A calender arrangement for calendering a material web, in particular a paper web, having a shoe roll and a mating roll, between which an extended nip is formed, through which the material web can be guided. The shoe roll includes a revolving shell, which is fixed to two rotatably mounted terminating elements arranged at the ends and can be loaded in the direction of the mating roll via a press shoe matched to the outside of the mating roll. The shell includes a radially inner base layer and an adjacent, radially outer functional layer. The base layer includes a resilient matrix material reinforced by embedded fibers, and the functional layer includes a matrix material with a lower fiber content than the base layer.