Interesting question, and it is expected that such materials have low dielectric constant, probably in the range from 1.2 to 1.8 depending on the density of cross wirings of the substrate. This work may be of interest:
There is a single frequency method, basically the resonant frequency which enables investigation of dialectic constant of a substrate upon the design of wearable materials. The effective rectangular patch length (Leff)or the radiation patch width (w) is dependent on the resonant frequency and the dialectic constant of the material. This method enables interpolation of possible range of values for the dialectic constant of substrates, which can be expressed as
Leff = L + 2∆L = C0/2fr.(sqrt( 𝜀𝑟eff ))
Where,
L = physical patch length
∆L = extended patch length due to fringing field effect
C0 = speed of light in vacuum
fr = resonance frequency of the patch
𝜀𝑟eff = effective real part of the dielectric constant
But assuming a radiation patch width (w) to be approximately equal to 2Leff, hence we have the dialectic constant expressed as