The Fiber Bundle Model

Gathering research from physics, mechanical engineering, and statistics in a single resource for the first time, this text presents the background to the model, its theoretical basis, and applications ranging from materials science to earth science. The book contains different applications of the fiber bundle model. As example, the authors have included fatigue and creep in their discussion. The understanding of materials and their behavior under different conditions is undergoing a revolution due to the coming-of-age of computational atomistic modeling. Even though this technique allows for the precise knowledge of what every atom is doing in such materials, it is still necessary to understand the results in terms of models such as the fiber bundle model. From the contents: • The Fiber Bundle Model • Average Properties• Fluctuation Effects • Local and Intermediate Load Sharing • Recursive Breaking Dynamics • Predicting Failure • Fiber Bundle Model in Material Science • Snow Avalanches and Landslides Gathering research from physics, mechanical engineering, and statistics in a single resource for the first time, this text presents the background to the model, its theoretical basis, and applications ranging from materials science to earth science. The authors start by explaining why disorder is important for fracture and then go on to introduce the fiber bundle model, backed by various different applications. Appendices present the necessary mathematical, computational and statistical background required. The structure of the book allows the reader to skip some material that is too specialized, making this topic accessible to the engineering, mechanics and materials science communities, in addition to providing further reading for graduate students in statistical physics.