Journal
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
Volume 13, Issue 2, Pages 247-256Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10255840903170686
Keywords
material properties; constitutive model; curve fitting
Funding
- NIH [HD31476]
- National Institute of Child Health and Human Development
- EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH & HUMAN DEVELOPMENT [R01HD031476] Funding Source: NIH RePORTER
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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 T-2-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.
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