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Analytical prediction of yield stress and strain hardening in a strain gradient plasticity material reinforced by small elastic particles
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: International journal of plasticity, ISSN 0749-6419, E-ISSN 1879-2154, Vol. 151, p. 103200-103200, article id 103200Article in journal (Refereed) Published
Abstract [en]

The influence on macroscopic work hardening of small, spherical, elastic particles dispersedwithin a matrix is studied using an isotropic strain gradient plasticity framework. An analyticalsolution for strain hardening, i.e. the flow stress as a function of plastic strain, based ona recently developed model for initial yield strength is proposed. The model accounts forrandom variations in particle size and elastic properties, and is numerically validated againstFE solutions in 2D/3D unit cell models. Excellent agreement is found as long as the typicalparticle radius is much smaller than the material length scale, given that the particle volumefraction is not too large (< 10%) and that the particle/matrix elastic mismatch is within arealistic range. Finally, the model is augmented to account for strengthening contribution from shearable particles using classic line tension models and successfully calibrated againstexperimental tensile data on an 𝐴𝑙 − 2.8𝑤𝑡%𝑀𝑔 − 0.16𝑤𝑡%𝑆𝑐 alloy.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 151, p. 103200-103200, article id 103200
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-321941DOI: 10.1016/j.ijplas.2021.103200ISI: 000788097800003Scopus ID: 2-s2.0-85123247038OAI: oai:DiVA.org:kth-321941DiVA, id: diva2:1713661
Note

QC 20221128

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