Method for producing shaped bodies from reaction-bonded, silicon-infiltrated silicon carbide and/or boron carbide, characterized in that a monolithic preliminary body is built up in layers using a formless granulation to which a physical or chemical hardening or melt process is applied, wherein the granulation has a weight fraction of at least 95% silicon carbide and/or boron carbide with an average grain size of 70 to 200 μm, the so-created preliminary body is impregnated at least once by the introduction of a carbon black suspension or via a gas-phase separation and secondary silicon carbide is created in contact with liquid or gaseous silicon by a subsequent reaction firing that solidifies an engagement composite produced.