Lennon A B, Prendergast P J
Department of Mechanical Engineering, Trinity College, Dublin, Ireland.
J Biomech Eng. 2001 Dec;123(6):623-8. doi: 10.1115/1.1412452.
Stress analysis of the cement fixation of orthopaedic implants to bone is frequently carried out using finite element analysis. However the stress distribution in the cement layer is usually intricate, and it is difficult to report it in a way that facilitates comparison of implants for pre-clinical testing. To study this problem, and make recommendations for stress reporting, a finite element analysis of a hip prosthesis implanted into a synthetic composite femur is developed. Three cases are analyzed: a fully bonded implant, a debonded implant, and a debonded implant where the cement is removed distal to the stem tip. In addition to peak stresses, and contour and vector plots, a stressed volume and probability-of-failure analysis is reported. It is predicted that the peak stress is highest for the debonded stem, and that removal of the distal cement more than halves this peak stress. This would suggest that omission of the distal cement is good for polished prostheses (as practiced for the Exeter design). However, if the percentage of cement stressed above a certain threshold (say 3 MPa) is considered, then the removal of distal cement is shown to be disadvantageous because a higher volume of cement is stressed to above the threshold. Vector plots clearly demonstrate the different load transfer for bonded and debonded prostheses: A bonded stem generates maximum tensile stresses in the longitudinal direction, whereas a debonded stem generates most tensile stresses in the hoop direction, except near the tip where tensile longitudinal stresses occur due to subsidence of the stem. Removal of the cement distal to the tip allows greater subsidence but alleviates these large stresses at the tip, albeit at the expense of increased hoop stresses throughout the mantle. It is concluded that a thorough analysis of cemented implants should not report peak stress, which can be misleading, but rather stressed volume, and that vector plots should be reported if a precise analysis of the load transfer mechanism is required.
骨科植入物与骨水泥固定的应力分析通常采用有限元分析方法。然而,骨水泥层中的应力分布通常很复杂,难以以一种便于临床前测试中植入物比较的方式进行报告。为了研究这个问题并就应力报告提出建议,我们对植入合成复合股骨的髋关节假体进行了有限元分析。分析了三种情况:完全粘结的植入物、脱粘的植入物以及在柄尖远端去除骨水泥的脱粘植入物。除了峰值应力、等高线和矢量图外,还报告了应力体积和失效概率分析。预计脱粘柄的峰值应力最高,去除远端骨水泥可使该峰值应力减半以上。这表明省略远端骨水泥对抛光假体是有益的(如埃克塞特设计所采用的那样)。然而,如果考虑应力超过某个阈值(如3MPa)的骨水泥百分比,那么去除远端骨水泥是不利的,因为有更高体积的骨水泥应力超过了该阈值。矢量图清楚地展示了粘结和脱粘假体不同的载荷传递:粘结柄在纵向产生最大拉应力,而脱粘柄在环向产生最大拉应力,但在柄尖附近由于柄的下沉会出现纵向拉应力。去除柄尖远端的骨水泥可使下沉更大,但减轻了柄尖处的这些大应力,尽管这是以整个假体套箍中环向应力增加为代价的。得出的结论是,对骨水泥固定植入物的全面分析不应报告可能产生误导的峰值应力,而应报告应力体积,如果需要对载荷传递机制进行精确分析,则应报告矢量图。