Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips

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OriginalspracheEnglisch
FachzeitschriftWorld Congress in Computational Mechanics and ECCOMAS Congress
Jahrgang2100
PublikationsstatusVeröffentlicht - 2021
Veranstaltung14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online
Dauer: 11 Jan. 202115 Jan. 2021

Abstract

We consider a monolithic phase-field description for fractures in nearly incompressible materials, i.e., carbon black filled ethylene propylene diene monomer rubber (EPDM). A quasi-static phase-field fracture problem is formulated in mixed form based on three different energy functionals (AT2, AT1 and Wu’s model) combined with two different stress splitting approaches (according to Miehe and Amor). It leads to six different phase-field fracture formulations in mixed form. The coupled variational inequality systems are solved in a quasi-monolithic manner with the help of a primal-dual active set method handling the inequality constraint. Further, adaptive mesh refinement is used to get a sharper crack zone. Numerical results based on the six different problem setups are validated on crack propagation experiments of punctured EPDM strips with five different test configurations. As a quantity of interest, the crack paths of experiments and numerical computations are discussed.

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Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips. / Mang, Katrin; Wick, Thomas.
in: World Congress in Computational Mechanics and ECCOMAS Congress, Jahrgang 2100, 2021.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Mang K, Wick T. Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips. World Congress in Computational Mechanics and ECCOMAS Congress. 2021;2100. doi: 10.23967/wccm-eccomas.2020.145
Mang, Katrin ; Wick, Thomas. / Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips. in: World Congress in Computational Mechanics and ECCOMAS Congress. 2021 ; Jahrgang 2100.
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title = "Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips",
abstract = "We consider a monolithic phase-field description for fractures in nearly incompressible materials, i.e., carbon black filled ethylene propylene diene monomer rubber (EPDM). A quasi-static phase-field fracture problem is formulated in mixed form based on three different energy functionals (AT2, AT1 and Wu{\textquoteright}s model) combined with two different stress splitting approaches (according to Miehe and Amor). It leads to six different phase-field fracture formulations in mixed form. The coupled variational inequality systems are solved in a quasi-monolithic manner with the help of a primal-dual active set method handling the inequality constraint. Further, adaptive mesh refinement is used to get a sharper crack zone. Numerical results based on the six different problem setups are validated on crack propagation experiments of punctured EPDM strips with five different test configurations. As a quantity of interest, the crack paths of experiments and numerical computations are discussed.",
keywords = "Crack Propagation, EPDM Rubber, Mixed Finite Elements, Phase-field Modeling",
author = "Katrin Mang and Thomas Wick",
note = "Funding Information: The authors would like to thank Nils Hendrik Kr{\"o}ger and Andreas Fehse for conducting experiments at the DIK. Further, the work has been supported by the DFG, SPP 1748 (392587580, WI 4367/2-1). ; 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 ; Conference date: 11-01-2021 Through 15-01-2021",
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Download

TY - JOUR

T1 - Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips

AU - Mang, Katrin

AU - Wick, Thomas

N1 - Funding Information: The authors would like to thank Nils Hendrik Kröger and Andreas Fehse for conducting experiments at the DIK. Further, the work has been supported by the DFG, SPP 1748 (392587580, WI 4367/2-1).

PY - 2021

Y1 - 2021

N2 - We consider a monolithic phase-field description for fractures in nearly incompressible materials, i.e., carbon black filled ethylene propylene diene monomer rubber (EPDM). A quasi-static phase-field fracture problem is formulated in mixed form based on three different energy functionals (AT2, AT1 and Wu’s model) combined with two different stress splitting approaches (according to Miehe and Amor). It leads to six different phase-field fracture formulations in mixed form. The coupled variational inequality systems are solved in a quasi-monolithic manner with the help of a primal-dual active set method handling the inequality constraint. Further, adaptive mesh refinement is used to get a sharper crack zone. Numerical results based on the six different problem setups are validated on crack propagation experiments of punctured EPDM strips with five different test configurations. As a quantity of interest, the crack paths of experiments and numerical computations are discussed.

AB - We consider a monolithic phase-field description for fractures in nearly incompressible materials, i.e., carbon black filled ethylene propylene diene monomer rubber (EPDM). A quasi-static phase-field fracture problem is formulated in mixed form based on three different energy functionals (AT2, AT1 and Wu’s model) combined with two different stress splitting approaches (according to Miehe and Amor). It leads to six different phase-field fracture formulations in mixed form. The coupled variational inequality systems are solved in a quasi-monolithic manner with the help of a primal-dual active set method handling the inequality constraint. Further, adaptive mesh refinement is used to get a sharper crack zone. Numerical results based on the six different problem setups are validated on crack propagation experiments of punctured EPDM strips with five different test configurations. As a quantity of interest, the crack paths of experiments and numerical computations are discussed.

KW - Crack Propagation

KW - EPDM Rubber

KW - Mixed Finite Elements

KW - Phase-field Modeling

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U2 - 10.23967/wccm-eccomas.2020.145

DO - 10.23967/wccm-eccomas.2020.145

M3 - Conference article

AN - SCOPUS:85122144958

VL - 2100

JO - World Congress in Computational Mechanics and ECCOMAS Congress

JF - World Congress in Computational Mechanics and ECCOMAS Congress

T2 - 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020

Y2 - 11 January 2021 through 15 January 2021

ER -

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