The instant invention relates to a process for the production of crosslinked plastics comprising reacting organic polyisocyanates, organic polyhydroxyl compounds and olefinically unsaturated monomers, optionally in the presence of catalysts and/or other auxiliaries and additives, wherein (A) THE POLYHYDROXYL COMPOUNDS USED ARE OLEFINICALLY UNSATURATED POLYHYDROXYL POLYESTERS WITH OH-numbers in the range of from 200 to 1000, molecular weights in the range of from 200 to 800 and double bond contents of from 0.1 to 0.5 gram equivalents of C=C double bonds per 100 g of polyester; (B) THE OLEFINICALLY UNSATURATED MONOMERS USED ARE OLEFINICALLY UNSATURATED COMPOUNDS WITH NO MORE THAN ONE ISOCYANATE-REACTIVE GROUP AND BOILING POINTS IN THE RANGE OF FROM 40 DEG TO 250 DEG C, the monomers being employed in such quantities that, for every olefinically unsaturated double bond in the polyhydroxyl compound (a) there are from 0.3 to 5 olefinically unsaturated double bonds emanating from the polymerizable monomers; and (C) THE QUANTITIES IN WHICH THE REACTANTS ARE USED ARE SELECTED IN SUCH A WAY THAT THERE ARE FROM 0.3 TO 5 ISOCYANATE GROUPS PER HYDROXYL GROUP IN THE REACTION MIXTURE.
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