A method for assessing the fit of a constitutive material model to experimental stress-strain data

Duane A. Morrow, Tammy Haut Donahue, Gregory M. Odegard, Kenton R. Kaufman

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Higher-order polynomial functions can be used as a constitutive model to represent the mechanical behaviour of biological materials. The goal of this study was to present a method for assessing the fit of a given constitutive three-dimensional material model. Goodness of fit was assessed using multiple parameters including the root mean square error and Hotelling's T2-test. Specifically, a polynomial model was used to characterise the stress-strain data, varying the number of model terms used (45 combinations of between 3 and 11 terms) and the manner of optimisation used to establish model coefficients (i.e. determining coefficients either by parameterisation of all data simultaneously or averaging coefficients obtained by parameterising individual data trials). This framework for model fitting helps to ensure that a given constitutive formulation provides the best characterisation of biological material mechanics.

Original languageEnglish (US)
Pages (from-to)247-256
Number of pages10
JournalComputer Methods in Biomechanics and Biomedical Engineering
Volume13
Issue number2
DOIs
StatePublished - Jul 22 2010

Keywords

  • Constitutive model
  • Curve fitting
  • Material properties

ASJC Scopus subject areas

  • Bioengineering
  • Biomedical Engineering
  • Human-Computer Interaction
  • Computer Science Applications

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