Details
| Original language | English |
|---|---|
| Title of host publication | Non-standard Discretisation Methods in Solid Mechanics |
| Place of Publication | Cham |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 191-215 |
| Number of pages | 25 |
| ISBN (electronic) | 978-3-030-92672-4 |
| ISBN (print) | 978-3-030-92671-7 |
| Publication status | Published - 15 Apr 2022 |
Publication series
| Name | Lecture Notes in Applied and Computational Mechanics |
|---|---|
| Volume | 98 |
| ISSN (Print) | 1613-7736 |
| ISSN (electronic) | 1860-0816 |
Abstract
Keywords
- math.NA, cs.NA
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
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Non-standard Discretisation Methods in Solid Mechanics. Cham: Springer Science and Business Media Deutschland GmbH, 2022. p. 191-215 (Lecture Notes in Applied and Computational Mechanics; Vol. 98).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
AU - Basava, Seshadri
AU - Mang, Katrin
AU - Walloth, Mirjam
AU - Wick, Thomas
AU - Wollner, Winnifried
N1 - Funding Information: Acknowledgements Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Projektnummer 392587580—SPP 1748.
PY - 2022/4/15
Y1 - 2022/4/15
N2 - In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a residual-type error estimator is developed. Our algorithmic advancements are substantiated with several numerical tests that are inspired from benchmark configurations. Therein, a primal-based formulation is compared to our newly developed mixed phase-field fracture method for Poisson ratios approaching \(\nu \to 0.5\). Finally, for \(\nu = 0.5\), we compare the numerical results of the mixed formulation with a pressure robust modification.
AB - In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a residual-type error estimator is developed. Our algorithmic advancements are substantiated with several numerical tests that are inspired from benchmark configurations. Therein, a primal-based formulation is compared to our newly developed mixed phase-field fracture method for Poisson ratios approaching \(\nu \to 0.5\). Finally, for \(\nu = 0.5\), we compare the numerical results of the mixed formulation with a pressure robust modification.
KW - math.NA
KW - cs.NA
UR - http://www.scopus.com/inward/record.url?scp=85128680645&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-92672-4_8
DO - 10.1007/978-3-030-92672-4_8
M3 - Contribution to book/anthology
SN - 978-3-030-92671-7
T3 - Lecture Notes in Applied and Computational Mechanics
SP - 191
EP - 215
BT - Non-standard Discretisation Methods in Solid Mechanics
PB - Springer Science and Business Media Deutschland GmbH
CY - Cham
ER -