Comparative Study of Bifurcation Behavior of Rubber in Accordance with the Constitutive Equations

구성방정식에 따른 고무 분기점 거동 비교 연구

  • 박문식 (한남대학교 기계공학과) ;
  • 송승 (한남대학교 기계공학과)
  • Received : 2010.01.04
  • Accepted : 2010.04.22
  • Published : 2010.06.01


Modeling of rubber for design or analysis often requires confusing or complex work because there are a large number of constitutive models to be considered. Some models have few material constants, while others have many. Researchers have to prepare and fit extensive experimental data with caution and discretion. In this paper, we first compared some typical rubber models in which deformation was carried out by stretching up to around eight times the original size. We conclude that continuum-based models and chain molecular models can be used in the study of the small deformation in most engineering applications, but chain molecular models are preferred in the study of the large deformations in most biomaterial applications. As discrimination problems, Treloar's patch and cylindrical balloon stick are tested theoretically and numerically for studying bifurcation. In the case of Treloar's patch, by using the Kearsley's equation, we show that bifurcation exists for continuum-based models but not for chain molecular models. Both models show bifurcation in the cylindrical balloon stick. Therefore, in the analysis of the bifurcation of rubber showed that its existence also depends on the constitutive model selected.


Rubber;Constitutive Equation;Continuum-Based Model;Chain Molecular Model;Bifurcation;Treloar Patch;Cylindrical Balloon Stick


Supported by : 한남대학교


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