  We study the elastic properties of thermotropic smectic liquid crystals with
focal conic domains (FCDs). After the application of the controlled preshear at
different temperatures, we independently measured the shear modulus G' and the
FCD size L. We find out that these quantities are related by the scaling
relation G' ~ \gamma_{eff}/L where \gamma_{eff} is the effective surface
tension of the FCDs. The experimentally obtained value of \gamma_{\rm eff}
shows the same scaling as the effective surface tension of the layered systems
\sqrt{KB} where K and B are the bending modulus and the layer compression
modulus, respectively. The similarity of this scaling relation to that of the
surfactant onion phase suggests an universal rheological behavior of the
layered systems with defects.

Soft Condensed Matter