Flow stress prediction using hyperbolic-sine Arrhenius constants optimised by simple generalised reduced gradient refinement
Michael Oluwatosin Bodunrin
Abstract
The generalised reduced gradient refinement was applied to optimise the constitutive constants obtained from hyperbolic-sine Arrhenius equation when describing the flow stress of two titanium alloys subjected to hot compression testing. The results showed that correlation coefficients improved from 0.96 and 0.98 to 0.99, while the average absolute relative error and the root mean square error reduced by more than 30%. The simple generalised reduced gradient refinement can be used to improve the prediction of flow stress when hyperbolic-sine Arrhenius equation or other phenomenological and physical models are used for describing hot working behaviour of metals and alloys.
Topics & Concepts
Hyperbolic functionMaterials scienceArrhenius equationFlow stressSquare rootSineThermodynamicsFlow (mathematics)Compression (physics)Stress (linguistics)Simple (philosophy)Mathematical analysisMathematicsMechanicsMetallurgyPhysicsComposite materialClassical mechanicsStrain rateGeometryKineticsPhilosophyEpistemologyLinguisticsMetallurgy and Material FormingMicrostructure and Mechanical Properties of SteelsHigh Temperature Alloys and Creep