Details
Original language | English |
---|---|
Article number | 103076 |
Journal | Theoretical and Applied Fracture Mechanics |
Volume | 115 |
Early online date | 18 Aug 2021 |
Publication status | Published - Oct 2021 |
Abstract
In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and numerical modeling with the help of variational phase-field fracture. Our main focus is the evolution of cracks in one-sided notched EPDM strips containing a circular hole. The crack propagation experiments are complemented with investigations identifying the mechanical material properties as well as the critical strain energy release rate. For simulating the evolution of cracks with a given notch, phase-field fracture modeling is a popular approach. To avoid volume-locking effects considering fractures in nearly incompressible materials, a quasi-static phase-field fracture model in its classical formulation is reformulated with the help of a mixed form of the solid-displacement equation. The newly established mixed phase-field fracture model is applied to simulate crack propagation in punctured EPDM strips by using the experimentally identified material parameters with mixed finite elements. To discuss agreements and point out challenges and differences, the crack paths, the maximal force response, the traverse displacement at the crack start, as well as force–displacement curves of the experimental and numerical results are compared.
Keywords
- EPDM rubber, Fatigue testing, Incompressibility, Material characterization, Mixed finite elements, Phase-field fracture
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: Theoretical and Applied Fracture Mechanics, Vol. 115, 103076, 10.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A mixed phase-field fracture model for crack propagation in punctured EPDM strips
AU - Mang, Katrin
AU - Fehse, Andreas
AU - Kröger, Nils Hendrik
AU - Wick, Thomas
N1 - Funding Information: The authors would like to thank Pénélope Barbery (student at ENSTA Bretagne, Brest) for her support in conducting some of the experiments during her internship at DIK. Further, the work has been supported by the German Research Foundation , Priority Program 1748 ( ID 392587580 , WI 4367/2-1 ).
PY - 2021/10
Y1 - 2021/10
N2 - In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and numerical modeling with the help of variational phase-field fracture. Our main focus is the evolution of cracks in one-sided notched EPDM strips containing a circular hole. The crack propagation experiments are complemented with investigations identifying the mechanical material properties as well as the critical strain energy release rate. For simulating the evolution of cracks with a given notch, phase-field fracture modeling is a popular approach. To avoid volume-locking effects considering fractures in nearly incompressible materials, a quasi-static phase-field fracture model in its classical formulation is reformulated with the help of a mixed form of the solid-displacement equation. The newly established mixed phase-field fracture model is applied to simulate crack propagation in punctured EPDM strips by using the experimentally identified material parameters with mixed finite elements. To discuss agreements and point out challenges and differences, the crack paths, the maximal force response, the traverse displacement at the crack start, as well as force–displacement curves of the experimental and numerical results are compared.
AB - In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and numerical modeling with the help of variational phase-field fracture. Our main focus is the evolution of cracks in one-sided notched EPDM strips containing a circular hole. The crack propagation experiments are complemented with investigations identifying the mechanical material properties as well as the critical strain energy release rate. For simulating the evolution of cracks with a given notch, phase-field fracture modeling is a popular approach. To avoid volume-locking effects considering fractures in nearly incompressible materials, a quasi-static phase-field fracture model in its classical formulation is reformulated with the help of a mixed form of the solid-displacement equation. The newly established mixed phase-field fracture model is applied to simulate crack propagation in punctured EPDM strips by using the experimentally identified material parameters with mixed finite elements. To discuss agreements and point out challenges and differences, the crack paths, the maximal force response, the traverse displacement at the crack start, as well as force–displacement curves of the experimental and numerical results are compared.
KW - EPDM rubber
KW - Fatigue testing
KW - Incompressibility
KW - Material characterization
KW - Mixed finite elements
KW - Phase-field fracture
UR - http://www.scopus.com/inward/record.url?scp=85113579708&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2021.103076
DO - 10.1016/j.tafmec.2021.103076
M3 - Article
AN - SCOPUS:85113579708
VL - 115
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
M1 - 103076
ER -