Abstract
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.
Highlights
The amount of relative micro-movement between bone and implant plays a crucial role in the success of Total Hip Replacement (THR) [1]
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 aim of this paper was to present a methodology to enable the prediction in a probabilistic context of the primary stability of cementless hip prostheses in the presence of uncertainties
Summary
The amount of relative micro-movement between bone and implant plays a crucial role in the success of Total Hip Replacement (THR) [1]. Bah and Browne [12] used an idealized cylindrical finite element model to represent an implanted cemented hip stem in order to assess the most likely failure mode and to identify which parameters had the largest contribution, where geometry, material properties and loading were considered as random variables. 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.
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