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. Author manuscript; available in PMC: 2008 Dec 4.
Published in final edited form as: J Biomech Eng. 2008 Dec;130(6):061019. doi: 10.1115/1.2939273

Table 1.

Best-performing 2.5% of the fits for the 2,054 mechanical stimulus candidates to experimentally observed UHMWPE wear (1,027 each for conventional and crosslinked UHMWPE). The tabulated quality of fit Q is the average of three measures: (1) 2-D correlation coefficient r, (2) fraction of shared area  in normalized plots of the two given datasets, and (3) correlative statistic R2 from a fixed/random effects ANOVA statistical model (See Appendix A). The complete rank list is provided in Appendix B (page 30). Please refer to the key following table for abbreviations.

Rank Q Stm TD Cmp Rgy Thrsh Mtl Rank Q Stm TD Cmp Rgy Thrsh Mtl
1 0.623 PS H 23 (+) V 36 0.525 APS I 22 Mx+ 0.002 X
2 0.614 APS I “E” 0.07 X 37 0.525 TS I 23 Mx+ V
3 0.597 TS I 22 Mx− V 38 0.519 APS I MnP |M| 0.005 X
4 0.589 TS H 22 (−) V 39 0.519 APS I MnP Mx− 0.005 X
5 0.578 APS I MnP |M| 0.009 X 40 0.518 TS I MxP |M| X
6 0.578 APS I MnP Mx− 0.009 X 41 0.518 TS I MxP Mx+ X
7 0.576 TS I 22 PV V 42 0.518 APS I “M” 0.006 X
8 0.575 APS I MxS 0.009 X 43 0.517 APS I MxP |M| 0.005 X
9 0.573 APS I MxP |M| 0.009 X 44 0.517 APS I MxP Mx+ 0.005 X
10 0.573 APS I MxP Mx+ 0.009 X 45 0.517 PSE I Gnl X
11 0.569 APS I MnP |M| 0.01 X 46 0.516 APS I MxP Mx− 0.0005 V
12 0.569 APS I MnP Mx− 0.01 X 47 0.516 APS I MnP Mx+ 0.0005 V
13 0.559 TS I 33 |M| X 48 0.516 APS I MnP Mx+ 0.005 V
14 0.559 TS I 33 Mx− X 49 0.516 M*A I MnP |M| 0 X
15 0.556 APS I “E” 0.05 X 50 0.516 M*A I MnP Mx− 0 X
16 0.553 APS I MxS 0.02 X 51 0.514 APS I MxS 0.005 X
17 0.549 APS I 11 Mx+ 0.0005 V 52 0.511 TS I 13 Mx− V
18 0.548 TS I MnP |M| X 53 0.510 TS H 13 (−) V
19 0.548 TS I MnP Mx− X 54 0.508 APS I 22 Mx− 0.006 V
20 0.546 M*A I “E” 0 X 55 0.506 APS I MxP Mx− 0.001 V
21 0.546 TS I 23 |M| X 56 0.505 APS I MxP Mx− 0.002 V
22 0.541 APS I MxP |M| 0.03 X 57 0.504 APS I “M” 0.02 X
23 0.541 APS I MxP Mx+ 0.03 X 58 0.504 APS I MnP Mx+ 0.002 V
24 0.539 TS H 23 (+) V 59 0.504 APS I MxS 0.03 X
25 0.537 TS I MxS X 60 0.503 M*A I MxS 0 X
26 0.535 APS I MxS 0.006 X 61 0.503 APS I “E” 0.007 X
27 0.531 PS I 23 Mx+ V 62 0.503 APS I MnP |M| 0.02 X
28 0.531 APS I “M” 0.007 X 63 0.503 APS I MnP Mx− 0.02 X
29 0.529 APS I MnP |M| 0.006 X 64 0.503 APS I “E” 0.006 X
30 0.529 APS I MnP Mx− 0.006 X 65 0.502 S H 22 (−) X
31 0.529 S I 22 Mx+ X 66 0.502 S I 23 |M| X
32 0.528 APS I 12 Mx− 0.002 V 67 0.502 S I 23 Mx+ X
33 0.528 APS I 22 Mx+ 0.001 V 68 0.502 APS I “M” 0.03 X
34 0.528 APS I MnP Mx+ 0.001 V 69 0.500 APS I “E” 0.03 X
35 0.526 APS I 12 Mx− 0.001 V 70 0.500 S H 3rd (−) X

NOTE: The following key provides abbreviations used for the above column headings and corresponding variants: Q = Quality of fit (= 1/3(r + Â + R2) ); Stm = Stimulus; APS = Area of Plastic Strain; MA = Magnitude of Area of plastic strain; PS = Plastic Strain; PSE = Plastic Strain Energy; TS = Total Strain; TSE = Total Strain Energy; TD = Temporal Designation; I = Instantaneous; H = (Cumulative) History; Cmp = Component; 11 = stimulus in the 1-plane, and in the 1-direction; 3rd = 3rd Invariant of stress (determinant of the stress tensor); “E” = “Equivalent” (ABAQUS effective value for consolidated tensorial components); Gnl = General state (normal state plus shear state); “M” = “Magnitude” (ABAQUS effective magnitude for consolidated tensorial components); MnP = Min Principal; MxP = Max Principal; Nml = Normal state; prs = equivalent pressure; Shr = Shear state; Tca = Tresca effective stress; vM = von Mises effective stress; Rgy = Registry; (+) = Positive values; (−) = Negative values; Mx+ = Max positive; Mx− = Max negative; |M| = Max (instantaneous) absolute magnitude; |m| = max (cumulative) absolute magnitude; PV = max cyclic Peak-to-Valley swing (suggestive of a fatigue measure for failure); Res = Residual (plastic strain); Thrsh = Threshold (of plastic strain, used in computing an area of plastic strain); Mtl = Material; V = conventional UHMWPE; X = highly crosslinked UHMWPE.