An analytical solution describing the shape of a yield stress material subjected to an overpressure

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Abstract

Many fluids and granular materials are able to withstand a limited shear stress without flowing. These materials are known as yields stress materials. Previously, an analytical solution was presented to quantify the yield stress for such materials. The yields stress is obtained based on the density as well as the spread length and height of the material when deformed in a box due to gravity. In the present work, the analytical solution is extended with the addition of an overpressure that acts over the entire body of the material. This extension enables finding the shape of a yield stress material with known density and yield stress when for instance deformed under water or subjected to a forced air pressure.
Original languageEnglish
Article number030049
JournalA I P Conference Proceedings Series
Volume1738
Number of pages5
ISSN0094-243X
DOIs
Publication statusPublished - 2016
Event13th International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015) - Rhodes, Greece
Duration: 22 Sep 201528 Sep 2015
http://icnaam.org/

Conference

Conference13th International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)
LocationRhodes,
CountryGreece
Period22/09/201528/09/2015
Internet address

Keywords

  • Analytical solutions
  • Rheology
  • Yield stress

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