  This paper investigates cylindrically symmetric distribution of an-isotropic
fluid under the expansion-free condition, which requires the existence of
vacuum cavity within the fluid distribution. We have discussed two family of
solutions which further provide two exact models in each family. Some of these
solutions satisfy Darmois junction condition while some show the presence of
thin shell on both boundary surfaces. We also formulate a relation between the
Weyl tensor and energy density.
