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A DAE approach for solving the elasto-plastic boundary value problem

Wallin, Mathias LU and Borgqvist, Eric LU (2012) Nordic Seminar On Computional Mechanics
Abstract
In this study an alternative integration scheme for elasto-plasticity based on a Diagonal Implicit Runge-Kutta (DIRK) scheme originally proposed by Ellsiepen (1999) is investigated. In contrast to clasical approaches, the DIRK scheme is applied to the balance of momentum as well as the constitutive evolution equations. The presented numerical algorithm is applied to an elastoplastic

bounadry value problem and the examples reveal that a significant increase in accuracy can be obtained at virtually no cost using the DIRK scheme.
Please use this url to cite or link to this publication:
author
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organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
Differential Algebraic Equation, DAE, DIRK, Elasto-Plasticity, Finite strains, Damage
conference name
Nordic Seminar On Computional Mechanics
conference location
Helsingfors, Finland
conference dates
2011-11-03 - 2011-11-04
language
English
LU publication?
yes
id
1d04fbd1-3fb9-4ebd-be4a-bb52545aca6e (old id 3164326)
date added to LUP
2016-04-04 14:15:32
date last changed
2018-11-21 21:19:14
@misc{1d04fbd1-3fb9-4ebd-be4a-bb52545aca6e,
  abstract     = {{In this study an alternative integration scheme for elasto-plasticity based on a Diagonal Implicit Runge-Kutta (DIRK) scheme originally proposed by Ellsiepen (1999) is investigated. In contrast to clasical approaches, the DIRK scheme is applied to the balance of momentum as well as the constitutive evolution equations. The presented numerical algorithm is applied to an elastoplastic<br/><br>
bounadry value problem and the examples reveal that a significant increase in accuracy can be obtained at virtually no cost using the DIRK scheme.}},
  author       = {{Wallin, Mathias and Borgqvist, Eric}},
  keywords     = {{Differential Algebraic Equation; DAE; DIRK; Elasto-Plasticity; Finite strains; Damage}},
  language     = {{eng}},
  title        = {{A DAE approach for solving the elasto-plastic boundary value problem}},
  year         = {{2012}},
}