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Configurational Forces in a Phase Field Model for Dynamic Brittle Fracture

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Advances in Mechanics of Materials and Structural Analysis

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 80))

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Abstract

In this work, the concept of configurational forces is proposed to enhance the post-processing of phase field simulations for dynamic brittle fracture. A local configurational force balance is derived by taking the gradient of the Lagrangian density of the phase field fracture problem. It is shown that the total configurational forces computed for a crack tip control volume are closely related to the Griffith criterion of classical fracture mechanics. Finally, the evaluation of the configurational within the finite element framework is demonstrated by two examples.

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Acknowledgements

The financial support within the International Research Training Group 2057 is gratefully acknowledged.

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Authors and Affiliations

  1. Computational Mechanics and Institute of Applied Mechanics, University of Kaiserslautern, P.O.Box 3049, 67653, Kaiserslautern, Germany

    Alexander Schlüter

  2. Computational Mechanics, University of Kaiserslautern, Kaiserslautern, Germany

    Charlotte Kuhn

  3. Institute of Applied Mechanics, University of Kaiserslautern, Kaiserslautern, Germany

    Ralf Müller

Authors
  1. Alexander Schlüter
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  2. Charlotte Kuhn
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  3. Ralf Müller
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Corresponding author

Correspondence to Alexander Schlüter .

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Editors and Affiliations

  1. Institute of Mechanics Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät 5, Abt. 1, Hochschule Bremen, Bremen, Bremen, Germany

    Frank Jablonski

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Wolfgang H. Müller

  4. Institute of Mechanics, Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute for Lightweight Construction and Design (KLuB), Technische Universität Darmstadt, Darmstadt, Germany

    Patrick Schneider

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Schlüter, A., Kuhn, C., Müller, R. (2018). Configurational Forces in a Phase Field Model for Dynamic Brittle Fracture. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_16

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  • DOI: https://doi.org/10.1007/978-3-319-70563-7_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70562-0

  • Online ISBN: 978-3-319-70563-7

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