. 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).

Cite error: <ref> tag with name "Aimene" defined in <references> is not used in prior text.