Ceramic matrix composites have become viable materials for jet engine applications. In particular, SiC fiber‐reinforced SiC matrix composites are being developed for hot section components of jet engine in order to reduce weight and increase temperature capability its of hot section. SiC/SiC composites can be fabricated by a variety of methods, including melt infiltration (MI), chemical vapor infiltration (CVI), and polymer infiltration pyrolysis. Composite properties vary significantly, depending on the processing approach, constituent content, and fiber architecture. Ultimately, for SiC/SiC composite performance, long‐time load‐carrying capability in oxidizing environments requires composites that have high matrix‐cracking stresses. The melt‐infiltrated composite system is the most developed SiC/SiC composite, can produce the highest matrix‐cracking stresses, and is expected to be inserted into a commercial jet engine application in the next few years. The critical factors for design associated with matrix crack formation are discussed with respect to possible composite variations within the melt‐infiltrated composite system; however, some of the trends observed should be transferable to the other composite systems described as well. In addition, current challenges for use of these materials in aero applications are discussed.