Difference between revisions of "Anisotropic, Hyperelastic Material"

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== Constitutive Law ==
== Constitutive Law ==


This [[Material Models|MPM material]] is an anisotropic hyperelastic material for dry woven fabrics in forming simulations. This material is only suitable for [[MPM Region and Hole Commands#Membrane Particles|membrane particles]] defining a 2D fabric plane in 3D simulations. The fabric modeling and meaning of material properties are found in Refs <ref name="Boisse"/>.
This [[Material Models|MPM material]] is an anisotropic hyperelastic material for dry woven fabrics in forming simulations. This material is only suitable for [[MPM Region and Hole Commands#Membrane Particles|membrane particles]] defining a 2D fabric plane in 3D simulations. The fabric modeling and meaning of material properties are found in Refs <ref name="Aimene"/> and <ref name="Boisse"/>.


== Material Properties ==
== Material Properties ==
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# J or the determinant of the deformation and equal to V/V<sub>0</sub>.
# J or the determinant of the deformation and equal to V/V<sub>0</sub>.
# Theta 12 history
# Theta 12 history
# l 1 history
# lamdba 1 history
# l 2 history
# lambda 2 history


== Examples ==
== Examples ==
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<references>
<references>
<ref name="Boisse"/>P. Boisse, N.Hamila, F. Helenon, Y. Aimene, and T. Mabrouki, "Draping of Textile Composite Reinforcements: Continuous and Discrete Approaches," <i>Advanced Composites Letters</i>, '''16'''(4) (2019).</ref>
<ref name="Aimene">Y. Aimene, P. Boisse, F. Sidoroff,and b. Hageg, "A Hyperelastic Approach to Simulate Fibrous Composite Reinforcements at Finite Strains," <i>Proceedings of the Conference Journees Nationales sure les Composites</i>, Marseille, Juin 2007</ref>
 
<ref name="Boisse">P. Boisse, N.Hamila, F. Helenon, Y. Aimene, and T. Mabrouki, "Draping of Textile Composite Reinforcements: Continuous and Discrete Approaches," <i>Advanced Composites Letters</i>, '''16'''(4) (2019).</ref>
</references>
</references>

Latest revision as of 15:00, 26 April 2024

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:

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

Examples

References

  1. 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
  2. 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).