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An improved strain gradient plasticity formulation with energetic interfaces: theory and a fully implicit finite element formulation
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).ORCID iD: 0000-0002-9509-2811
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2013 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 51, no 5, 641-659 p.Article in journal (Refereed) Published
Abstract [en]

A fully implicit backward-Euler implementation of a higher order strain gradient plasticity theory is presented. A tangent operator consistent with the numerical update procedure is given. The implemented theory is a dissipative bulk formulation with energetic contribution from internal interface to model the behavior of material interfaces at small length scales. The implementation is tested by solving some examples that specifically highlight the numerics and the effect of using the energetic interfaces as higher order boundary conditions. Specifically, it is demonstrated that the energetic interface formulation is able to mimic a wide range of plastic strain conditions at internal boundaries. It is also shown that delayed micro-hard conditions may arise under certain circumstances such that an interface at first offers little constraints on plastic flow, but with increasing plastic deformation will develop and become a barrier to dislocation motion.

Place, publisher, year, edition, pages
2013. Vol. 51, no 5, 641-659 p.
Keyword [en]
Strain gradient plasticity, Interface modeling, Mixed order FE-elements, Backward-Euler algorithm
National Category
Metallurgy and Metallic Materials Applied Mechanics
URN: urn:nbn:se:kth:diva-122503DOI: 10.1007/s00466-012-0743-5ISI: 000317422600005ScopusID: 2-s2.0-84877813345OAI: diva2:622823
Swedish Research Council, 621-2005-5759

QC 20130523

Available from: 2013-05-23 Created: 2013-05-23 Last updated: 2013-12-05Bibliographically approved

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Dahlberg, Carl F. O.Faleskog, Jonas
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