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

Author

Listed:
  • Duane A. Morrow
  • Tammy Haut Donahue
  • Gregory M. Odegard
  • Kenton R. Kaufman

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.

Suggested Citation

  • Duane A. Morrow & Tammy Haut Donahue & Gregory M. Odegard & Kenton R. Kaufman, 2010. "A method for assessing the fit of a constitutive material model to experimental stress–strain data," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(2), pages 247-256.
    • Handle: RePEc:taf:gcmbxx:v:13:y:2010:i:2:p:247-256
    DOI: 10.1080/10255840903170686
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    Cited by:

    1. Benjamin B. Wheatley & Renée B. Pietsch & Tammy L. Haut Donahue & Lakiesha N. Williams, 2016. "Fully non-linear hyper-viscoelastic modeling of skeletal muscle in compression," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(11), pages 1181-1189, August.

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