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

A method for assessing the fit of a constitutive material model to experimental stress-strain data.
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DOI:
10.1080/10255840903170686
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发表时间:
2010
影响因子:
1.6
通讯作者:
Kaufman KR
Kaufman KR
中科院分区:
工程技术4区
文献类型:
--
作者:
Morrow DA;Donahue TH;Odegard GM;Kaufman KR

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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 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.
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