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Statements

Subject Item
n2:RIV%2F61989100%3A27230%2F09%3A00020337%21RIV10-MSM-27230___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
For the numerical solution of elasto-plastic problems with use of Newton-Raphson method in global equilibrium equation it is necessary to determine the tangent modulus in each integration point. To reach the parabolic convergence of Newton-Raphson method it is convenient to use so called algorithmic tangent modulus which is consistent with used integration scheme. For more simple models for example Chaboche combined hardening model it is possible to determine it in analytical way. In case of more robust macroscopic models it is in many cases necessary to use the approximation approach. This possibility is presented in this contribution for radial return method on Chaboche model. An example solved in software Ansys corresponds to line contact problem with assumption of Coulomb?s friction. The study shows at the end that the number of iteration of N-R method is higher in case of continuum tangent modulus and many times higher with use of modified N-R method, initial stiffness method. For the numerical solution of elasto-plastic problems with use of Newton-Raphson method in global equilibrium equation it is necessary to determine the tangent modulus in each integration point. To reach the parabolic convergence of Newton-Raphson method it is convenient to use so called algorithmic tangent modulus which is consistent with used integration scheme. For more simple models for example Chaboche combined hardening model it is possible to determine it in analytical way. In case of more robust macroscopic models it is in many cases necessary to use the approximation approach. This possibility is presented in this contribution for radial return method on Chaboche model. An example solved in software Ansys corresponds to line contact problem with assumption of Coulomb?s friction. The study shows at the end that the number of iteration of N-R method is higher in case of continuum tangent modulus and many times higher with use of modified N-R method, initial stiffness method.
dcterms:title
Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod
skos:prefLabel
Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod
skos:notation
RIV/61989100:27230/09:00020337!RIV10-MSM-27230___
n3:aktivita
n14:Z
n3:aktivity
Z(MSM6198910027)
n3:cisloPeriodika
1
n3:dodaniDat
n6:2010
n3:domaciTvurceVysledku
n5:5047854 n5:6736084
n3:druhVysledku
n4:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
345367
n3:idVysledku
RIV/61989100:27230/09:00020337
n3:jazykVysledku
n17:eng
n3:klicovaSlova
FEM; implicit stress integration; consistent tangent modulus; Newton-Raphson method
n3:klicoveSlovo
n12:Newton-Raphson%20method n12:consistent%20tangent%20modulus n12:FEM n12:implicit%20stress%20integration
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[B9B29D3E343F]
n3:nazevZdroje
Applied and Computational Mechanics
n3:obor
n10:JR
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n6:2009
n3:svazekPeriodika
3
n3:tvurceVysledku
Halama, Radim Poruba, Zdeněk
n3:zamer
n13:MSM6198910027
s:issn
1802-680X
s:numberOfPages
12
n8:organizacniJednotka
27230