Application of an implicit and explicit integration rules

Yunming Yang

Application of an implicit and explicit integration rules

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Geomechanics and Geotechnics
Subtitle of host publication	From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Pages	855-862
Number of pages	8
Publication status	Published - 2011
Externally published	Yes
Event	International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010 - Shanghai, China Duration: 10 Oct 2010 → 12 Oct 2010

Publication series

Name	Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Volume	2

Conference

Conference	International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Country/Territory	China
City	Shanghai
Period	10/10/10 → 12/10/10

Keywords

Constitutive models
Finite element analysis
Numerical integration

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology

Cite this

Yang, Y. (2011). Application of an implicit and explicit integration rules. In Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010 (pp. 855-862). (Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010; Vol. 2).

Yang, Yunming. / Application of an implicit and explicit integration rules. Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010. 2011. pp. 855-862 (Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010).

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title = "Application of an implicit and explicit integration rules",

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 {\'a}, the generalized trapezoidal rule (e.g. Δε p = λ[(1 - {\'a})R n + {\'a}R 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 {\'a}, 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.",

keywords = "Constitutive models, Finite element analysis, Numerical integration",

author = "Yunming Yang",

note = "Copyright: Copyright 2012 Elsevier B.V., All rights reserved.; International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010 ; Conference date: 10-10-2010 Through 12-10-2010",

year = "2011",

language = "English",

isbn = "9780415612982",

series = "Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010",

pages = "855--862",

booktitle = "Geomechanics and Geotechnics",

}

Yang, Y 2011, Application of an implicit and explicit integration rules. in Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010. Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010, vol. 2, pp. 855-862, International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010, Shanghai, China, 10/10/10.

Application of an implicit and explicit integration rules. / Yang, Yunming.
Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010. 2011. p. 855-862 (Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010; Vol. 2).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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AB - 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.

KW - Constitutive models

KW - Finite element analysis

KW - Numerical integration

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Yang Y. Application of an implicit and explicit integration rules. In Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010. 2011. p. 855-862. (Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010).

Application of an implicit and explicit integration rules

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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