1998
DOI: 10.1243/0954411981534060
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The estimation of acetabular cup wear volume from two-dimensional measurements: A comprehensive analysis

Abstract: This paper describes a mathematical investigation of the relationship between wear volume, wear depth and wear direction in acetabular components. The analysis takes into account the cylindrical and conical portions at the mouth of certain types of socket and also incorporates the effect of an initial radial discrepancy between the femoral head and socket. Published formulae for converting linear wear measurements to wear volumes are shown to be incorrect. Wear volume is shown to be highly dependent on the wea… Show more

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Cited by 16 publications
(12 citation statements)
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“…Many authors have studied 2D and 3D linear wear [4,13,14,21] and calculated the acetabular cup liner volume loss [3,7,10,12,[15][16][17]23]. Charnley et al [3] first pointed out that the wear trajectory of an artificial femoral head is a straight line and that the wear volume is the maximal cross-sectional area of the femoral head multiplied by the wear depth.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Many authors have studied 2D and 3D linear wear [4,13,14,21] and calculated the acetabular cup liner volume loss [3,7,10,12,[15][16][17]23]. Charnley et al [3] first pointed out that the wear trajectory of an artificial femoral head is a straight line and that the wear volume is the maximal cross-sectional area of the femoral head multiplied by the wear depth.…”
Section: Introductionmentioning
confidence: 99%
“…Kabo [16] proposed a formula and pointed out that the wear volume should be calculated from not only the wear depth, but also the direction of femoral head motion. However, Kabo's formula has been found to produce errors as high as 45% [7,23]. The formula developed by Hall [10] can be used to compute the wear volume of a cylindrically elongated liner, while the previous formulae can only be used for a hemispherical liner.…”
Section: Introductionmentioning
confidence: 99%
“…2-dimensional analysis mainly describes linear wear (the distance of motion of the femoral head relative to the acetabular cup). Several conversion formulae can be used to calculate the volumetric wear based on linear measurements (Kabo et al 1993, Charnley et al 1969, Derbyshire 1998. They all include assumption of a certain amount of cylindrical wear but some also include other factors based on different complexities of the polyethylene liner geometry and direction of wear.…”
Section: Discussionmentioning
confidence: 99%
“…Many studies have analyzed 2D and 3D linear wear [5,17,18,26] and focused on the calculation of the acetabular cup volume loss [4,9,14,16,19,21,23,29]. Charnley [4] first stated that the wear volume could be calculated as the maximal cross-sectional area of the femoral head multiplied by the wear depth.…”
Section: Introductionmentioning
confidence: 99%
“…However, Kabo [21] reported that the wear volume should not be based solely on wear depth, but also on the direction of femoral head movement. Nevertheless, some studies [9,29] pointed out that the Kabo formula produced errors as high as 45%. Recently, Ilchmann et al [19] compared several published formulae and proposed a new formula, which, however, has been found not to be sufficiently accurate [41].…”
Section: Introductionmentioning
confidence: 99%