Coupling fluid–structure interaction with phase-field fracture

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  • Austrian Academy of Sciences
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Details

OriginalspracheEnglisch
Seiten (von - bis)67-96
Seitenumfang30
FachzeitschriftJournal of computational physics
Jahrgang327
PublikationsstatusVeröffentlicht - 1 Dez. 2016
Extern publiziertJa

Abstract

In this work, a concept for coupling fluid–structure interaction with brittle fracture in elasticity is proposed. The fluid–structure interaction problem is modeled in terms of the arbitrary Lagrangian–Eulerian technique and couples the isothermal, incompressible Navier–Stokes equations with nonlinear elastodynamics using the Saint-Venant Kirchhoff solid model. The brittle fracture model is based on a phase-field approach for cracks in elasticity and pressurized elastic solids. In order to derive a common framework, the phase-field approach is re-formulated in Lagrangian coordinates to combine it with fluid–structure interaction. A crack irreversibility condition, that is mathematically characterized as an inequality constraint in time, is enforced with the help of an augmented Lagrangian iteration. The resulting problem is highly nonlinear and solved with a modified Newton method (e.g., error-oriented) that specifically allows for a temporary increase of the residuals. The proposed framework is substantiated with several numerical tests. In these examples, computational stability in space and time is shown for several goal functionals, which demonstrates reliability of numerical modeling and algorithmic techniques. But also current limitations such as the necessity of using solid damping are addressed.

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Coupling fluid–structure interaction with phase-field fracture. / Wick, Thomas.
in: Journal of computational physics, Jahrgang 327, 01.12.2016, S. 67-96.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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