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Strain gradient plasticity modelling of cyclic loading in dispersion hardened materials
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.ORCID iD: 0000-0002-8546-6381
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.ORCID iD: 0000-0002-0307-8917
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.ORCID iD: 0000-0003-2470-7679
2022 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 96, article id 104741Article in journal (Refereed) Published
Abstract [en]

An analytical model, based on an isotropic strain gradient plasticity theory, describing work hardening during cyclic straining in a metal reinforced by a dispersion of non shearable particles is presented. The yield criterion is expressed in terms of isotropic and kinematic hardening contributions and the model is validated against full field finite element (FE) solutions on a 2D axi-symmetric unit cell model. Excellent agreement between analytical and FE results is obtained. The theory presented includes mixed energetic/dissipative contributions from higher order stresses in both bulk and at particle/matrix interfaces. In particular, the influence of a quadratic interface free energy that transitions into a linear form at some threshold value of plastic strain is investigated. It is shown that such an energy is capable of capturing the experimentally observed phenomenon of inflections in the reverse stress-strain curve. It is argued, based on the well known phenomenon where particles are shielded by Orowan dislocation loops during reverse strain, that an energetic interface contribution could be physically relevant for low plastic strains.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 96, article id 104741
Keywords [en]
Strain gradient plasticity, Precipitation hardening, Cyclic plasticity, Bauschinger effect
National Category
Other Materials Engineering Energy Engineering Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-316717DOI: 10.1016/j.euromechsol.2022.104741ISI: 000838535200003Scopus ID: 2-s2.0-85134883903OAI: oai:DiVA.org:kth-316717DiVA, id: diva2:1691522
Note

QC 20220830

Available from: 2022-08-30 Created: 2022-08-30 Last updated: 2022-11-25Bibliographically approved
In thesis
1. Continuum modelling of work hardening in precipitation hardened alloys
Open this publication in new window or tab >>Continuum modelling of work hardening in precipitation hardened alloys
2022 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis deals with prediction of macroscopic work hardening in a precipitation hardened alloy. The focus is on the particle contribution. A hierarchical modelling approach is adopted where work hardening in a representative material volume on the microscale is homogenized and used to represent the macroscopic hardening. The modelling on the smaller scale is carried out within the framework of an isotropic continuum strain gradient plasticity theory where particlesare modelled as elastic zones embedded in a continuous isotropic elastic-plasticmatrix. Effects of plastic deformation in smaller particles are included as well.Moreover, the interface between a particle and its surrounding matrix is modelled as a separate region of zero thickness. The end result is an analytical model that highlights the particle contribution under cyclic deformation assuming small plastic strains, and a small to moderate volume fraction of particles. The model moreover allows effects of plastic relaxation around particles to be included in a straightforward manner, which in turn allows larger plastic strains to be considered. Validation of the model is carried out by comparison with experimental uniaxial tension/compression data on a maragin stainless 15-5 steel containingspherical Cu-precipitates. In the first validation, only monotonic loading is considered and the model is brought to close agreement with the data up to a plasticstrain of 7.5% via the implementation of a plastic relaxation model. In the second validation, the model is compared to cyclic tension/compression experiments with plastic strain amplitudes up to 1%. Generally excellent agreement between model and experimental data is obtained.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2022. p. 37
Series
TRITA-SCI-FOU ; 2022:63
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
urn:nbn:se:kth:diva-321779 (URN)978-91-8040-441-9 (ISBN)
Public defence
2022-12-19, F3, Lindstedtsvägen 26, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 221128

Available from: 2022-11-28 Created: 2022-11-25 Last updated: 2022-11-28Bibliographically approved

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Croné, PhilipGudmundson, PeterFaleskog, Jonas

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