Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models
Farhad Kamarei, John E. Dolbow, Oscar Lopez‐Pamies
Abstract
Abstract As a companion work to [1], this article presents a series of simple formulae and explicit results that illustrate and highlight why classical variational phase-field models cannot possibly predict fracture nucleation in elastic brittle materials. The focus is on “tension-dominated” problems where all principal stresses are nonnegative, that is, problems taking place entirely within the first octant in the space of principal stresses.
Topics & Concepts
Octant (instrument)NucleationPhase (matter)Field (mathematics)Fracture (geology)PhysicsMaterials scienceMathematicsOpticsComposite materialThermodynamicsQuantum mechanicsPure mathematicsSolidification and crystal growth phenomenaAluminum Alloy Microstructure PropertiesMetallurgy and Material Forming