This paper presents the results of a rheological study of thermotropic
nematic colloids aggregated into cellular structures. Small sterically
stabilised PMMA particles dispersed in a liquid crystal matrix densely pack on
cell interfaces, but reversibly mix with the matrix when the system is heated
above Tni. We obtain a remarkably high elastic modulus, G’~10^5 Pa, which is a
nearly linear function of particle concentration. A characteristic yield stress
is required to disrupt the continuity of cellular structure and liquify the
response. The colloid aggregation in a poor nematic'' MBBA has the same cellular morphology as in the good nematic’’ 5CB, but the elastic strength is
at least an order of magnitude lower. These findings are supported by
theoretical arguments based on the high surface tension interfaces of a
foam-like cellular system, taking into account the local melting of nematic
liquid and the depletion locking of packed particles on interfaces.

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