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Research Papers

Contact of Rough Surfaces in Ankle Implants Under Combined Normal and Twist Loading

[+] Author and Article Information
Mohammad Hodaei

Mechanical Engineering Department,
Southern Illinois University,
Carbondale, IL 62901;
Biomedical Engineering Department,
University of Manitoba,
Winnipeg, MB R3T 5L2, Canada
e-mail: hodaeim@myumanitoba.ca

Kambiz Farhang

Mechanical Engineering Department,
Southern Illinois University,
Carbondale, IL 62901

Manuscript received March 7, 2018; final manuscript received July 24, 2018; published online September 17, 2018. Assoc. Editor: Lijie Grace Zhang.

ASME J of Medical Diagnostics 1(4), 041005 (Sep 17, 2018) (10 pages) Paper No: JESMDT-18-1015; doi: 10.1115/1.4041005 History: Received March 07, 2018; Revised July 24, 2018

The medical application of implant replacements to remedy the pain in joints has necessitated a comprehensive study of wear due to contact of implant surfaces. Excessive wear can lead to toxicity and other implant associated medical issues such as patient discomfort and decreased mobility. Since implant wear is the result of contact between surfaces of tibia and talus implant, it is important to establish a model that can address implant surface contact mechanics with roughness effects. In this research, a statistical contact model is developed for the interaction of tibia and talus including normal and lateral contact in which surface roughness effects are included. The model accounts for the elastic–plastic interaction of the implant surface with roughness. For this purpose, tibia and talus implants are considered as macroscopic surfaces containing micron-scale roughness. Approximate equations are obtained that relate the contact force to the mean surface separation explicitly. Closed-form equations are obtained for hysteretic energy loss in implant using the approximate equations. Such a function can serve as a very useful tool for implant designers and manufacturers. Natural frequencies of both adduction-abduction and planter-dorsiflexion rotations are obtained using nonlinear vibration analyses.

