Composite material composed of(a) a plasticized PVC substrate, if appropriate a fabric coated with plasticized PVC, and(b) a top layer composed of(b.sup.1) 5 to 100% by weight of a mixture of an acrylic resin and plasticized PVC, and(b.sup.2) 0 to 95% by weight of a fluorine-containing copolymer formed from vinylidene fluoride, hexafluoropropylene, tetrafluoroethylene and, if appropriate, a further fluoroolefin or fluoroalkyl vinyl ether,wherein, if the content of (b.sup.1) in (b) is 0 to 15% by weight, a sealing layer composed of the fluorine-containing copolymer (b.sup.2) is also applied to the top layer. The composite material is particularly suitable for structural units belonging to the field of textile construction.