I am modeling a single CZM layer (E=2 MPa) at the interface of a fiber (E=242GPa) and a soft matrix (E=2 MPa). The question I have is how can I define a proper value for the density of the CZM layer.
1. You're modeling an interface, i.e. the initial thickness is zero. Unless you're investigating specific dynamic effects at the interface level (for which one should probably code its own version of cohesive elements), you don't need to specify the density. Inertial effects are restricted only to the bodies bounded by the cohesive elements. Furthermore, notice that, in this case, the initial thickness of cohesive elements is zero, which would give zero mass and inertia in the undamaged state followed by a sudden contribution when the element is activated (damaged). This would be hard to justify physically.
2. You're simulating a layer of adhesive of finite thickness, i.e. the initial thickness is different from zero. You can either use the density of the adhesive if known or the density of the matrix (adhesives and composites' matrices are polymers, often of the same family, in many cases even the same material).
My problem is the second case. The thickness is about 0.1 micron and the density of the upper and lower layers are very different. I was using the density of the soft layer. I will give a try to use the density of the stiff layer too.