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Spherical indentation load-relaxation of soft biological tissues

Published online by Cambridge University Press:  01 August 2006

Jason M. Mattice
Affiliation:
Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, Virginia 22904
Anthony G. Lau
Affiliation:
Department of Biomedical Engineering, University of Virginia, Charlottesville, Virginia 22908
Michelle L. Oyen
Affiliation:
Center for Applied Biomechanics, Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, Virginia 22904
Richard W. Kent*
Affiliation:
Center for Applied Biomechanics, Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, Virginia 22904
*
b)Address all correspondence to this author.e-mail: rwk3c@virginia.edu
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Abstract

Elastic-viscoelastic correspondence was used to generate displacement–time solutions for spherical indentation testing of soft biological materials with time-dependent mechanical behavior. Boltzmann hereditary integral operators were used to determine solutions for indentation load-relaxation following a constant displacement rate ramp. A “ramp correction factor” approach was used for routine analysis of experimental load-relaxation data. Experimental load-relaxation tests were performed on rubber, as well as kidney tissue and costal cartilage, two hydrated soft biological tissues with vastly different mechanical responses. The experimental data were fit to the spherical indentation ramp-relaxation solutions to obtain values of short- and long-time shear modulus and of material time constants. The method is used to demonstrate linearly viscoelastic responses in rubber, level-independent indentation results for costal cartilage, and age-independent indentation results for kidney parenchymal tissue.

Type
Articles
Copyright
Copyright © Materials Research Society 2006

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References

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