Mathematical Development of a Novel Discrete Hip Deformation Algorithm for the In Silico Elasto-Hydrodynamic Lubrication Modelling of Total Hip Replacements

In this paper, the procedure to achieve an accurate deformation model of a total hip replacement (THR) was proposed with aim obtain numerical tool be simply merged into THR elasto-hydrodynamic computational synovial lubrication algorithms. The approach based on Finite Element Method (FEM) and developed in Matlab code, allowing definition influence matrix boundary conditions vector. It works linear tetrahedra performs displacement calculation for both acetabular cup femoral head, taking account anatomical relative motion, by coupling them cubic interpolation matrix. Two simulations were conducted order validate algorithm results compared ones obtained commercial software Ansys. comparison provides satisfactory agreement terms surface deformation, Von Mises stress strain energy, proving reliability possibility use silico prostheses tribological simulations, avoiding complexity high resource requirement coming from between complex algorithms FEM software, directly act many key parameter characteristics investigated problem.