Abstract: The invention relates to an antiballistic shaped part composed of a stack of composite layers which layers are not linked to one another. Each composite layer having two or more monolayers of unidirectionally oriented fibers in a matrix. The fibers in each monolayer being at an angle to the fibers in an adjoining monolayer, and composed of poly(p-phenylenebenzobisoxazole. The composite layer containing at most 10% by weight of an elastomeric matrix material (calculated on the basis of the total weight of the composite layer), and having an areal density of at most 500 g/m2. The fiber content in each monolayer being between 10 and 200 g/m2. The invention also relates to method for fabricating said shaped part and body armour in which the shaped part is used.