Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity

  • Marco ArtinaEmail author
  • Massimo Fornasier
  • Stefano Micheletti
  • Simona Perotto
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


We deal with the Ambrosio-Tortorelli approximation of the well-known Mumford-Shah functional to model quasi-static crack propagation in brittle materials. We employ anisotropic mesh adaptation to efficiently capture the crack path. Aim of this work is to investigate the numerical sensitivity of the crack behavior to the parameters involved in both the physical model and in the adaptive procedure.


Brittle Fracture Parameter Sensitivity Crack Path Adaptive Procedure Posteriori Error Estimator 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Marco Artina
    • 1
    Email author
  • Massimo Fornasier
    • 1
  • Stefano Micheletti
    • 2
  • Simona Perotto
    • 2
  1. 1.Faculty of MathematicsTechnische Universität MünchenGarchingGermany
  2. 2.MOX – Dipartimento di Matematica “F.Brioschi”Politecnico di MilanoMilanoItaly

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