Details
| Original language | English |
|---|---|
| Title of host publication | Numerical Mathematics and Advanced Applications ENUMATH 2015 |
| Editors | Murat Manguoglu, Bulent Karasozen, Munevver Tezer-Sezgin, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Omur Ugur, Serdar Goktepe, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Bulent Karasozen, Bulent Karasozen, Serdar Goktepe, Serdar Goktepe |
| Publisher | Springer Verlag |
| Pages | 195-203 |
| Number of pages | 9 |
| ISBN (print) | 9783319399270, 9783319399270, 9783319399270 |
| Publication status | Published - 2016 |
| Externally published | Yes |
| Event | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015 - Ankara, Turkey Duration: 14 Sept 2015 → 18 Sept 2015 |
Publication series
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Volume | 112 |
| ISSN (Print) | 1439-7358 |
Abstract
In this work, we introduce discontinuous Galerkin and enriched Galerkin formulations for the spatial discretization of phase-field fracture propagation. The nonlinear coupled system is formulated in terms of the Euler-Lagrange equations, which are subject to a crack irreversibility condition. The resulting variational inequality is solved in a quasi-monolithic way in which the irreversibility condition is incorporated with the help of an augmented Lagrangian technique. The relaxed nonlinear system is treated with Newton’s method. Numerical results complete the present study.
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- General Engineering
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Control and Optimization
- Mathematics(all)
- Computational Mathematics
Cite this
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- Apa
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Numerical Mathematics and Advanced Applications ENUMATH 2015. ed. / Murat Manguoglu; Bulent Karasozen; Munevver Tezer-Sezgin; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Omur Ugur; Serdar Goktepe; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Bulent Karasozen; Bulent Karasozen; Serdar Goktepe; Serdar Goktepe. Springer Verlag, 2016. p. 195-203 (Lecture Notes in Computational Science and Engineering; Vol. 112).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity
AU - Mital, Prashant
AU - Wick, Thomas
AU - Wheeler, Mary F.
AU - Pencheva, Gergina
N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016
Y1 - 2016
N2 - In this work, we introduce discontinuous Galerkin and enriched Galerkin formulations for the spatial discretization of phase-field fracture propagation. The nonlinear coupled system is formulated in terms of the Euler-Lagrange equations, which are subject to a crack irreversibility condition. The resulting variational inequality is solved in a quasi-monolithic way in which the irreversibility condition is incorporated with the help of an augmented Lagrangian technique. The relaxed nonlinear system is treated with Newton’s method. Numerical results complete the present study.
AB - In this work, we introduce discontinuous Galerkin and enriched Galerkin formulations for the spatial discretization of phase-field fracture propagation. The nonlinear coupled system is formulated in terms of the Euler-Lagrange equations, which are subject to a crack irreversibility condition. The resulting variational inequality is solved in a quasi-monolithic way in which the irreversibility condition is incorporated with the help of an augmented Lagrangian technique. The relaxed nonlinear system is treated with Newton’s method. Numerical results complete the present study.
UR - http://www.scopus.com/inward/record.url?scp=84998842335&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-39929-4_20
DO - 10.1007/978-3-319-39929-4_20
M3 - Conference contribution
AN - SCOPUS:84998842335
SN - 9783319399270
SN - 9783319399270
SN - 9783319399270
T3 - Lecture Notes in Computational Science and Engineering
SP - 195
EP - 203
BT - Numerical Mathematics and Advanced Applications ENUMATH 2015
A2 - Manguoglu, Murat
A2 - Karasozen, Bulent
A2 - Tezer-Sezgin, Munevver
A2 - Ugur, Omur
A2 - Tezer-Sezgin, Munevver
A2 - Manguoglu, Murat
A2 - Ugur, Omur
A2 - Goktepe, Serdar
A2 - Ugur, Omur
A2 - Tezer-Sezgin, Munevver
A2 - Manguoglu, Murat
A2 - Karasozen, Bulent
A2 - Karasozen, Bulent
A2 - Goktepe, Serdar
A2 - Goktepe, Serdar
PB - Springer Verlag
T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015
Y2 - 14 September 2015 through 18 September 2015
ER -