A principal stress cap model for stresses in square silos, with some examples of exponential stress

The principal stress cap approach has been used to model stresses in square hoppers, based upon an orthogonal grid upon a spherical surface sector, bounded by “great circles”. The model agrees with Rotter's correlation for lateral variation of wall normal stress for concave, active systems at u...

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Bibliographic Details
Published inPowder technology Vol. 412; p. 117983
Main Author Matchett, A.J.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2022
Subjects
Bulk solids
Modelling
Square silo
Bulk solids
Modelling
Square silo
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Summary:The principal stress cap approach has been used to model stresses in square hoppers, based upon an orthogonal grid upon a spherical surface sector, bounded by “great circles”. The model agrees with Rotter's correlation for lateral variation of wall normal stress for concave, active systems at uniform state of stress. However, systems of convex, passive stress do not conform to Rotter. The data of Jarrett{Geotechnique, 1995, 45, 95–104} and Brown{Chemical Engineering Science, 2000, 55, 4399–4413} have been modelled successfully, both qualitatively and quantitatively. Regions of the exponential stress regime have been found in the corner regions of the silo, alongside conventional Janssenian stress at the wall mid-points. Equivalent data of Jarrett and Brown are in reasonable agreement when plotted in dimensionless form. [Display omitted] •Stresses in square hoppers have been modelled.•Principal stress cap approach is easy-to-use and visual model.•The model has been fitted to 2 sources of experimental data.•The data and the model show regions of exponential stress.•Horizontal variations in wall normal stress are seen.
ISSN:0032-5910
1873-328X
DOI:10.1016/j.powtec.2022.117983