A note on the instability and pattern formation of shrinkage cracks in viscoplastic soils

TitleA note on the instability and pattern formation of shrinkage cracks in viscoplastic soils
Publication TypeJournal Article
Year of Publication2021
AuthorsM Veveakis, and T Poulet
JournalGeomechanics for Energy and the Environment
Volume25
Pagination100198 - 100198
Date Published03/2021
Abstract

© 2020 Elsevier Ltd In this note we present a theoretical study on the conditions for the onset of cracks, as well as the corresponding pattern formation, in saturated viscoplastic soils under isotropic loading (extension). The type of stress applied is left unspecified, to cover a variety of loadings including shrinkage due to desiccation, isotropic thermal expansion, mechanical loading and so forth. By treating the saturated soil as rigid viscoplastic, we obtain a 2D extension of the Cnoidal Waves equations (Veveakis and Regenauer-Lieb, 2015). By numerically solving the corresponding boundary value problem, we retrieve conditions for the onset of cracking instability in 2D loading, and identify the characteristic spacing between cracks to be a length scale combining all the hydro-mechanical parameters of the problem. Finally, we show that in a rectangular slab of clay under isotropic extension, patterns of triangular, rectangular and hexagonal cracks can tessellate the domain, with the hexagonal pattern being the energetically favored, as it minimizes the free energy of the system.

DOI10.1016/j.gete.2020.100198
Short TitleGeomechanics for Energy and the Environment