Introduction and Preliminaries

James U. Gleaton (), David Han, James D. Lynch, Hon Keung Tony Ng and Fabrizio Ruggeri
Additional contact information
David Han: University of Texas at San Antonio, Management of Science and Statistics
James D. Lynch: University of South Carolina, Department of Statistics
Hon Keung Tony Ng: Bentley University, Department of Mathematical Sciences
Fabrizio Ruggeri: Consiglio Nazionale delle Ricerche, Istituto di Matematica Applicata e Tecnologie Informatiche

Chapter Chapter 1 in Fiber Bundles, 2022, pp 1-28 from Springer

Abstract: Abstract Over the last sixty years, fiber bundle models (FBMs) have played an indispensable role in “Modelling Critical and Catastrophic Phenomena.” The phrase in quotes is part of the title of a book on FBM (Bhattacharyya & Chakrabarti, 2006). This book consists of several tutorial introductory chapters, one of which is by Kun et al. (2006) entitled “Extensions of fibre bundle models,” where they state that “The fibre bundle model is one of the most important theoretical approaches to investigate the fracture and breakdown (BD) of disordered media extensively used both by the engineering and physics community.” The chapters after the introductory ones are specialized applications of the FBM in the geosciences.

Date: 2022
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DOI: 10.1007/978-3-031-14797-5_1

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