About: Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod

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About: Tangent Modulus in Numerical Integration of Constitutive Relations and its Influence on Convergence of N-R Metod Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
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 (en)
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 (en)
skos:notation	RIV/61989100:27230/09:00020337!RIV10-MSM-27230___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Poruba, Zdeněk Halama, Radim
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta strojní
http://linked.open...dnocenehoVysledku	345367
http://linked.open...ai/riv/idVysledku	RIV/61989100:27230/09:00020337
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	FEM; implicit stress integration; consistent tangent modulus; Newton-Raphson method (en)
http://linked.open.../riv/klicoveSlovo	Newton-Raphson method FEM consistent tangent modulus implicit stress integration
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[B9B29D3E343F]
http://linked.open...i/riv/nazevZdroje	Applied and Computational Mechanics
http://linked.open...in/vavai/riv/obor	JR
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	3
http://linked.open...iv/tvurceVysledku	Halama, Radim Poruba, Zdeněk
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	1802-680X
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	27230

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