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References

Lundberg, A. , Goldie, I. , Kalin, B. , and Selvik, G. , 1989, “ Kinematics of the Ankle/Foot Complex—Part 1: Plantar Flexion and Dorsiflexion,” Foot Ankle., 9(4), pp. 194–200. [CrossRef] [PubMed]
Lundberg, A. , Svennson, O. K. , Nemeth, G. , and Selvik, G. , 1989, “ The Axis of Rotation of the Ankle Joint,” J. Bone Jt. Surg, 71(1), pp. 94–99. https://pdfs.semanticscholar.org/559b/26cc45502e3cd28e60eaaf2aa2d0494727a5.pdf
Sammarco, J. , 1977, “ Surface Velocity and Instant Center of Rotation in the Sagittal Plane,” Am. J. Sports Med, 5(6), pp. 231–234. [CrossRef] [PubMed]
Hintermann, B. , 2005, “ History Overview, Current Concepts and Future Perspectives,” Total Ankle Arthroplasty, Springer, New York, pp. 59–89.
Barnett, C. H. , and Napier, J. R. , 1952, “ The Axis of Rotation at the Ankle Joint in Man. Its Influence Upon the Form of the Talus and Mobility of the Fibula,” Anatomy, 86(1), pp. 1–9. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1273922/
Calhoun, J. H. , Li, F. , Ledbetter, B. R. , and Viegas, S. F. , 1994, “ A Comprehensive Study of Pressure Distribution in the Ankle Joint With Inversion and Eversion,” Foot Ankle Int., 15(3), pp. 125–133. [CrossRef] [PubMed]
Leardini, A. , Connor, J. J. , Catani, F. , and Giannini, S. , 1999, “ A Geometric Model of the Human Ankle Joint,” J. Biomech., 32(6), pp. 585–591. [CrossRef] [PubMed]
Conti, S. F. , and Wong, S. Y. , 2001, “ Complications of Total Ankle Replacement,” Clin. Orthop. Relat. Res., 391, pp. 105–114. [CrossRef]
Saltzman, C. L. , Salamon, M. L. , Blanchard, G. M. , Huff, T. , Hayes, A. , Buckwalter, J. A. , and Amendola, A. , 2005, “ Epidemiology of Ankle Arthritis: Report of a Consecutive Series of 639 Patients From a Tertiary Orthopedic Center,” Iowa Orthop. J., 25, pp. 44–46. https://www.ncbi.nlm.nih.gov/pubmed/16089071 [PubMed]
Harrington, K. D. , 1979, “ Degenerative Arthritis of the Ankle Secondary to Long-Standing Lateral Ligament Instability,” J. Bone Jt. Surg., 61(3), pp. 354–361. [CrossRef]
Easley, M. E. , Vertullo, C. J. , Urban, W. C. , and Nunley, J. , 2002, “ Total Ankle Arthroplasty,” J. Am. Acad. Orthop. Surg., 10(3), pp. 157–67. [CrossRef] [PubMed]
Benjamin, D. , 2012, “ Total Ankle Replacement a Historical Perspective,” Clin. Podiatr. Med. Surg., 29(4), pp. 547–570. [CrossRef] [PubMed]
Kirkup, J. , 1990, “ Rheumatoid Arthritis and Ankle Surgery,” Ann. Rhem. Dis., 49(Suppl. 2), pp. 837–844. [CrossRef]
Carlsson, A. S. , Nilsson, J. A. , Johnell, I. R. , Henricson, A. , and Linder, L. , 1994, “ A Survival Analysis of 52 Bath and Wessex Ankle Replacements,” Foot, 4(1), pp. 34–40. [CrossRef]
Kirkup, J. , and Richard, S. , 1985, “ Ankle Arthroplasty,” J. R. Soc. Med., 78(4), pp. 301–304. [CrossRef] [PubMed]
Dini, A. A. , and Bassett, F. H. , 1980, “ Evaluation of the Early Result of Smith Total Ankle Replacement,” Clin. Orthop., 146, pp. 228–230. https://www.ncbi.nlm.nih.gov/pubmed/7371258
Newton, E. , 1982, “ Total Ankle Arthroplasty: A Clinical Study of Fifty Cases,” J. Bone Jt. Surg. Am., 64(1), pp. 104–111. [CrossRef]
Newton, S. E. , 1979, “ An Artificial Ankle Joint,” Clin. Orthop., 142, pp. 141–145. https://europepmc.org/abstract/med/498628
Waugh, T. , 1979, “ Ankle Replacement Arthroplasty,” Ona J., 6(1), pp. 15–18. [PubMed]
Hay, S. M. , and Smith, T. W. , 1994, “ Total Ankle Arthroplasty: A Long-Term Review,” Foot, 4(1), pp. 1–5. [CrossRef]
Kitaoka, H. B. , Patzer, G. L. , Ilstrup, D. M. , and Wallrichs, S. L. , 1994, “ Survivorship of the Mayo Total Ankle Arthroplasty,” J. Bone Jt. Surg., 76(7), pp. 974–979. [CrossRef]
Kitaoka, H. B. , and Patzer, G. L. , 1996, “ Clinical Results of the Mayo Total Ankle Arthroplasty,” J. Bone Jt. Surg., 78(11), pp. 1658–1664. [CrossRef]
Jari, S. , and Wood, P. L. , 1997, “ A Comparison of the Outcome Following Two different Total Ankle Replacement Systems in Rheumatoid Arthritis,” Annual Congress of the British Orthopaedic Association, Cardiff, UK, pp. 24–26.
Jensen, N. , and Kroner, K. , 1992, “ Total Ankle Joint Replacement: A Clinical Follow Up,” Orthopedics, 15(2), pp. 236–239. [PubMed]
