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Discrete Description of Crack Kinematics in Regularized Free Discontinuities of Crack Faces

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Material Modeling and Structural Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 161))

Abstract

The fracture mechanical free discontinuity problem can be associated with a generalized, variational approach of GRIFFITH’s fracture theory. By introducing a regularization for the sharp displacement discontinuity at cracks and crack surfaces, stable computational fracture models are developed, e.g., the phase-field fracture formulation and the eigenfracture approach. The presented work summarizes recent findings regarding unrealistic deformation kinematics at cracks predicted by conventional formulations of both models and introduces the variational framework of Representative Crack Element to overcome these discrepancies. Illustrative examples for crack propagation and post-fracture behavior at small and finite deformations, brittle and cohesive failure as well as for rate-dependent materials frictional crack contact demonstrate the flexibility and the generality of the introduced Representative Crack Element.

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Authors and Affiliations

  1. Institute for Structural Analysis, TU Dresden, 01062, Dresden, Germany

    Bo Yin, Johannes Storm & Michael Kaliske

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  1. Bo Yin
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  2. Johannes Storm
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Editors and Affiliations

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

    Holm Altenbach

  2. Institute of Solid Mechanics, Faculty of Mechanical Science and Engineering, TU Dresden, Dresden, Germany

    Michael Beitelschmidt

  3. Institute for Solid Mechanics, TU Dresden, Dresden, Germany

    Markus Kästner

  4. Institute of Mechanics, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute of Solid Mechanics, Faculty of Mechanical Science and Engineering, TU Dresden, Dresden, Germany

    Thomas Wallmersperger

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Yin, B., Storm, J., Kaliske, M. (2022). Discrete Description of Crack Kinematics in Regularized Free Discontinuities of Crack Faces. In: Altenbach, H., Beitelschmidt, M., Kästner, M., Naumenko, K., Wallmersperger, T. (eds) Material Modeling and Structural Mechanics . Advanced Structured Materials, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-030-97675-0_11

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