0
Research Papers

Poroviscoelastic Cartilage Properties in the Mouse From Indentation

[+] Author and Article Information
Sidharth Chiravarambath, Narendra K. Simha

Department of Orthopaedic Surgery, and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455

Ravi Namani

Department of Mechanical, Aerospace, and Structural Engineering, Washington University, St. Louis, MO 63102

Jack L. Lewis1

Department of Orthopaedic Surgery, University of Minnesota, Minneapolis, MN 55455lewis001@umn.edu

1

Corresponding author.

J Biomech Eng 131(1), 011004 (Nov 18, 2008) (9 pages) doi:10.1115/1.3005199 History: Received December 21, 2007; Revised June 17, 2008; Published November 18, 2008

A method for fitting parameters in a poroviscoelastic (PVE) model of articular cartilage in the mouse is presented. Indentation is performed using two different sized indenters and then these data are fitted using a PVE finite element program and parameter extraction algorithm. Data from a smaller indenter, a 15μm diameter flat-ended 60deg cone, is first used to fit the viscoelastic (VE) parameters, on the basis that for this tip size the gel diffusion time (approximate time constant of the poroelastic (PE) response) is of the order of 0.1s, so that the PE response is negligible. These parameters are then used to fit the data from a second 170μm diameter flat-ended 60deg cone for the PE parameters, using the VE parameters extracted from the data from the 15μm tip. Data from tests on five different mouse tibial plateaus are presented and fitted. Parameter variation studies for the larger indenter show that for this case the VE and PE time responses overlap in time, necessitating the use of both models.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 2

Experimental force versus time and displacement versus time curves for indentation with the 15μm tip in (a) normal and (b) logarithmic scales

Grahic Jump Location
Figure 3

Experimental force versus time and displacement versus time curves for indentation with the 170μm tip (a) normal and (b) logarithmic scales

Grahic Jump Location
Figure 4

Experimental and curve fit (VE and PE) force versus time curves for indentation with the 15μm tip in (a) normal and (b) logarithmic scales. VE fit is better than a PE fit.

Grahic Jump Location
Figure 5

Experimental and curve fit (VE and PE) force versus time curves for indentation with the 170μm tip in (a) normal and (b) logarithmic scales. PVE fit is better than a PE fit.

Grahic Jump Location
Figure 6

Sensitivity study for E∞ from the 15μm tip

Grahic Jump Location
Figure 7

Effect of varying permeability in the range 10−14–10−17m4∕Ns for the PE model of indentation of the mouse cartilage by the (a) 15μm and the (b) 170μm indenters

Grahic Jump Location
Figure 8

Role of various physical processes. Curves are generated using the fit parameters from Table 1.

Grahic Jump Location
Figure 1

FE mesh for nanoindentation of mouse cartilage using flat-ended conical indenter

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In