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Recent research on modeling of fracture with phase-field approaches

le 19 mars 2015

Prof. Dr.-Ing.Laura De Lorenzis, Institut für Angewandte Mechanik, TU Braunschweig, interviendra à l'ENS de Cachan lors du séminaire du LMT


The phase-field approach for modeling fracture phenomena is a very promising framework which has gained popularity within the last decade, see the review paper [1] and the references therein. In particular, phase-field modeling of brittle fracture in elastic solids is a well-established framework that overcomes the limitations of the classical Griffith theory in the prediction of crack nucleation and in the identification of complicated crack paths including branching and merging [1-4]. On the other hand, phase-field modeling of ductile fracture has been the subject of very limited attention [5-6].
This presentation overviews some recent research results of the speaker and her group on phase-field modeling of brittle and ductile fracture. The presentation is divided in two parts.
The first part of the talk focuses on algorithmic aspects of the efficient phase-field computing of fracture.
Already a two-dimensional quasi-static phase-field formulation is computationally quite demanding. Indeed, the need to resolve the small length scale calls for extremely fine meshes, at least locally, in a crack phasefield transition zone. Also, due to non-convexity of the energy functional, a robust, but a priori non-efficient solution scheme based on algorithmic decoupling is typically used, e.g. in [1-4]. Herein, we discuss some aspects of efficient (i.e. fast, yet accurate) quasi-static phase-field computing of fracture, including the use of a monolithic scheme along with adaptive mesh refinement strategies.
In the second part of the talk a novel phase-field model for ductile fracture is proposed for elasto-plastic solids obeying J2-plasticity in the quasi-static kinematically linear regime [7]. The formulation is shown to capture the entire range of behavior, encompassing plasticization, crack initiation, propagation and failure. Several examples demonstrate the ability of the model to reproduce some important phenomenological features of ductile fracture as reported in the experimental literature.

[1] Ambati M., Gerasimov T., De Lorenzis L. (2015). A review on phase-field models of brittle fracture and a new fast hybrid formulation. Computational Mechanics, 55: 383-405.
[2] Bourdin B., Francfort G.A., Marigo J.J. (2008). The variational approach to fracture. Journal of Elasticity, 91: 5-148.
[3] Kuhn C., Muller R. (2010). A continuum phase-field model for fracture. Engineering Fracture Mechanics, 77: 3625-3634.
[4] Miehe C., Hofacker M., Welschinger F. (2010). A phase-field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Computer Methods in Applied Mechanics and Engineering, 199: 2765-2778.
[5] Duda F.P., Ciarbonetti A., Sanchez P.J., Huespe A.E. (2015). A phase-field/gradient damage model for brittle fracture in elastic-plastic solids. International Journal of Plasticity, 65: 269-296.
[6] Miehe C., Hofacker M., Schänzel L., Aldakheel F. (2015). Phase field modeling of fracture in multi-physics problems. Part II. Brittle-to-ductile failure mode transition and crack propagation in thermo-elastic-plastic solids. Computer Methods in Applied Mechanics and Engineering, in press.
[7] Ambati M., Gerasimov T., De Lorenzis L. (submitted). Phase-field modeling of ductile fracture.

Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Amphi e-média
Bâtiment Léonard De Vinci de - ENS Cachan
61, avenue du Président Wilson 94230 Cachan
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