Bearing capacity factors of cone-shaped footing in meshfree

Ty Phuor, Avshalom Ganz, Pavel A. Trapper

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Unlike the flat base foundations, the determination of the bearing resistance of the cone-shaped footing in finite element analysis (FEA) might not be carried out without considering the interface model. In addition, the simulations of the FEA is hardly achieved with a large system due to the assembly technique. So, the alternative should be considered. Therefore, this paper proposes a new method for computing the (Formula presented.), (Formula presented.) and (Formula presented.) factors of the bearing capacity of the rough and smooth cone-shaped foundations by combining the skew boundary condition as the interface model incorporated with the viscoplastic strain method-based meshfree obeying the yield equation of the Mohr-Coulomb (MC). Thus, the factors can be determined exclusively and reported to reach a close agreement with the published data; nevertheless, the discrepancies are also provided. The plastic flow of the soil mechanics is discussed thoroughly. In addition, the effects of soil friction angle (ϕ) and cone-shaped angle (β) on the factors are inspected systematically. Accordingly, the conservation of the Terzaghi's superposition assumption is confirmed, and the bearing capacity factor charts can be established for various combinations of (Formula presented.) 5o – 45o and (Formula presented.) 30o – 180o. Therefore, it may conclude that the results produced by these techniques and the techniques themselves may be applied confidently for solving geotechnical problems, especially for computing the bearing resistance of the soil.

Original languageEnglish
Pages (from-to)275-298
Number of pages24
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number2
StatePublished - 10 Feb 2023


  • bearing capacity factors
  • cone-shaped footing (spudcan)
  • interface model
  • jackup
  • meshfree (element by element)
  • skew boundary condition


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