Micromorphic crystal plasticity approach to damage regularization and size effects in martensitic steels

Matti Lindroos (Corresponding Author), Jean-Michel Scherer, Samuel Forest, Anssi Laukkanen, Tom Andersson, Joona Vaara, Antti Mäntylä, Tero Frondelius

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14 Citations (Scopus)
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A reduced micromorphic model is formulated in the scope of crystal plasticity and crystalline cleavage damage. The finite strain formulation utilizes a single additional microvariable that is used to regularize localized inelastic deformation mechanisms. Damage is formulated as a strain-like variable to fit the generalized micromorphic microslip and/or microdamage based formulation. Strategies of treating slip and damage simultaneously and separately as non-local variables are investigated. The model accounts for size-effects that simultaneously affect the hardening behavior and allow to predict finite width damage localization bands. The results show that the micromorphic extension introduces extra-hardening in the vicinity of grain boundaries and slip localization zones in polycrystals. At the single crystal level slip band width is regularized. Two ways of dealing with damage localization were identified: An indirect method based on controlling width of slip bands that act as initiation sites for damage and a direct method in which damage flow is regularized together with or separately from plastic slip. Application to a real martensitic steel microstructure is investigated.
Original languageEnglish
Article number103187
JournalInternational Journal of Plasticity
Publication statusPublished - Apr 2022
MoE publication typeA1 Journal article-refereed


The authors would like to acknowledge the financial support of Business Finland in the form of a research projects ISA Wärtsilä Dnro 7734/31/2018 and ISA VTT Dnro 7980/31/2018. Matti Lindroos has received funding from the Euratom research and training programme 2019–2020 under grant agreement No 900018 (ENTENTE project) related to the model development of this work.


  • Micromorphic
  • gradient plasticity
  • crystal plasticity
  • damage


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