Stresses at grain boundaries: The maximum incompatibility stress in an infinitely extended elastic bicrystal under uniaxial loading
K. Liu, Marcel H. F. Sluiter
Abstract
In a material under stress, grain boundaries may give rise to stress discontinuities. Stress localization is crucial to materials' behavior such as segregation, precipitation, and void nucleation. Here, the stress state at a grain boundary perpendicular to a uniaxial external stress is studied systematically. The grain boundary with the most extreme stress discontinuity is determined for cubic materials within the elastic limit for a bicrystal model. Additionally, grain boundaries with negligible stress discontinuity are identified. The influence of the elastic tensor components, C11, C12, and C44, and grain orientation is studied quantitatively.
Topics & Concepts
Materials scienceGrain boundaryDiscontinuity (linguistics)NucleationPerpendicularVoid (composites)Classification of discontinuitiesStress (linguistics)Condensed matter physicsGrain boundary strengtheningComposite materialGeometryThermodynamicsMicrostructureMathematical analysisMathematicsPhysicsLinguisticsPhilosophyMicrostructure and mechanical propertiesComposite Material MechanicsFatigue and fracture mechanics