This paper presents a probabilistic approach for
studying the reliability of cementless hip prostheses in the presence of
mechanical uncertainties and its application to the investigation of the
influence of bone-implant interface properties. The non-linear deterministic
model of the bone-implant coupled system and its finite element implementation
are described, and the proposed reliability analysis is exposed. It is
demonstrated that the distribution (uniform, truncated Gaussian and truncated
lognormal distribution) of the two chosen parameters and the truncation lengths
have a minor influence on the Hasofer-Lind index. This index logically increases
as the failure threshold increases. FORM and SORM approximations are compared
with the results obtained using a crude Monte-Carlo method for the estimation
of failure probability. The performance of three Monte-Carlo methods is studied
in terms of the necessary number of FE calculations. The method based on the
Directional Simulation (DS) technique is efficient and less time-consuming. The
validity and operational capacity of the proposed approach would not be
compromised by an increase in the number of uncertain parameters.
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