Optimization of the stress distribution in ceramic femoral heads by means of finite element methods.

Ceramic ball heads for total hip replacement are highly loaded in vivo and must meet the sternest requirements concerning strength and safety. High stresses inside the ball head originate from the press fit between the conical stem (made of titanium alloy or steel) and the borehole of the ball. The aim of this study was the development of an optimized contour at the fillet inside the ball head by means of numerical methods, in order to reduce local stress concentrations. The computer-aided optimization method was applied on the customary engineering fillet radius to reduce local stress peaks. The local notch stress of the examined ball head design was reduced by up to 27 per cent for the relevant load cases. Verification by rupture testing of prototypes turned out to be difficult for axisymmetric load cases, since the static fracture load is governed by the hoop stresses in the contact area of the taper (global maximum), thus making it difficult to prove a local improvement. The sensitivity of the design to asymmetric loading was clearly shown (varying the load angle and bearing type). Stress relocation in the ball-stem interface at higher burst loads indicated the necessity of optimizing each ceramic femoral head design individually (i.e. for different borehole depths).