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An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models

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2021
2021_VB_NO_MV_SJ.pdf (465.5Kb)
Authors
Obradović, Nikola
Vukićević, Mirjana
Jocković, Sanja
Conference object (Published version)
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Abstract
U radu je dat pregled metoda za numeričku integraciju relacija elasto-plastičnih konstitutivnih modela za tlo. Prikazan je inkrementalno-iterativan postupak proračuna metodom konačnih elemenata, sa osvrtom na značajan uticaj algoritama za integraciju konstitutivnih relacija na tačnost određivanja naponsko-deformacijskih veličina definisanih modelom. Dat je pregled metoda integracije sa opštom podelom na implicitne i eksplicitne metode. Detaljnije je prikazan algoritam za tri odabrane metode koje se mogu primeniti na elasto-plastične modele za tlo sa ocenom ispunjenosti zahteva pouzdanosti, tačnosti i efikasnosti: metodu vodećeg parametra, metodu povratnog preslikavanja i “substepping“ metodu.
A brief overview of methods for numerical integration of stress-strain relations of elastoplastic constitutive models for soil is presented. Firstly, incremental-iterative procedure for finite element method is described with emphasis on the importance of algorithms for numerical integration of constitutive relations. A review of explicit and implicit methods is given. A more detailed assessment of fulfillment of the requirements of reliability, accuracy and efficiency is given for three methods: governing parameter method, return mapping algorithm and substepping algorithm.
Keywords:
soil constitutive modeling / governing parameter method / return mapping algorithm / substepping algorithm
Source:
Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering, 2021, 548-557
Funding / projects:
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200092 (University of Belgrade, Faculty of Civil Engineering) (RS-200092)

ISBN: 978-86-88897-15-0

[ Google Scholar ]
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2439
Collections
  • Катедра за грађевинску геотехнику
  • Radovi istraživača / Researcher's publications
Institution/Community
GraFar
TY  - CONF
AU  - Obradović, Nikola
AU  - Vukićević, Mirjana
AU  - Jocković, Sanja
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2439
AB  - U radu je dat pregled metoda za numeričku integraciju relacija elasto-plastičnih
konstitutivnih modela za tlo. Prikazan je inkrementalno-iterativan postupak proračuna
metodom konačnih elemenata, sa osvrtom na značajan uticaj algoritama za integraciju
konstitutivnih relacija na tačnost određivanja naponsko-deformacijskih veličina definisanih
modelom. Dat je pregled metoda integracije sa opštom podelom na implicitne i eksplicitne
metode. Detaljnije je prikazan algoritam za tri odabrane metode koje se mogu primeniti na
elasto-plastične modele za tlo sa ocenom ispunjenosti zahteva pouzdanosti, tačnosti i
efikasnosti: metodu vodećeg parametra, metodu povratnog preslikavanja i “substepping“
metodu.
AB  - A brief overview of methods for numerical integration of stress-strain relations of elastoplastic
constitutive models for soil is presented. Firstly, incremental-iterative procedure for
finite element method is described with emphasis on the importance of algorithms for
numerical integration of constitutive relations. A review of explicit and implicit methods is
given. A more detailed assessment of fulfillment of the requirements of reliability, accuracy
and efficiency is given for three methods: governing parameter method, return mapping
algorithm and substepping algorithm.
C3  - Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering
T1  - An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models
EP  - 557
SP  - 548
ER  - 
@conference{
author = "Obradović, Nikola and Vukićević, Mirjana and Jocković, Sanja",
year = "2021",
abstract = "U radu je dat pregled metoda za numeričku integraciju relacija elasto-plastičnih
konstitutivnih modela za tlo. Prikazan je inkrementalno-iterativan postupak proračuna
metodom konačnih elemenata, sa osvrtom na značajan uticaj algoritama za integraciju
konstitutivnih relacija na tačnost određivanja naponsko-deformacijskih veličina definisanih
modelom. Dat je pregled metoda integracije sa opštom podelom na implicitne i eksplicitne
metode. Detaljnije je prikazan algoritam za tri odabrane metode koje se mogu primeniti na
elasto-plastične modele za tlo sa ocenom ispunjenosti zahteva pouzdanosti, tačnosti i
efikasnosti: metodu vodećeg parametra, metodu povratnog preslikavanja i “substepping“
metodu., A brief overview of methods for numerical integration of stress-strain relations of elastoplastic
constitutive models for soil is presented. Firstly, incremental-iterative procedure for
finite element method is described with emphasis on the importance of algorithms for
numerical integration of constitutive relations. A review of explicit and implicit methods is
given. A more detailed assessment of fulfillment of the requirements of reliability, accuracy
and efficiency is given for three methods: governing parameter method, return mapping
algorithm and substepping algorithm.",
journal = "Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering",
title = "An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models",
pages = "557-548"
}
Obradović, N., Vukićević, M.,& Jocković, S.. (2021). An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models. in Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering, 548-557.
Obradović N, Vukićević M, Jocković S. An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models. in Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering. 2021;:548-557..
Obradović, Nikola, Vukićević, Mirjana, Jocković, Sanja, "An evaluation of methods for numerical integration of constitutive relations of elasto-plastic soil models" in Proceedings International Scientific Conference Earthquake Engineering and Geotechnical aspects of Civil Engineering (2021):548-557.

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