Component-based analysis allows a robust time and space decomposition of a complex real-time system into components, which are then recomposed and hierarchically scheduled under potentially different scheduling policies. This mechanism is of great benefit to many critical systems as it enables fault isolation. To provide fault-tolerant scheduling in a compositional real-time scheduling framework, a few works have recently emerged, but remain inefficient in providing fault isolation or in terms of resource utilization. In this paper, we introduced a new interface model that takes into account the fault requirements of a component, and a fault-tolerant resource model that helps the component to effectively respond to each of its child components in presence of a fault. Finally, we analyzed the schedulability of the framework considering the Rate Monotonic scheduling algorithm.