Klenerman, L. , 1995, “ The Foot and Ankle in Rheumatoid Arthritis,” Br. J. Rheumatol., 34(5), pp. 443–448. [CrossRef] [PubMed]
Schill, S. , Biehl, C. , and Thabe, H. , 1998, “ Ankle Prosthesis: Mid-Term Results After Thompson-Richards and STAR Prostheses,” Orthopade., 27(3), pp. 183–187. https://link.springer.com/article/10.1007/PL00003489
Das, A. , 1988, “ Total Ankle Arthroplasty. A Review of 37 Cases,” J. Ten. Med. Assoc., 81(11), pp. 682–685. https://europepmc.org/abstract/med/3230930
Buchholz, H. W. , Engelbrecht, E. , and Siegel, A. , 1973, “ Complete Ankle Joint Endoprosthesis Type St George,” Chirurgie, 44, pp. 241–244.
Engelbrecht, E. , 1975, “ Ankle-Joint Endoprosthesis Model St George,” Z. Orthop., 113, pp. 546–548.
Alvine, F. G. , 1991, “ Total Ankle Arthroplasty: Concepts and Approach,” Contemp. Orthop., 22(4), pp. 387–403. https://www.ncbi.nlm.nih.gov/pubmed/10149645
Pyevich, M. T. , Alvine, F. G. , Saltzman, C. L. , and Callaghan, J. J. , 1997, “ Total Ankle Arthroplasty:Year Follow-Up of a Unique Design,” Annual Meeting of the American Academy of Orthopaedic Surgeons, San Francisco, CA, pp. 2–11.
Pyevich, M. T. , Saltzman, C. L. , Callaghan, J. J. , John, J. , Alvine, F. G. , and Sioux, F. , 1998, “ Total Ankle Arthroplasty: A Unique Design: Two to Twelve-Year Follow-Up,” J. Bone Jt. Surg, 80(10), pp. 1410–1420. [CrossRef]
Swanson, S. , Freeman, M. , and Heath, J. C. , 1973, “ Laboratory Tests on Total Joint Replacement Prostheses,” J. Bone Jt. Surg., 55(4), p. 759. https://pdfs.semanticscholar.org/a470/e030ca0c25a89b54049af27c6a1fe64e4a01.pdf
Kempson, G. E. , Freeman, M. , and Tuke, M. A. , 1975, “ Engineering Considerations in the Design of an Ankle Joint,” ASME J. Biomed Eng., 10(5), pp. 166–180. https://www.ncbi.nlm.nih.gov/pubmed/1125359
Freeman, M. , Kempson, G. E. , and Tuke, M. A. , 1978, “ Total Replacement of the Ankle With the ICLH Prosthesis,” Int. Orthop., 2(4), pp. 327–331. [CrossRef]
Bamert, P. , 1978, “ Endoprostheses in the Region of the Ankle With Special Reference to the ICLH Prosthesis,” Ther. Umsch., 35(5), pp. 342–349. [PubMed]
Herberts, P. , Goldie, I. F. , Korner, L. , and Larsson, U. , 1982, “ Endoprosthetic Arthroplasty of the Ankle Joint: A Clinical and Radiological Follow-Up,” Acta. Orthop. Scand., 53(4), pp. 687–696. [CrossRef] [PubMed]
Samuelson, K. M. , Freeman, M. , and Tuke, M. A. , 1982, “ Development and Evolution of the ICLH Ankle Replacement,” Foot Ankle, 3(1), pp. 32–36. [CrossRef] [PubMed]
Bolton, B. G. , and Sudlow, R. A. , 1984, “ The ICLH Ankle Replacement: A Follow-Up Study,” J. Bone Jt. Surg., 66, p. 773.
Endrich, B. , and Terbruggen, D. , 1991, “ Total Ankle Arthroplasty: Indications and Long-Term Results,” Unfallchirurg, 94, pp. 525–530. [PubMed]
Bolton, B. G. , Sudlow, R. A. , and Freeman, M. , 1985, “ Total Ankle Arthroplasty: A Long-Term Review of the London Hospital Experience,” J. Bone Jt. Surg., 67(5), pp. 785–790. https://www.ncbi.nlm.nih.gov/pubmed/4055882
Buechel, F. F. , and Pappas, M. J. , 1992, “ Survivorship and Clinical Evaluation of Cementless, Meniscal-Bearing Total Ankle Replacement,” Semin. Arthroplasty, 3(1), pp. 43–50. https://www.ncbi.nlm.nih.gov/pubmed/10147571 [PubMed]
Wynn, A. H. , and Wilde, A. H. , 1992, “ Long-Term Follow Up of the Conaxial (Beck-Steffee) Total Ankle Arthroplasty,” Foot Ankle, 3(6), pp. 303–306. https://www.ncbi.nlm.nih.gov/pubmed/1398356
Stauffer, R. N. , 1977, “ Total Ankle Replacement,” Arch. Surg., 112(9), pp. 1105–1109. [CrossRef] [PubMed]
Stauffer, R. N. , 1976, “ Total Ankle Joint Replacement as an Alternative to Arthrodesis,” Geriatrics, 31(3), pp. 79–85. [PubMed]
Stauffer, R. N. , 1981, “ Segal NM. Total Ankle Arthroplasty: Four Years' Experience,” Clin. Orthop., 160, pp. 217–221. https://www.ncbi.nlm.nih.gov/pubmed/7285427
Stauffer, R. N. , 1982, “ Salvage of Painful Total Ankle Arthroplasty,” Clin. Orthop. Relat. Res., 170, pp. 184–188. https://www.ncbi.nlm.nih.gov/pubmed/7127945
Scholz, K. C. , 1976, “ Total Ankle Replacement Arthroplasty,” Foot Science, J. E. Bateman , ed., WB Sauders, Philadelphia, PA, pp. 106–135.
