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 184.108.40.206. 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.
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