A Phase-Field Approach to Pneumatic Fracture

C. Bilgen; A. Kopaničáková; R. Krause; K. Weinberg

doi:10.1007/978-3-030-92672-4_9

A Phase-Field Approach to Pneumatic Fracture

C. Bilgen, A. Kopaničáková, R. Krause, K. Weinberg^*

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

Phase-field models have been proven to be reliable methods for the simulation of complex crack patterns and crack propagation. In this contribution we investigate the phase-field model in linear and finite elasticity and summarize the influences of model specific parameters. Furthermore, externally driven fracture processes, in particular in the context of pneumatic fracture, are examined in detail. The focus is on fracture induced by pressure and anisotropic crack growth. Besides the modeling, the solution process is analyzed by applying multilevel methods. Within a series of parametric studies and numerical examples the versatility of phase-field models is demonstrated.

Original language	English (US)
Title of host publication	Lecture Notes in Applied and Computational Mechanics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	217-241
Number of pages	25
DOIs	https://doi.org/10.1007/978-3-030-92672-4_9
State	Published - 2022

Publication series

Name	Lecture Notes in Applied and Computational Mechanics
Volume	98
ISSN (Print)	1613-7736
ISSN (Electronic)	1860-0816

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

ASJC Scopus subject areas

Mechanical Engineering
Computational Theory and Mathematics

Access to Document

10.1007/978-3-030-92672-4_9

Cite this

@inbook{24f2eae4894942f89ba46a721d28375e,

title = "A Phase-Field Approach to Pneumatic Fracture",

abstract = "Phase-field models have been proven to be reliable methods for the simulation of complex crack patterns and crack propagation. In this contribution we investigate the phase-field model in linear and finite elasticity and summarize the influences of model specific parameters. Furthermore, externally driven fracture processes, in particular in the context of pneumatic fracture, are examined in detail. The focus is on fracture induced by pressure and anisotropic crack growth. Besides the modeling, the solution process is analyzed by applying multilevel methods. Within a series of parametric studies and numerical examples the versatility of phase-field models is demonstrated.",

author = "C. Bilgen and A. Kopani{\v c}{\'a}kov{\'a} and R. Krause and K. Weinberg",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2022",

doi = "10.1007/978-3-030-92672-4_9",

language = "English (US)",

series = "Lecture Notes in Applied and Computational Mechanics",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "217--241",

booktitle = "Lecture Notes in Applied and Computational Mechanics",

address = "Germany",

}

A Phase-Field Approach to Pneumatic Fracture. / Bilgen, C.; Kopaničáková, A.; Krause, R. et al.
Lecture Notes in Applied and Computational Mechanics. Springer Science and Business Media Deutschland GmbH, 2022. p. 217-241 (Lecture Notes in Applied and Computational Mechanics; Vol. 98).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - A Phase-Field Approach to Pneumatic Fracture

AU - Bilgen, C.

AU - Kopaničáková, A.

AU - Krause, R.

AU - Weinberg, K.

PY - 2022

Y1 - 2022

N2 - Phase-field models have been proven to be reliable methods for the simulation of complex crack patterns and crack propagation. In this contribution we investigate the phase-field model in linear and finite elasticity and summarize the influences of model specific parameters. Furthermore, externally driven fracture processes, in particular in the context of pneumatic fracture, are examined in detail. The focus is on fracture induced by pressure and anisotropic crack growth. Besides the modeling, the solution process is analyzed by applying multilevel methods. Within a series of parametric studies and numerical examples the versatility of phase-field models is demonstrated.

AB - Phase-field models have been proven to be reliable methods for the simulation of complex crack patterns and crack propagation. In this contribution we investigate the phase-field model in linear and finite elasticity and summarize the influences of model specific parameters. Furthermore, externally driven fracture processes, in particular in the context of pneumatic fracture, are examined in detail. The focus is on fracture induced by pressure and anisotropic crack growth. Besides the modeling, the solution process is analyzed by applying multilevel methods. Within a series of parametric studies and numerical examples the versatility of phase-field models is demonstrated.

UR - http://www.scopus.com/inward/record.url?scp=85128663786&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-92672-4_9

DO - 10.1007/978-3-030-92672-4_9

M3 - Chapter

AN - SCOPUS:85128663786

T3 - Lecture Notes in Applied and Computational Mechanics

SP - 217

EP - 241

BT - Lecture Notes in Applied and Computational Mechanics

PB - Springer Science and Business Media Deutschland GmbH

ER -

A Phase-Field Approach to Pneumatic Fracture

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this