Unger, A. S. , Inglis, A. E. , and Mow, C. S. , 1988, “ Total Ankle Arthroplasty in Rheumatoid Arthritis: A Long-Term Follow-Up Study,” Foot Ankle, 8(4), pp. 173–179. [CrossRef] [PubMed]
Stauffer, R. N. , Chao, E. , and Brewster, R. C. , 1977, “ Force and Motion Analysis of the Normal, Diseased, and Prosthetic Ankle Joint,” Clin. Orthop. Relat. Res., 127, pp. 189–196. https://journals.lww.com/clinorthop/Citation/1977/09000/Force_and_Motion_Analysis_of_the_Normal,_Diseased,.27.aspx
Lachiewicz, P. F. , Inglis, A. E. , and Ranawat, C. S. , 1986, “ Total Ankle Replacement in the Rheumatoid Arthritis,” J. Bone Jt. Surg. Am., 66(3), pp. 340–343. [CrossRef]
Stauffer, R. N. , 1979, “ Total Joint Arthroplasty,” Ankle Mayo Clin. Proc., 54(9), pp. 570–575.
Scholz, K. C. , 1987, “ Total Ankle Arthroplasty Using Biological Fixation Components Compared to Ankle Arthrodesis,” Orthopedics, 10(1), pp. 125–131. https://www.ncbi.nlm.nih.gov/pubmed/3809010
Schreiber, A. , Dexel, M. , and Zollinger, H. , 1978, “ A New Ankle Joint Total Endoprosthesis,” Z. Orthop., 116, pp. 595–596. https://europepmc.org/abstract/med/706625
Takakura, Y. , Tanaka, Y. , Sugimoto, K. , Tamai, S. , and Masuhara, K. , 1990, “ Ankle Arthroplasty: A Comparative Study of Cemented Metal and Uncemented Ceramic Prostheses,” Clin. Orthop. Relat. Res., 252, pp. 209–216. https://www.ncbi.nlm.nih.gov/pubmed/2302887
Calderale, P. M. , Garro, A. , and Barbiero, R. , 1983, “ Biomechanical Design of the Total Ankle Prosthesis,” Eng. Med., 12(2), pp. 69–80. [CrossRef] [PubMed]
Allard, P. , Kirtley, C. , Rosenbaum, D. , Siegler, S. , and Whittle, M. , 1995, “ A Joint Coordinate System Ankle Complex,” ISB Neswletter, 59, pp. 6–8.
Allard, P. , Thiry, P. , and Duhaime, M. , 1985, “ Estimation of the Ligamentsrole Using a Kinematic Model,” Med. Biol. Eng. Comput., 23(3), pp. 237–242. [CrossRef] [PubMed]
Leardini, A. , Connor, J. J. , Catani, F. , and Giannini, S. , 1999, “ Kinematics of the Human Ankle Complex in Passive Flexion; a Single Degree of Freedom System,” J. Biomech., 32(2), pp. 111–118. [CrossRef] [PubMed]
HlavaHcek, M. , 2000, “ Squeeze-Film Lubrication of the Human Ankle Joint With Synovial Fluid Filtrated by Articular Cartilage With the Superficial Zone Worn Out,” J. Biomech., 33(11), pp. 1415–1422.
Galik, K. , 2002, “ The Effect of Design Variations on Stresses in Total Ankle Arthroplasty,” Doctoral dissertation, University of Pittsburgh, Pennsylvania, PA. http://d-scholarship.pitt.edu/7307/
Greenwood, J. A. , and Williamsom, J. B. P. , 1966, “ Contact of Nominally Flat Surfaces,” Proc. R. Soc. London. Series A, Math. Phys. Sci., 295(1442), pp. 300–319.
Chang, W. R. , Etsion, I. , and Bogy, D. B. , 1987, “ An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109(2), pp. 257–263. [CrossRef]
Hodaei, M. , Farhang, K. , and Manni, N. , 2014, “ A Contact Mechanics Model for Ankle Implants With Inclusion of Surface Roughness Effects,” J. Phys. D: Appl. Phys., 47(8), p. 13. http://iopscience.iop.org/article/10.1088/0022-3727/47/8/085502/meta
Sepehri, A. , and Farhang, K. , 2007, “ An Extension of CEB Elastic-Plastic Contact Model,” ASME Paper No. IJTC2007-44362.
Bonnin, M. , Judet, T. , Colombier, J. A. , Buscayret, F. , Graveleau, N. , and Piriou, P. , 2004, “ Midterm Results Salto Total Ankle Prosthesis,” Clin. Orthop. Relat. Res., 424, pp. 6–18. [CrossRef]
Frigg, A. , Frigg, R. , Hintermann, B. , Barg, A. , and Valderrabano, V. , 2007, “ The Biomechanical Influence of Tibio-Talar Containment on Stability of the Ankle Joint,” Knee Surg. Sports Traumatol. Arthrosc., 15(11), pp. 1355–1362. [CrossRef] [PubMed]
Schrank, E. S. , and Stanhope, S. J. , 2011, “ Dimensional Accuracy of Ankle-Foot Orthoses Constructed by Rapid Customization and Manufacturing Framework,” J. Rehabil. Res. Develop. (JRRD), 48(1), pp. 31–42. [CrossRef]
Christopher, F. , Scifert, A. B. , Thomas, D. , Brown, A. B. , Joseph, D. , and Lipman, C. , 1999, “ Finite Element Analysis of a Novel Design Approach to Resisting Total Hip Dislocation,” Clin. Biomech., 14(10), pp. 697–703. [CrossRef]

