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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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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