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Extensions of Fibre Bundle Models

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Modelling Critical and Catastrophic Phenomena in Geoscience

Part of the book series: Lecture Notes in Physics ((LNP,volume 705))

Abstract

The fibre bundle model is one of the most important theoretical approaches to investigate the fracture and breakdown of disordered media extensively used both by the engineering and physics community. We present the basic construction of the model and provide a brief overview of recent results focusing mainly on the physics literature. We discuss the limitations of the model to describe the failure of composite materials and present recent extensions of the model which overcome these problems making the model more realistic: we gradually enhance the fibre bundle model by generalizing the failure law, constitutive behavior, deformation state and way of interaction of fibres. We show that beyond the understanding of the fracture of fibre reinforced composites, these extensions of the fibre bundle model also address interesting problems for the statistical physics of fracture.

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Author information

Authors and Affiliations

  1. Department of Theoretical Physics, University of Debrecen, Debrecen, 5, 4010, Hungary

    F. Kun

  2. Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, Stuttgart, 70569, Germany

    F. Raischel & H.J. Herrmann

  3. Department of Fundamental Physics, University of Barcelona, Franques 1, Barcelona, 08028, Spain

    R.C. Hidalgo

Authors
  1. F. Kun
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  2. F. Raischel
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  3. R.C. Hidalgo
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  4. H.J. Herrmann
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Editor information

Editors and Affiliations

  1. Physics Department, Gurudas College, Narkeldanga, Kolkata, 700054, India

    Pratip Bhattacharyya

  2. Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Kolkata, 700064, India

    Pratip Bhattacharyya

  3. Theoretical Condensed Matter Physics Division and Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Kolkata, 700064, India

    Bikas K. Chakrabarti

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Kun, F., Raischel, F., Hidalgo, R., Herrmann, H. (2006). Extensions of Fibre Bundle Models. In: Bhattacharyya, P., Chakrabarti, B.K. (eds) Modelling Critical and Catastrophic Phenomena in Geoscience. Lecture Notes in Physics, vol 705. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35375-5_3

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