On the optimal profile of a slope

S. Utili, R. Nova

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The problem of determining the best profile for a c, φ soil slope is tackled, with reference to rigid rotational failure mechanisms. By means of limit analysis, upper bound values of collapse load are determined. A new mathematical function is derived to compute the external work made by the weight of a double spiral shaped soil region sliding away. It is found that a log spiral front is associated with a larger safety factor than a planar one. The obtained results may also explain the log-spiral shape of perimeter walls of some typical Japanese castles.
LanguageEnglish
Pages717-731
Number of pages14
JournalSoils and foundations
Volume47
Issue number4
Publication statusPublished - Aug 2007

Fingerprint

Soils
limit analysis
Safety factor
failure mechanism
sliding
soil
safety

Keywords

  • cohesive-frictional materials
  • limit analysis
  • optimization
  • slope stability
  • upper bound
  • civil engineering

Cite this

Utili, S., & Nova, R. (2007). On the optimal profile of a slope. Soils and foundations, 47(4), 717-731.
Utili, S. ; Nova, R. / On the optimal profile of a slope. In: Soils and foundations. 2007 ; Vol. 47, No. 4. pp. 717-731.
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Utili, S & Nova, R 2007, 'On the optimal profile of a slope' Soils and foundations, vol. 47, no. 4, pp. 717-731.

On the optimal profile of a slope. / Utili, S.; Nova, R.

In: Soils and foundations, Vol. 47, No. 4, 08.2007, p. 717-731.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the optimal profile of a slope

AU - Utili, S.

AU - Nova, R.

PY - 2007/8

Y1 - 2007/8

N2 - The problem of determining the best profile for a c, φ soil slope is tackled, with reference to rigid rotational failure mechanisms. By means of limit analysis, upper bound values of collapse load are determined. A new mathematical function is derived to compute the external work made by the weight of a double spiral shaped soil region sliding away. It is found that a log spiral front is associated with a larger safety factor than a planar one. The obtained results may also explain the log-spiral shape of perimeter walls of some typical Japanese castles.

AB - The problem of determining the best profile for a c, φ soil slope is tackled, with reference to rigid rotational failure mechanisms. By means of limit analysis, upper bound values of collapse load are determined. A new mathematical function is derived to compute the external work made by the weight of a double spiral shaped soil region sliding away. It is found that a log spiral front is associated with a larger safety factor than a planar one. The obtained results may also explain the log-spiral shape of perimeter walls of some typical Japanese castles.

KW - cohesive-frictional materials

KW - limit analysis

KW - optimization

KW - slope stability

KW - upper bound

KW - civil engineering

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T2 - Soils and foundations

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Utili S, Nova R. On the optimal profile of a slope. Soils and foundations. 2007 Aug;47(4):717-731.