The origin of the energy split in phase‐field fracture and eigenfracture
Johannes Storm, Michael Kaliske
Abstract
Abstract The energy splits, which are used in phase‐field fracture and eigenfracture, are frequently motivated by the statement that crack nucleation and crack growth have to be prevented at compression loads. The intention of the article at hand is to show that the energy decomposition is an essential part of such fracture models, and to investigate the underlying problem and its physical interpretation. Finally, a general framework for the derivation of physically motivated energy splits is presented, which is not limited to certain bulk material models.
Topics & Concepts
NucleationFracture (geology)Interpretation (philosophy)Energy (signal processing)Phase (matter)Statement (logic)Field (mathematics)Phase field modelsDecompositionCompression (physics)Fracture mechanicsMaterials scienceMechanicsTheoretical physicsPhysicsMathematicsComputer scienceThermodynamicsComposite materialEpistemologyChemistryStatisticsPure mathematicsPhilosophyProgramming languageQuantum mechanicsOrganic chemistryNumerical methods in engineeringFatigue and fracture mechanicsHigh-Velocity Impact and Material Behavior