TY - GEN
T1 - Application of an implicit and explicit integration rules
AU - Yang, Yunming
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=84859984838&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84859984838
SN - 9780415612982
T3 - Geomechanics and Geotechnics: From Micro to Macro - Proceedings of the International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
SP - 855
EP - 862
BT - Geomechanics and Geotechnics
T2 - International Symposium on Geomechanics and Geotechnics: From Micro to Macro, IS-Shanghai 2010
Y2 - 10 October 2010 through 12 October 2010
ER -