Compressive Strength of Fabric??

I am trying to model a rubber impregnated fabric as rebar in Abaqus Standard. It seems that the rebar is only good in uniaxial tension load and it causes convergence problem in bending and compression loading. The fabric and rubber matrix has a compressive strength and that is critical to the model that I am analyzing. What would be a good approach to include compression on fabric rebar? The compressive strength of fabric matrix should be an order of magnitude lower than the tensile strength but I do not have a test data in compressive loading.