This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.
This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.
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 dessication, 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 [1]. 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.
https://doi.org/10.31223/osf.io/h5rb7
Civil and Environmental Engineering, Engineering, Materials Science and Engineering
bifurcation analysis, cnoidal waves, hexagonal patterns, mud-cracks
Published: 2019-11-08 08:42
There are no comments or no comments have been made public for this article.