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In orthopedic surgery and more particularly in total hip arthroplasty, the fixation of the implants is generally done by means of a surgical cement consisting essentially of polymer (PMMA), It is necessary to know the forces applied to the right of the prosthetic articulation during routine activities performed by the patient in their daily life in order to establish the distribution of the stresses in the system (bone - cement - implant). Damage accumulation and failure in polymethylmethacrylate (PMMA) cement are the most important in total hip cemented leading to eventual loosening of the implant. In this study, we used the three-dimensional finite element) method (FEM) to analyze and calculate the three modes (I, II and III) of stress intensity factor (SIF) of form Plane inside the cement mantle for different sizes and depending on the different activities of the patient. The comparison was made between 2 types of elliptical and rectilinear crack, applying the same boundary conditions. From the results obtained, we show that the crack mode of The opening is proportional to the stress applied to the damaged part (compression or traction) The FICvalues are less important for the elliptic crack than the rectilinear crack, which reaches the threshold of rupture under certain conditions, and is propagated essentially by shearing of the two crack lips in mixed modes II and III, these values show that the most probable mode of rupture is mode II.
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