A method may include positioning a multilayer braze tape at a joint between a first part comprising a ceramic or CMC and a second part comprising at least one of a ceramic, a CMC, a metal, or an alloy. The multilayer braze tape may include at least one layer comprising a silicon-containing braze material and at least one layer comprising a reinforcement material. The method also may include applying pressure to compress the multilayer braze tape between the first part and the second part, and heating the multilayer braze tape to melt the silicon-containing braze material and join the first part and the second part.