This chapter demonstrates how the fiber bundle model can be used as a tool for studying important phenomena in materials, particularly in fibrous materials. It first shows that when strength‐reducing events can occur, several types of bundle strength behavior may be modeled. The chapter then describes general characteristics of creep failure by modeling how the fibers are continuously weakened through damage accumulation. It treats viscoelastic creep in fiber bundles with fibers that are both elastic and viscous. An interesting experimental study of fatigue in asphalt, modeled as a fiber bundle is presented. The influence of temperature on a fiber bundle is considered by assuming that the Gaussian distributed thermal fluctuations give an extra contribution to the stress on a fiber, in addition to the one caused by the external force. The chapter also considers the influence of noise in a more empirical way, without specifying the precise mechanisms.