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A combined phase field approach for martensitic transformations and damage

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Abstract

A combined continuum phase field model for martensitic transformations and fracture is introduced. The positive volume change that accompanies the phase transformation from austenite to martensite leads to an eigenstrain within the martensitic phase, which is considered within the present approach. Since the eigenstrain leads to both tensile and compressive loads, the model accounts for the sign of the local volume change. With aid of this model, the interactions between microcrack propagation and the formation of the martensitic phase are studied in two dimensions. Martensite forms in agreement with experimental observations at the crack tip and thus influences the crack formation. The numerical implementation is performed with finite elements. For the transient terms, an implicit time integration scheme is employed.

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Authors and Affiliations

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

    Regina Schmitt & Ralf Müller

  2. Computational Mechanics, University of Kaiserslautern, P.O. Box 3049, 67653, Kaiserslautern, Germany

    Charlotte Kuhn

  3. Institute of Materials Science and Engineering, University of Kaiserslautern, P.O. Box 3049, 67653, Kaiserslautern, Germany

    Robert Skorupski, Marek Smaga & Dietmar Eifler

Authors
  1. Regina Schmitt
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  2. Charlotte Kuhn
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  3. Robert Skorupski
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  4. Marek Smaga
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  5. Dietmar Eifler
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  6. Ralf Müller
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Correspondence to Regina Schmitt.

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Schmitt, R., Kuhn, C., Skorupski, R. et al. A combined phase field approach for martensitic transformations and damage. Arch Appl Mech 85, 1459–1468 (2015). https://doi.org/10.1007/s00419-014-0945-8

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  • DOI: https://doi.org/10.1007/s00419-014-0945-8

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