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Use of a non-associated flow rule for determining the stability of a vertical circular excavation

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Abstract

An axisymmetric lower bound limit analysis technique in combination with the finite elements has been used to investigate the effect of considering a non-associated flow rule on the stability number (γH/c) for a vertical circular unsupported excavation in a general cohesive–frictional soil medium, where (1) H is the excavation height, (2) γ defines the unit weight of the soil mass, and (3) c indicates the cohesion of the soil mass. The results are derived for different magnitudes of dilative coefficient (η), friction angle (ϕ), and normalized excavation height (H/b), where b = the radius of the excavation. The results clearly indicate the increase in γH/c with an increase in η value. It is expected that the charts provided in this note will be quite helpful for the practicing engineers.

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721302, India

    Debarghya Chakraborty

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  1. Debarghya Chakraborty
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Correspondence to Debarghya Chakraborty.

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Chakraborty, D. Use of a non-associated flow rule for determining the stability of a vertical circular excavation. Acta Geotech. 14, 247–252 (2019). https://doi.org/10.1007/s11440-018-0633-x

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  • DOI: https://doi.org/10.1007/s11440-018-0633-x

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