Acta Geotechnica

, Volume 14, Issue 1, pp 247–252 | Cite as

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

  • Debarghya ChakrabortyEmail author
Short Communication


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.


Circular excavation Limit analysis Non-associated flow rule Optimization Plasticity 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of Technology KharagpurKharagpurIndia

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