Fibrocartilage implants characterized by circumferential fiber networks embedded in arcuate or torroidal scaffolds with orthogonal fiber networks embedded therein to prevent separation of the circumferential fiber networks. The fiber networks convert axial compressive forces on the scaffolds to tensile loads on the circumferential fibers. Artificial knee meniscus and vertebral disc implants are disclosed, as well as articular disc implants for joints such as the temporomandibular joint and wrist. Methods for implanting the fibrocartilage devices are also disclosed.