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Sensitivity Analysis of Articular Contact Mechanics

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Contact Mechanics of Articular Cartilage Layers

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 50))

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Abstract

Asymptotic models of articular contact developed in the previous chapters assume, in particular, that the cartilage layers are of uniform thickness and are bonded to rigid substrates shaped like elliptic paraboloids. In this final chapter, treating the term “sensitivity” in a broad sense, we study the effects of deviation of the substrate’s shape from the elliptic (Sect. 9.1) and of nonuniform thicknesses of the contacting incompressible layers (Sect. 9.2). It is shown that these effects in multibody dynamics simulations can be minimized if the geometric parameters in question (in particular, the layer thicknesses) are determined in a specific way to minimize the corresponding error in the force-displacement relationship.

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Authors and Affiliations

  1. Department of Mathematics, Aberystwyth University, Aberystwyth, Ceredigion, SY23 3BZ, UK

    Ivan Argatov & Gennady Mishuris

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  1. Ivan Argatov
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  2. Gennady Mishuris
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Correspondence to Ivan Argatov .

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Argatov, I., Mishuris, G. (2015). Sensitivity Analysis of Articular Contact Mechanics. In: Contact Mechanics of Articular Cartilage Layers. Advanced Structured Materials, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-20083-5_9

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  • DOI: https://doi.org/10.1007/978-3-319-20083-5_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20082-8

  • Online ISBN: 978-3-319-20083-5

  • eBook Packages: EngineeringEngineering (R0)

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