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Introduction and Preliminaries

In: Fiber Bundles

Author

Listed:
  • James U. Gleaton

  • 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)

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.

Suggested Citation

  • James U. Gleaton & David Han & James D. Lynch & Hon Keung Tony Ng & Fabrizio Ruggeri, 2022. "Introduction and Preliminaries," Springer Books, in: Fiber Bundles, chapter 0, pages 1-28, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-14797-5_1
    DOI: 10.1007/978-3-031-14797-5_1
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