Anisotropic, Hyperelastic Material

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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

  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)