Physical Review Letters · 2014 · 15 citations · 28 references
EngineeringMaterials EngineeringMaterials ScienceComputational Materials ScienceComputational MechanicsMechanical Behavior Of MaterialsComputational ThermomechanicsDamage MechanicsFracture GeometryFracture MechanicsFracture PropagationFracture ToughnessComplex Fracture NetworksCrack PropagationCracksFracture Network EvolutionGriffith Failure CriterionGriffith Fracture CriterionThermal ShockThermal Shock Fracture
We study the genesis and the selective propagation of complex crack networks induced by thermal shock or drying of brittle materials. We use a quasistatic gradient damage model to perform large-scale numerical simulations showing that the propagation of fully developed cracks follows Griffith criterion and depends only on the fracture toughness, while crack morphogenesis is driven by the material's internal length. Our numerical simulations feature networks of parallel cracks and selective arrest in two dimensions and hexagonal columnar joints in three dimensions, without any hypotheses on cracks geometry, and are in good agreement with available experimental results.
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Phase-Field Model of Mode III Dynamic Fracture
Alain Karma, David A. Kessler, Herbert Levine · Physical Review Letters · 2001 · 641 citations · Full text