A DAE approach for solving the elasto-plastic boundary value problem
(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:
https://lup.lub.lu.se/record/3164326
- author
- Wallin, Mathias LU and Borgqvist, Eric LU
- organization
- publishing date
- 2012
- 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}}, }