Special finite element-based unit cell approach for the prediction of mechanical properties of foamed titanium

With superior mechanical and biological properties, titanium-based foams have potentially beneficial applications for bone-replacement implants in biomedical engineering. To predict microscopic stress and strain localizations (as well as macroscopic responses), finite element (FE) analyses can obtain full-field solutions for better understanding of the relationship between pore morphology, overall properties and strain localization. In this study, a simple two-dimensional unit cell approach (UCA) is developed based on micromechanics and special finite element method for multiscale modelling. Initially we have predicted the elastic mechanical properties for foamed titanium with a reasonably accurate depiction of the actual geometry of the microstructure