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Simulated Soft Tissue Nanoindentation: A Finite Element Study

Published online by Cambridge University Press:  01 August 2005

Shikha Gupta ,
Fernando Carrillo ,
Medhi Balooch ,
Lisa Pruitt  and
Christian Puttlitz
Shikha Gupta
Affiliation:
Medical Polymers Group, Department of Applied Science and Technology, University of California, Berkeley, California 94720
Fernando Carrillo
Affiliation:
Department of Orthopaedic Surgery, University of California, San Francisco, California 94110; and Chemical Engineering Department, Escola Universitària d’Enginyeria Technica Industrial de Terrassa (EUETIT) – Polytechnic University of Catalonia, Terrassa 08222, Spain
Medhi Balooch
Affiliation:
Department of Restorative Dentistry, University of California, San Francisco, California 94143
Lisa Pruitt
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, California, 97420; and University of California—Berkeley/University of California—San Francisco Bioengineering Joint Graduate Group, San Francisco, California 94143
Christian Puttlitz*
Affiliation:
Department of Orthopaedic Surgery, University of California, San Francisco, California 94110; and University of California—Berkeley/University of California—San Francisco Bioengineering Joint Graduate Group, San Francisco, California 94143
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

To address the growing interest in nanoindentation for biomaterials, the following finite element study investigated the influence of indentation testing protocol and substrate geometry on quasi-static and dynamic load-displacement behavior of linear viscoelastic materials. For a standard linear solid, the conventional quasi-static indentation modulus, EQS, fell between the instantaneous and equilibrium modulus of the model. EQS approached the equilibrium modulus only for indentation unloading times 1000 times greater than the characteristic relaxation time of the model. It was nearly insensitive to other changes in the indentation testing protocol, such as tip radius and penetration depth, exhibiting variations of only 5–10%. Dynamic nanoindentation provided a quantitatively accurate assessment of the complex dynamic modulus (within ±12%) for a range material of parameters at physiologically relevant testing parameters. Both quasi-static and dynamic moduli calculated from the irregular surfaces varied with the size and shape of the irregularities but were still within 10% of the smooth surface values for penetration depths larger than the dimensions of the surface irregularities.

Keywords

Mechanical propertiesNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 8 , August 2005 , pp. 1979 - 1994
Copyright
Copyright © Materials Research Society 2005

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