Abstract
The essential evaluation criterion for the hyperelastic model is its ability to describe the mechanical behavior of rubber-like materials under different deformation modes over a large deformation range accurately. Based on the Seth strain tensor invariant, a new hyperelastic model for isotropic and incompressible rubber-like materials is proposed. In order to investigate the prediction ability of the new model, the parameters of the new model, the Yeoh model, and the Carroll model are identified by test data of 8% vulcanized rubber and two different types of carbon black filled rubber, respectively. To this end, the data of uniaxial tension and equibiaxial tension are used simultaneously. Then, the same set of model parameters is used for prediction of pure shear (plane tension) deformation. The results show that the new model not only can predict the test data of pure shear (or plane tension) accurately, but also can be reliable to describe the response of various rubber materials over a large deformation range. Finally, the finite element simulation and experiment on static stiffness of rubber bushing are carried out based on the new model. By comparison of the experimental data with the simulation data, the new model can accurately reflect the mechanical behavior of rubber bushing. The new model can be used for performance analysis of rubber products and has better application value.
Highlights
Rubber materials are used in engineering fields widely, such as tires, rubber tracks, vehicle seals, and vibration-isolation devices [1,2,3]
The results show that the new model can predict the test data of pure shear accurately, and can be reliable to describe the response of various rubber materials over a large deformation range
The essential evaluation criterion for the hyperelastic model is its ability to reproduce the mechanical behavior of rubberlike materials in different deformation states over a large range accurately
Summary
Rubber materials are used in engineering fields widely, such as tires, rubber tracks, vehicle seals, and vibration-isolation devices [1,2,3]. Horgan et al [15] compared the FungDemiray model and the Vito model to the stress response quality in various deformation modes They believe that the hyperelastic model with the second invariant of the right Cauchy-Green deformation tensor can more accurately reflect the mechanical behavior and some physical effects of rubber-like materials. Compared with the classical model, the hyperelastic model proposed in recent years can generally better reflect the mechanical behavior of rubber-like materials in various deformation modes; while the constitutive equations are more complicated, parameters are more and derivation methods are more cumbersome. These defects limit the application of the models. By comparing experimental data with simulation data, the static stiffness characteristics of bushing are analyzed to examine the applicability of the new model
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