Application of an implicit and explicit integration rules

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

Abstract

This paper concerns the application of the generalized trapezoidal implicit integration rule and the automatic substepping explicit integration rule. By varying the value of á, the generalized trapezoidal rule (e.g. Δε p = λ[(1 - á)R n + áR n+1]) represents a few commonly used integration schemes. It is applied to an advanced bounding surface type of sand model. Its performance including convergence and integration accuracy, with various values of á, is investigated by using both consistent and continuum tangent stiffness operators. The automatic substepping explicit integration rule is characterized with robustness, and its robustness is demonstrated in a finite element analysis of footing behavior by using extraordinarily large loading increments. Its application to the yield vertex non-coaxial model is also discussed.

Original languageEnglish
Title of host publicationGeomechanics and Geotechnics
Subtitle of host publicationFrom Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Pages855-862
Number of pages8
Publication statusPublished - 2011
Externally publishedYes
EventInternational Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010 - Shanghai, China
Duration: 10 Oct 201012 Oct 2010

Publication series

NameGeomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Volume2

Conference

ConferenceInternational Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Country/TerritoryChina
CityShanghai
Period10/10/1012/10/10

Keywords

  • Constitutive models
  • Finite element analysis
  • Numerical integration

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

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