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A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture

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Advanced Methods of Continuum Mechanics for Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 60))

Abstract

Gradient-enhanced damage models find their roots in damage mechanics, which is a smeared approach from the onset, and gradients were added to restore well-posedness beyond a critical strain level. The phase-field approach to brittle fracture departs from a discontinuous description of failure, where the distribution function is regularised, which also leads to the inclusion of spatial gradients. Herein, we will consider both approaches, and discuss their similarities and differences.

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Authors and Affiliations

  1. Department of Civil and Structural Engineering, University of Sheffield, Sheffield, UK

    René de Borst

  2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Clemens V. Verhoosel

Authors
  1. René de Borst
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  2. Clemens V. Verhoosel
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Correspondence to René de Borst .

Editor information

Editors and Affiliations

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

    Konstantin Naumenko

  2. Otto von Guericke University, Institute of Mechanics, Magdeburg, Germany

    Marcus Aßmus

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© 2016 Springer Science+Business Media Singapore

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de Borst, R., Verhoosel, C.V. (2016). A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture. In: Naumenko, K., Aßmus, M. (eds) Advanced Methods of Continuum Mechanics for Materials and Structures. Advanced Structured Materials, vol 60. Springer, Singapore. https://doi.org/10.1007/978-981-10-0959-4_14

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  • DOI: https://doi.org/10.1007/978-981-10-0959-4_14

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0958-7

  • Online ISBN: 978-981-10-0959-4

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