Fatigue failure is the main issue in design of hip implants. One way to prolong fatigue life is to use newly developed Ti6Al4V Extra Low Interstitials (ELI) alloy. As the most critical part, hip neck has been in the focus of this analysis, keeping in mind that the lower the thickness is, the higher the movement of joint may be, but reducing remaining life of implants with a crack at the same time. In this research extended Finite Element Method (xFEM) is used to analyse this effec