Is the matrix component in your composite a hyperelastic material? I have never done it myself but I know ANSYS layered-element formulations support hyperelastic material properties to use rubber-like materials in composite models. Also have a look at 4.6.12.1. Anisotropic Hyperelasticity and 4.6.4. Anisotropic Hyperelasticity of the help documentation. Also if you have the testing data try different models and see which fits the best.
Regards
Ishan.
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