Analytical investigation on formation conditions of a stress-free surface in particles of a homogeneous cohesionless medium in trapdoor test

Document Type : Original Article

Authors

1 Civil Engineering Department, Faculty of Engineering, Islamic Azad University South Tehran Branch, Tehran, Iran

2 Faculty of Engineering. Islamic Azad University South Tehran Branch. Tehran, Iran

Abstract

The study of arching as the transfer of pressure or the formation of an arch-shaped zone in materials is consistently one of the concepts discussed in geotechnical engineering. Arching takes place as a result of the mobilization of shear strength due to the frictional interaction among the grains when a part of the medium particles is moving relative to others. The trapdoor test is a common approach to investigate arching characteristics. Due to the lack of theoretical solutions for accurate prediction of the geometric properties of the arch region, in the current study, an analytical model is proposed to capture the formation of a stress-free surface in noncohesive particles such as dry gravel and sand. The research is based on establishing the mathematical relations governing the problem and solving the system of the partial differential equations. The proposed solutions are a function of the internal friction angle of grains, the inclination angle of the base plate and the angle of the stagnant mass inside the test box. The analytical formulas are efficiently used for the estimation of the geometric shape of a stable arch. Finally, the outputs of the proposed solutions are validated according to the results of some experimental studies.

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Asas Journal
Volume 24, Issue 67
Summer 2022
September 2022

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History

  • Receive Date: 22 August 2021
  • Revise Date: 06 April 2022
  • Accept Date: 01 May 2022

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