TY - GEN
T1 - Predicting the Yield Stress of Geomaterials from Their Microstructure
AU - Lesueur, Martin
AU - Zhang, Xinrui
AU - Poulet, Thomas
AU - Veveakis, Manolis
N1 - 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.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - 3D printing
KW - Microstructure
KW - Yield stress
UR - http://www.scopus.com/inward/record.url?scp=85144822570&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-22213-9_21
DO - 10.1007/978-3-031-22213-9_21
M3 - Conference contribution
AN - SCOPUS:85144822570
SN - 978-3-031-22212-2
T3 - Springer Series in Geomechanics and Geoengineering
SP - 205
EP - 211
BT - Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics
A2 - Pasternak, Elena
A2 - Dyskin, Arcady
PB - Springer
T2 - 12th International Workshop on Bifurcation and Degradation in Geomechanics, IWBDG 2022
Y2 - 28 November 2022 through 1 December 2022
ER -