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Probabilistic elastic-plastic cam clay response of soils

  • California State University Fresno

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This study uses Cam Clay model to investigate the influence of uncertainties in soil properties on simulated undrained triaxial constitutive response. To this end, recently developed Fokker-Planck-Kolmogorov (FPK) equation approach to probabilistic elasto-plasticity is employed. The most general form of the three dimensional elastic-plastic constitutive rate equation is written in probability density space, resulting in a multi-dimensional FPK equation. The resultant FPK equation is specialized to undrained stress path. Given the second order statistics of the uncertainties in soil properties and assuming Cam Clay elastic-perfectly plastic constitutive model, the specialized FPK equations are solved to obtain second order accurate evolutionary (with pseudotime/ strain) joint probability density function of the stress response. Marginal statistics - marginal probability density function, marginal mean, and marginal standard deviation - of the stress components are then obtained from the multivariate probability density function using standard integration techniques.

Original languageEnglish
Title of host publicationProceedings of the 2nd World Congress on Civil, Structural, and Environmental Engineering, CSEE 2017
PublisherAvestia Publishing
ISBN (Print)9781927877296
DOIs
StatePublished - 2017
EventProceedings of the 2nd World Congress on Civil, Structural, and Environmental Engineering, CSEE 2017 - Barcelona, Spain
Duration: Apr 2 2017Apr 4 2017

Publication series

NameWorld Congress on Civil, Structural, and Environmental Engineering
ISSN (Electronic)2371-5294

Conference

ConferenceProceedings of the 2nd World Congress on Civil, Structural, and Environmental Engineering, CSEE 2017
Country/TerritorySpain
CityBarcelona
Period04/2/1704/4/17

Keywords

  • Cam clay model
  • Elasto-plasticity
  • Fokker-planck-kolmogorov equation
  • Soils
  • Uncertainty

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