According to typical inventive practice, precursor particulate is pressed and/or caste and/or molded and/or machined, thereby producing a porous green body of a desired shape. A gas is brought into contact with the porous green body so that, via reaction bonding between the gas and the porous green body, the porous green body becomes a porous reaction-bonded ceramic preform, geometrically corresponding to the porous green body. One or more infiltrant materials, at least one of which is glass or polymer, is/are caused to infiltrate the pores of the RB ceramic perform. The infiltrants are selected from glass, polymer, and metal. The infiltrated preform is permitted to cool and solidify, resulting in an embodiment of an inventive non-ceramic-infiltrated reaction-bonded-ceramic structure. Because of their potential material attributes such as strength, energy dissipation, and low density, the present invention's non-ceramic-infiltrated reaction-bonded-ceramic structures are especially favorable for inclusion in personal/personnel ballistic armor systems.