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In twist-bend nematic (N\textsubscript{TB}) liquid crystals (LCs), the meanmolecular orientation exhibits heliconical structure with nanoscaleperiodicity. On the mesoscopic scale, N\textsubscript{TB} resembles layeredsystems (like smectics), where the helical pitch is equivalent to"pseudo-layers" without a true mass density wave. We study rheologicalproperties of a N\textsubscript{TB} phase and compare the results with those ofan usual SmA phase. Analysing the shear response and adapting a simplifiedphysical model for rheology of defect mediated lamellar systems we measure thepseudo-layer compression elastic constant $B_{eff}$ of N\textsubscript{TB}phase from the measurements of dynamic modulus $G^{*}(\omega)$. We find that$B_{eff}$ of the N\textsubscript{TB} phase is in the range of $10^{3}-10^{6}$Pa and it follows a temperature dependence, $B_{eff}\sim (T_{TB}-T)^{2}$ aspredicted by the recent coarse-grained elastic theory. Our results show thatthe structural rheology of N\textsubscript{TB} is strikingly similar to that ofthe usual smectic LCs although the temperature dependence of $B_{eff}$ is muchfaster than smectic LCs as predicted by the coarse-grained models.

Smectic-like rheology and pseudo-layer compression elastic constant of a twist-bend nematic liquid crystal