Title
Predicting the Yield Stress of Geomaterials from Their Microstructure
Author
Lesueur, M.J.B.P. (TU Delft Applied Mechanics)
Zhang, X. (TU Delft Civil Engineering & Geosciences)
Poulet, Thomas (CSIRO, Mineral Resources)
Veveakis, Manolis (Duke University)
Contributor
Pasternak, Elena (editor)
Dyskin, Arcady (editor)
Faculty
Civil Engineering & Geosciences
Date
2023
Abstract
The seminal work of Gurson (J Eng Mater Technol 99:2–5, 1977) on a simplified pore structure, a single spherical pore, first provided a theoretical relationship between the yield stress and the porosity. This contribution extends the approach to determine the macroscopic yield of a porous material by taking explicitly into account its internal structure. As the yielding of a porous material is controlled by the geometry of its internal structure, we postulate that it is nearly independent of the constitutive plastic behaviour of the material. Here, we show that the influence of that internal structure on the yield could be retrieved from a finite element computation with just an elastoplastic ideal (J2) material equivalent of the skeleton’s. With some basic knowledge about the skeleton’s mechanical properties, this process allows the determination of the yield stress without requiring the experimental compression of the material. We showcase the predictive power of the method against experimental testing, initially for a unit cell following Gurson, i.e., unique cylindrical void in a 3D printed cylinder sample. Eventually, the applicability of the method is demonstrated on a complex 3D printed rock microstructure, reconstructed from a sandpack’s CT-scan.
Subject
3D printing
Microstructure
Yield stress
To reference this document use:
http://resolver.tudelft.nl/uuid:ad7f7996-0f02-4655-8a34-a9022995ac94
DOI
https://doi.org/10.1007/978-3-031-22213-9_21
Publisher
Springer Science and Business Media Deutschland GmbH
Embargo date
2023-07-01
ISBN
978-3-031-22212-2
Source
Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics
Event
12th International Workshop on Bifurcation and Degradation in Geomechanics, IWBDG 2022, 2022-11-28 → 2022-12-01, perth, Australia
Series
Springer Series in Geomechanics and Geoengineering, 1866-8755
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Part of collection
Institutional Repository
Document type
conference paper
Rights
© 2023 M.J.B.P. Lesueur, X. Zhang, Thomas Poulet, Manolis Veveakis