Figures

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Fig. 1

An anteroposterior view of ankle joint

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Fig. 2

The tibia and talus ankle implant

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Fig. 3

The minimum separation line and the load path

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Fig. 4

Tibia and talus in contact as a result of normal load only

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Fig. 5

Ankle implant surface under the resultant load

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Fig. 6

The schematic of the talus-tibia contact load distribution: (a) distribution of induced tangential load at location of minimum separation and (b) circumferential distribution for a strip of infinitesimal length dy

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Fig. 7

Normal load approximation and error: ψ=1.3 and R = 35 mm

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Fig. 8

Schematic diagram showing (a) hysteresis energy loss per volume and (b) schematic representation of energy loss mechanism

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Fig. 9

The load–unload curves for an ankle implant of surface with plasticity index 1.3

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Fig. 10

The load–unload curves for an ankle implant of plasticity index 0.6

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Fig. 11

Energy loss and plasticity index versus critical interference

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Fig. 12

Energy loss versus plasticity index for an ankle implant as a function of rough surface plasticity index

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Fig. 13

A schematic diagram of ankle implant rotational displacement about the x- and y-axes

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Fig. 14

An illustration of rotation about the x-axis

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Fig. 15

Projection of h0(L) and h0(0) on z- and x-axes respect to θL

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Fig. 16

Implant contact torque versus corresponding angular displacements

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Fig. 17

Rotation of ankle implant about the z-axis by twist load

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Fig. 18

Rotation of ankle implant about the x-axis by normal load

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