Crosslinking degree variations enable programming and controlling soft fracture via sideways cracking

Under certain conditions, a crack in an elastomer propagates in a (sideways) direction parallel to the loading direction rather than perpendicularly in the (forward) direction of the notch. Then, the crack arrests and the material ahead can be further deformed enabling giant stretchability.
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What causes anisotropic fracture in an isotropic elastomer? Under certain conditions, a crack propagates in a (sideways) direction parallel to the loading direction rather than perpendicularly in the (forward) direction of the notch. Then, the crack arrests and the material ahead of the crack can be further deformed enabling giant stretchability. We provide control over fracture anisotropy and we introduce a novel virtual testbed to direct the fracture in soft structures.

Our research efforts show that the tendency of a crack to propagate sideways in a two component elastomer increases with the degree of crosslinking. We show that fracture anisotropy can be modulated during the synthesis of the polymer through the mixing ratio of the raw phases.

A crack running longitudinally to the tensile direction (left) and a crack running transversely to the tensile direction (right). The result of the simulation is shown in blue, that of the experiment in white. In longitudinal cracks, the material is not severed. A specific degree of cross-linking between the polymer molecules is necessary for this behaviour to occur (and thus for the material to have increased stability).
Sideways and forward cracking. A crack running longitudinally to the tensile direction (left) and a crack running transversely to the tensile direction (right). The result of the simulation is shown in blue, that of the experiment in white. In longitudinal cracks, the material is not severed. A specific degree of crosslinking between the polymer molecules is necessary for this behaviour to occur (and thus for the material to have increased stability). (c) Chair of Engineering Mechanics / FAU.

To assist the investigations, we construct a novel phase-field model for sideways fracture where the critical energy release rate is related to the crosslinking degree. Unlike existing approaches in the literature, we propose a phenomenological model that integrates deformation-induced fracture anisotropy as the fundamental mechanism driving lateral cracking. Our approach renders a crack surface density (γ) unaltered and introduces an anisotropic critical energy release rate in the format of a material function Gc = Gc (F,φ), with F and φ deformation gradient and damage order parameter, respectively.

Eventually, we propose a roadmap with composite soft structures with low and highly crosslinked phases that allow for control over fracture, arresting and/or directing the fracture. The smart combination of the phases enables soft structures with enhanced fracture tolerance and reduced stiffness.

In previous works the authors leveraged multiphysics to modulate fracture behaviour in soft materials. The authors investigated ultra-soft dielectric elastomers and reported electro-mechanical triaxiality stress states at the crack tip that delay crack propagation (see Moreno-Mateos el al. in International Journal of Engineering Science, (2024), 195, 104008). Further, the authors described for the first time the beneficial effect of magnetic remanent fields in hard-magnetic ultra-soft magneto-rheological elastomers and the magnetic crack closure mechanism (see Moreno-Mateos et al. in Journal of the Mechanics and Physics of Solids, (2023), 173, 105232). 

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Continuum Mechanics
Physical Sciences > Physics and Astronomy > Classical and Continuum Physics > Continuum Mechanics
Materials Mechanics
Technology and Engineering > Mathematical and Computational Engineering Applications > Engineering Mechanics > Solid Mechanics > Materials Mechanics
Engineering Mechanics
Technology and Engineering > Mathematical and Computational Engineering Applications > Engineering Mechanics

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