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Elastic Instability behind Brittle Fracture

Riccobelli, D.
•
Ciarletta, P.
•
Vitale, G.
altro
Truskinovsky, L.
2024
  • journal article

Periodico
PHYSICAL REVIEW LETTERS
Abstract
We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrically precise description of finite elastic deformation. As a prototypical problem we consider a homogeneous elastic body subjected to tension and assume that it is weakened by the presence of a free surface which then serves as a location of cracks nucleation. We show that in this maximally simplified setting, brittle fracture emerges from a symmetry breaking elastic instability activated by softening and involving large elastic rotations. The implied bifurcation of the homogeneous elastic equilibrium is highly unconventional for nonlinear elasticity as it exhibits strong sensitivity to geometry, reminiscent of the transition to turbulence in fluids. We trace the postbifurcational development of this instability beyond the limits of applicability of scale-free continuum elasticity and use a phase-field approach to capture the scale dependent subcontinuum strain localization, signaling the formation of actual cracks.
DOI
10.1103/physrevlett.132.248202
WOS
WOS:001251467000002
Archivio
https://hdl.handle.net/20.500.11767/145952
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85196123372
https://journals.aps.org/prl/issues/132/24
https://arxiv.org/abs/2311.17372
https://ricerca.unityfvg.it/handle/20.500.11767/145952
Diritti
closed access
google-scholar
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