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)
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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.
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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.",
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