A mixed phase-field fracture model for crack propagation in punctured EPDM strips

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Katrin Mang
  • Andreas Fehse
  • Nils Hendrik Kröger
  • Thomas Wick

Research Organisations

External Research Organisations

  • German Institute of Rubber Technology (DIK e.V.)
  • Material Prediction GmbH
  • École normale supérieure Paris-Saclay (ENS Paris-Saclay)
View graph of relations

Details

Original languageEnglish
Article number103076
JournalTheoretical and Applied Fracture Mechanics
Volume115
Early online date18 Aug 2021
Publication statusPublished - 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

Cite this

A mixed phase-field fracture model for crack propagation in punctured EPDM strips. / Mang, Katrin; Fehse, Andreas; Kröger, Nils Hendrik et al.
In: Theoretical and Applied Fracture Mechanics, Vol. 115, 103076, 10.2021.

Research output: Contribution to journalArticleResearchpeer review

Mang K, Fehse A, Kröger NH, Wick T. A mixed phase-field fracture model for crack propagation in punctured EPDM strips. Theoretical and Applied Fracture Mechanics. 2021 Oct;115:103076. Epub 2021 Aug 18. doi: 10.1016/j.tafmec.2021.103076
Mang, Katrin ; Fehse, Andreas ; Kröger, Nils Hendrik et al. / A mixed phase-field fracture model for crack propagation in punctured EPDM strips. In: Theoretical and Applied Fracture Mechanics. 2021 ; Vol. 115.
Download
@article{1ddf2447569e4e5baa2fd81d62e191a8,
title = "A mixed phase-field fracture model for crack propagation in punctured EPDM strips",
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",
author = "Katrin Mang and Andreas Fehse and Kr{\"o}ger, {Nils Hendrik} and Thomas Wick",
note = "Funding Information: The authors would like to thank P{\'e}n{\'e}lope 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 ).",
year = "2021",
month = oct,
doi = "10.1016/j.tafmec.2021.103076",
language = "English",
volume = "115",
journal = "Theoretical and Applied Fracture Mechanics",
issn = "0167-8442",
publisher = "Elsevier",

}

Download

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 -