An Approximate Stress Distribution in a Conical Heap of Jammed Dry Granular Material

This paper develops an approximate stress distribution in a conical heap of jammed dry granular material loaded by gravity. An Eulerian formulation of elastic-inelastic response is used to explain why the residual stresses in the heap can be approximated by the current state of stress in the materia...

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Bibliographic Details
Published in:Journal of elasticity 2024, Vol.156 (2), p.355-363
Main Author: Rubin, M. B.
Format: Article
Language:English
Subjects:
Angle of repose
Biomechanics
Classical and Continuum Physics
Classical Mechanics
Engineering
Granular materials
Materials Science
Mathematical Applications in the Physical Sciences
Residual stress
Stress distribution
Theoretical and Applied Mechanics
Vertical distribution
Vertical loads
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Summary:This paper develops an approximate stress distribution in a conical heap of jammed dry granular material loaded by gravity. An Eulerian formulation of elastic-inelastic response is used to explain why the residual stresses in the heap can be approximated by the current state of stress in the material. The proposed normalized stress components are functions of the normalized radial and vertical coordinates and are parameterized by only the angle of repose. It is shown that the vertical stress distribution applied to the base of the heap compares well with experiments using a rain procedure for sand deposition.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-024-10054-z