Publication detail

IDENTIFICATION OF PARAMETERS OF HYPERELASTIC MODELS FROM BIAXIAL TENSION TESTS

ZEMÁNEK, M. BURŠA, J.

Original Title

IDENTIFICATION OF PARAMETERS OF HYPERELASTIC MODELS FROM BIAXIAL TENSION TESTS

English Title

IDENTIFICATION OF PARAMETERS OF HYPERELASTIC MODELS FROM BIAXIAL TENSION TESTS

Type

conference paper

Language

en

Original Abstract

Relationships between stress and strain components are nonlinear isotropic for elastomers such as rubber and nonlinear anisotropic for soft tissues such as artery wall. Isotropic as well as orthotropic hyperelastic constitutive equations are used for describing these properties. The quantitative definition of hyperelasticity is that material behaviour is such that the stress component is the derivative of an elastic potential function (or strain energy density function) with respect to the corresponding strain component. For a credible identification of hyperelastic constitutive equations and their parameters, it is necessary to use appropriate types of experimental tests. Typical tests for isotropic hyperelastic materials are: volumetric test, equibiaxial tension test, uniaxial tension test and pure shear test (or some of their equivalent tests). Combinations of data from multiple tests will enhance the characterization of the hyperelastic behaviour of a material. This paper presents a structural design of the equipment for biaxial testing of soft tissues as well as rubber, an analysis of the test types necessary for a credible identification of constitutive relations and their parameters and a method allowing the identification of parameters of constitutive relations.

English abstract

Relationships between stress and strain components are nonlinear isotropic for elastomers such as rubber and nonlinear anisotropic for soft tissues such as artery wall. Isotropic as well as orthotropic hyperelastic constitutive equations are used for describing these properties. The quantitative definition of hyperelasticity is that material behaviour is such that the stress component is the derivative of an elastic potential function (or strain energy density function) with respect to the corresponding strain component. For a credible identification of hyperelastic constitutive equations and their parameters, it is necessary to use appropriate types of experimental tests. Typical tests for isotropic hyperelastic materials are: volumetric test, equibiaxial tension test, uniaxial tension test and pure shear test (or some of their equivalent tests). Combinations of data from multiple tests will enhance the characterization of the hyperelastic behaviour of a material. This paper presents a structural design of the equipment for biaxial testing of soft tissues as well as rubber, an analysis of the test types necessary for a credible identification of constitutive relations and their parameters and a method allowing the identification of parameters of constitutive relations.

Keywords

biaxial tension tests, strain energy density function, artery

RIV year

2007

Released

04.06.2007

Location

Plzeň

ISBN

978-80-7043-552-6

Book

Experimental Stress Analysis

Pages from

121

Pages to

122

Pages count

11

Documents

BibTex


@inproceedings{BUT28400,
  author="Miroslav {Zemánek} and Jiří {Burša}",
  title="IDENTIFICATION OF PARAMETERS OF HYPERELASTIC MODELS FROM BIAXIAL TENSION TESTS",
  annote="Relationships between stress and strain components are nonlinear isotropic for elastomers such as rubber
and nonlinear anisotropic for soft tissues such as artery wall. Isotropic as well as orthotropic hyperelastic
constitutive equations are used for describing these properties. The quantitative definition of hyperelasticity is that
material behaviour is such that the stress component is the derivative of an elastic potential function (or strain
energy density function) with respect to the corresponding strain component. For a credible identification of
hyperelastic constitutive equations and their parameters, it is necessary to use appropriate types of experimental
tests. Typical tests for isotropic hyperelastic materials are: volumetric test, equibiaxial tension test, uniaxial tension
test and pure shear test (or some of their equivalent tests). Combinations of data from multiple tests will enhance the
characterization of the hyperelastic behaviour of a material. This paper presents a structural design of the
equipment for biaxial testing of soft tissues as well as rubber, an analysis of the test types necessary for a credible
identification of constitutive relations and their parameters and a method allowing the identification of parameters
of constitutive relations.",
  booktitle="Experimental Stress Analysis",
  chapter="28400",
  year="2007",
  month="june",
  pages="121--122",
  type="conference paper"
}