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Poroelastic Indentation Analysis for Hydrated Biological Tissues

Published online by Cambridge University Press:  26 February 2011

Michelle L. Oyen ,
Amanpreet K. Bembey  and
Andrew J. Bushby
Michelle L. Oyen
Affiliation:
mlo29@cam.ac.uk, Cambridge University, Engineering Dept., Trumpington St., Cambridge, CB2 1PZ, United Kingdom, 01223 332 680, 01223 332 662
Amanpreet K. Bembey
Affiliation:
a.k.bembey@qmul.ac.uk, Queen Mary, University of London, London, E1 4NS, United Kingdom
Andrew J. Bushby
Affiliation:
a.j.bushby@qmul.ac.uk, Queen Mary, University of London, London, E1 4NS, United Kingdom
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Abstract

Indentation techniques are employed for the measurement of mechanical properties of a wide range of materials. In particular, techniques focused at small length-scales, such as nanoindentation and AFM indentation, allow for local characterization of material properties in heterogeneous materials including natural tissues and biomimetic materials. Typical elastic analysis for spherical indentation is applicable in the absence of time-dependent deformation, but is inappropriate for materials with time-dependent responses. Recent analyses for the viscoelastic indentation problem, based on elastic-viscoelastic correspondence, have begun to address the issue of time-dependent deformation during an indentation test. The viscoelastic analysis has been shown to fit experimental indentation data well, and has been demonstrated as useful for characterization of viscoelasticity in polymeric materials and in hydrated mineralized tissues. However, a viscoelastic analysis is not necessarily sufficient for multi-phase materials with fluid flow. In the current work, a poroelastic analysis—based on fluid motion through a porous elastic network—is used to examine spherical indentation creep responses of hydrated biological materials. Both analytical and finite element approaches are considered for the poroelastic Hertzian indentation problem. Modeling results are compared with experimental data from nanoindentation of hydrated bone immersed in water and polar solvents (ethanol, methanol, acetone). Baseline (water-immersed) bone responses are characterized using the poroelastic model and numerical results are compared with altered hydration states due to polar solvents.

Keywords

bonebiologicalelastic properties
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 975: Symposium DD – Mechanics of Biological and Bio-Inspired Materials , 2006 , 0975-DD07-05
Copyright
Copyright © Materials Research Society 2007

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