Phase-field modeling of fracture for ferromagnetic materials through Maxwell's equation

verfasst von

Nima Noii, Mehran Ghasabeh, Peter Wriggers

Abstract

Electro-active materials are classified as electrostrictive and piezoelectric materials. They deform under the action of an external electric field. Piezoelectric material, as a special class of active materials, can produce an internal electric field when subjected to mechanical stress or strain. In return, there is the converse piezoelectric response, which expresses the induction of the mechanical deformation in the material when it is subjected to the application of the electric field. This work presents a variational-based computational modeling approach for failure prediction of ferromagnetic materials. In order to solve this problem, a coupling between magnetostriction and mechanics is modeled, then the fracture mechanism in ferromagnetic materials is investigated. Furthermore, the failure mechanics of ferromagnetic materials under the magnetostrictive effects is studied based on a variational phase-field model of fracture. Phase-field fracture is numerically challenging since the energy functional may admit several local minima, imposing the global irreversibility of the fracture field and dependency of regularization parameters related discretization size. Here, the failure behavior of a magnetoelastic solid body is formulated based on the Helmholtz free energy function, in which the strain tensor, the magnetic induction vector, and the crack phase-field are introduced as state variables. This coupled formulation leads to a continuity equation for the magnetic vector potential through well-known Maxwell's equations. Hence, the energetic crack driving force is governed by the coupled magneto-mechanical effects under the magneto-static state. Several numerical results substantiate our developments.

Organisationseinheit(en)

Institut für Kontinuumsmechanik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme

Externe Organisation(en)

Deutsches Institut für Kautschuktechnologie e.V. (DIK)
Technische Universität Bergakademie Freiberg

Typ

Artikel

Journal

Engineering fracture mechanics

Band

303

Anzahl der Seiten

31

ISSN

0013-7944

Publikationsdatum

05.06.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Werkstoffwissenschaften (insg.), Werkstoffmechanik, Maschinenbau

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2404.07346 (Zugang: Offen)
https://doi.org/10.1016/j.engfracmech.2024.110078 (Zugang: Geschlossen)