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

This is a Preprint and has not been peer reviewed.

Downloads

Download Preprint

Authors

Emmanouil Veveakis, Thomas Poulet

Abstract

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.

DOI

https://doi.org/10.31223/osf.io/h5rb7

Subjects

Civil and Environmental Engineering, Engineering, Materials Science and Engineering

Keywords

bifurcation analysis, cnoidal waves, hexagonal patterns, mud-cracks

Dates

Published: 2019-11-08 00:42

Older Versions
License

GNU Lesser General Public License (LGPL) 2.1

Add a Comment

You must log in to post a comment.


Comments

There are no comments or no comments have been made public for this article.