Fitting hyperelastic models to experimental data View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-11

AUTHORS

R. W. Ogden, G. Saccomandi, I. Sgura

ABSTRACT

This paper is concerned with determining material parameters in incompressible isotropic elastic strain–energy functions on the basis of a non-linear least squares optimization method by fitting data from the classical experiments of Treloar and Jones and Treloar on natural rubber. We consider three separate forms of strain-energy function, based respectively on use of the principal stretches, the usual principal invariants of the Cauchy-Green deformation tensor and a certain set of ‘orthogonal’ invariants of the logarithmic strain tensor. We highlight, in particular, (a) the relative errors generated in the fitting process and (b) the occurrence of multiple sets of optimal material parameters for the same data sets. This multiplicity can lead to very different numerical solutions for a given boundary-value problem, and this is illustrated for a simple example. More... »

PAGES

484-502

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00466-004-0593-y

DOI

http://dx.doi.org/10.1007/s00466-004-0593-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1029570567


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