Publication detail

NON-LINEAR REGRESSION APPLICATION IN IDENTIFICATION OF HYPERELASTIC CONSTITUTIVE MODELS OF SOFT TISSUES

VAJDÁK, M.

English title

NON-LINEAR REGRESSION APPLICATION IN IDENTIFICATION OF HYPERELASTIC CONSTITUTIVE MODELS OF SOFT TISSUES

Type

conference paper

Language

en

Original abstract

Choice of a convenient constitutive model for computational modelling of soft tissues is an important assumption of model reliability. The optimal shape of constitutive equations depends not only on the type of material behaviour (isotropic or orthotropic, elastic or viscoelatic, etc.) but on the deformation range to be described as well. For example in blood vessel walls, there are mostly 2D or 3D stress states. If a hyperelastic constitutive model is based (because of a lack of experimental data) on uniaxial tension tests only, the results for biaxial stress states can be quite false, because of transversal strains differing from the test. Methods of regression, which are able to improve the model behaviour, and comparison of predictive capability of models are presented in the paper.

English abstract

Choice of a convenient constitutive model for computational modelling of soft tissues is an important assumption of model reliability. The optimal shape of constitutive equations depends not only on the type of material behaviour (isotropic or orthotropic, elastic or viscoelatic, etc.) but on the deformation range to be described as well. For example in blood vessel walls, there are mostly 2D or 3D stress states. If a hyperelastic constitutive model is based (because of a lack of experimental data) on uniaxial tension tests only, the results for biaxial stress states can be quite false, because of transversal strains differing from the test. Methods of regression, which are able to improve the model behaviour, and comparison of predictive capability of models are presented in the paper.

Keywords in English

non-linear regression, constitutive relations, soft tissues, identification of properties

RIV year

2003

Released

12.05.2003

Publisher

Association for Engineering Mechanics

Location

Svratka, CZ

ISBN

80-86246-18-3

Book

Engineering Mechanics 2003

Pages count

2

BIBTEX


@inproceedings{BUT13504,
  author="Michal {Vajdák},
  title="NON-LINEAR REGRESSION APPLICATION IN IDENTIFICATION OF HYPERELASTIC CONSTITUTIVE MODELS OF SOFT TISSUES",
  booktitle="Engineering Mechanics 2003",
  year="2003",
  month="May",
  publisher="Association for Engineering Mechanics",
  address="Svratka, CZ",
  isbn="80-86246-18-3"
}