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The effect of three-dimensional shape optimization on the probabilistic response of a cemented femoral hip prosthesis

机译：三维形状优化对股骨髋关节假体概率响应的影响

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Probabilistic analyses allow the effect of uncertainty in system parameters on predicted model performance measures to be determined. Furthermore, using performance functions to describe a failure event, the probability of failure can be quantified. The effect of three-dimensional prosthesis shape optimization on the probabilistic response and failure probability of a cemented hip prosthesis system is investigated. Random variables include joint and muscle loading, cortical and cancellous bone and PMMA bone cement elastic properties, and strength parameters describing failure of the bone cement and the prosthesis-bone cement interface. Several performance functions describing the bone cement and prosthesis-cement interface are used to compute the probability of failure. When evaluated deterministically, most performance functions indicated a safe design, with the exception of interface tensile failure. However, when evaluated probabilistically, finite probabilities of failure were computed, some significant. The most likely mode of failure before shape optimization was prosthesis-bone cement interface tensile failure with a predicted probability of failure of 97.9%. Deterministic prosthesis shape optimization reduced the probability of failure for all performance functions and reduced prosthesis-bone cement interface tensile failure by 31.7%. Probability sensitivity factors indicate that the uncertainty in the joint loading, cement strength, and implant-cement interface strength have the greatest effect on the computed probability of failure. Implant shape optimization results in a more robust implant design that is less sensitive to uncertainties in joint loading, which cannot be easily controlled, and more sensitive to cement and interface properties, which are easier to modify. (c) 2005 Elsevier Ltd. All rights reserved.
机译：概率分析可以确定系统参数的不确定性对预测的模型性能度量的影响。此外，使用性能函数描述故障事件，可以量化故障的可能性。研究了三维假体形状优化对骨水泥髋关节假体系统的概率响应和失效概率的影响。随机变量包括关节和肌肉负荷，皮层和松质骨以及PMMA骨水泥的弹性特性，以及描述骨水泥和假体-骨水泥界面破坏的强度参数。描述骨水泥和假体-水泥界面的几个性能函数用于计算失败的可能性。当进行确定性评估时，除界面拉伸失效外，大多数性能功能均表明设计安全。但是，当进行概率评估时，会计算出有限的失效概率，其中一些是显着的。形状优化之前最可能的破坏方式是假体-骨水泥界面拉伸破坏，预计破坏概率为97.9％。确定性的假体形状优化可降低所有性能功能的失效概率，并使假体-骨水泥界面拉伸失效降低31.7％。概率敏感性因素表明，关节载荷，水泥强度和植入物-水泥界面强度的不确定性对计算出的失效概率影响最大。种植体形状的优化导致种植体设计更坚固，对关节载荷的不确定性较不敏感，后者不易控制，而对水泥和界面特性更敏感，更易于修改。 （c）2005 Elsevier Ltd.保留所有权利。

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