A scrim-reinforced prepreg assembly for use in building low-porosity lay-ups. The assembly includes a prepreg that is composed of a fibrous reinforcement and a heat-curable resin mixture, the prepreg having suitable viscosity and sufficient tackiness to hold a scrim which is adhered to the prepreg by applying light pressure. The scrim is impressed onto the prepreg to such a degree, that less than half of the circumference of the scrim strands becomes coated by the heat-curable resin mixture.
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