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Dynamic fracture modelling using Peridynamics

  • Sahir N. Butt
  • Günther Meschke
Conference paper

Zusammenfassung

Understanding and predicting crack propagation in brittle and quasi-brittle materials, which always is a dynamic process on some scale, is of crucial importance in a number of applications. One example specifically of interest for the presentation is the excavation of tunnels by means of disc cutters, which is based on the dynamic fragmentation of the rock at the tunnel face to advance the tunnel boring machine. Although various models based on discrete and continuum numerical representations of fracture propagation at various spatial scales have been proposed since the 1970s, a complete theory able to describe the process of dynamic fracture quantitatively still does not seem to be available. Nucleation and propagation of even a single crack couples various physical mechanisms on widely varying spatial and temporal scales.

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Literatur

  1. [1].
    Freund, L. Ben. Dynamic fracture mechanics. Cambridge university press, 1998.Google Scholar
  2. [2].
    Sharon, Eran, and Jay Fineberg. “Microbranching instability and the dynamic fracture of brittle materials.” Physical Review B 54.10 (1996): 7128.Google Scholar
  3. [3].
    Yoffe, Elizabeth H. “LXXV. The moving Griffith crack.” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 42.330 (1951): 739-750.Google Scholar
  4. [4].
    Silling, Stewart A., and R. B. Lehoucq. “Peridynamic theory of solid mechanics.” Advances in applied mechanics. Vol. 44. Elsevier, 2010. 73-168.Google Scholar
  5. [5].
    Butt, Sahir N., Jithender J. Timothy, and Günther Meschke. “Wave dispersion and propagation in state-based peridynamics.” Computational Mechanics 60.5 (2017): 725-738.Google Scholar
  6. [6].
    Fineberg, Jay, and Eran Bouchbinder. “Recent developments in dynamic fracture: some perspectives.” International Journal of Fracture 196.1-2 (2015): 33-57.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature 2018

Authors and Affiliations

  • Sahir N. Butt
    • 1
  • Günther Meschke
    • 1
  1. 1.Institute for Structural MechanicsRuhr Universität BochumBochumDeutschland

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