New approach in constitutive modelling of commercially pure titanium thermo-mechanical processing

Abstract The pure titanium, as a biomaterial destined for production of load-demanding prostheses, requires thermo-mechanical processing to increase its strength. most common way achieve this is the method grain fragmentation. Thermo-mechanical deformation titanium complex process, which makes it very difficult describe by means constitutive equations. Such relations are useful they can be implemented in finite element tools order simulate and optimize whole process. Cylindrical specimens were compressed at elevated temperatures on simulator. tests performed four different strain rates (from 10 $$^{\mathrm {-2}}$$ - 2 s {-1}}$$ 1 {-1}})$$ ) 775 K 875 temperatures. collected data allowed us create strain–stress graphs characterizing Observations scanning electron microscope transmission done well backscatter diffraction analysis, revealing significant aim studies described paper was verify select proper mathematical model process fragmentation obtained thermoplastic Four models considered. calculation theoretical stress values based Arrhenius-type equation, Anand viscoplastic model, Johnson–Cook Khan Huang-Liang compared experimental results. curves generated fitted experimental, made possible calibrate constants models. curve-fitting analyses showed that behaviour best.