Disclosed are a composite material, a composite structure made of the same, and a method for producing a metal-ceramic composite material or a composite structure. The composite material or the composite structure is produced by means of the following method: In a first step, a porous ceramic bisque is produced from a ceramic starting material; in a second step, the porous ceramic bisque is infiltrated with a molten metal. The ceramic starting material comprises a ceramic main component and a ceramic secondary component that reacts with said main component. The secondary component at least partially reacts with the main component during the first and/or the second step.