Linearized integration technique for incremental constitutive equations

Jean-Pierre Bardet, W. Choucair

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A numerical technique is proposed to obtain stress-strain response curves from rate-type and incremental constitutive equations during generalized loadings. The proposed method linearizes the loading constraints of laboratory experiments, links them to the constitutive relations, and forms a linear system of ordinary differential equations. It circumvents the difficulties associated with the non-uniqueness and bifurcation of boundary value problems. The method is illustrated for the elastoplastic von Mises and Roscoe and Burland models subjected to torsion, circular stress path, and undrained triaxial compression. The approach pertains to most stress-strain relationships and laboratory experiments of geomechanics. It is useful for research on material modelling, engineering practice and computational mechanics.

Original languageEnglish (US)
Pages (from-to)1-19
Number of pages19
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume15
Issue number1
StatePublished - Jan 1991
Externally publishedYes

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constitutive equation
Constitutive equations
stress-strain relationship
geomechanics
torsion
bifurcation
Computational mechanics
mechanics
Geomechanics
Bifurcation (mathematics)
compression
Ordinary differential equations
engineering
Torsional stress
Boundary value problems
Linear systems
Experiments
modeling
laboratory experiment
method

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computational Mechanics
  • Mechanics of Materials
  • Materials Science(all)
  • Earth and Planetary Sciences(all)
  • Environmental Science(all)

Cite this

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