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

Mathias Wallin; Eric Borgqvist

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

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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.

Originalspråk	engelska
Status	Published - 2012
Evenemang	Nordic Seminar On Computional Mechanics - Helsingfors, Finland Varaktighet: 2011 nov. 3 → 2011 nov. 4

Konferens

Konferens	Nordic Seminar On Computional Mechanics
Land/Territorium	Finland
Ort	Helsingfors
Period	2011/11/03 → 2011/11/04

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@conference{1d04fbd13fb94ebdbe4abb52545aca6e,

title = "A DAE approach for solving the elasto-plastic boundary value problem",

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.",

keywords = "Differential Algebraic Equation, DAE, DIRK, Elasto-Plasticity, Finite strains, Damage",

author = "Mathias Wallin and Eric Borgqvist",

year = "2012",

language = "English",

note = "Nordic Seminar On Computional Mechanics ; Conference date: 03-11-2011 Through 04-11-2011",

}

TY - CONF

T1 - A DAE approach for solving the elasto-plastic boundary value problem

AU - Wallin, Mathias

AU - Borgqvist, Eric

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Differential Algebraic Equation

KW - DAE

KW - DIRK

KW - Elasto-Plasticity

KW - Finite strains

KW - Damage

M3 - Paper, not in proceeding

T2 - Nordic Seminar On Computional Mechanics

Y2 - 3 November 2011 through 4 November 2011

ER -

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

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