Phase transition in fiber bundle model

In the present work, we study the phase transition in the composite materials by using the Langevin equation within the framework of the fiber bundle model, subject to the global load-sharing rule in which the load failing elements is shared equally among all surviving elements. We show that fracture in the case of global load sharing can be seen as a second-order phase transition and then we define the order parameter related to this phase transition. Finally we present some properties related to failure phenomenon obtained in the critical point like the failure time and the susceptibility.