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Determining Stress–Strain in Rubber with In-Plane Biaxial Tensile Tester

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Abstract

The nominal stress–strain relationships of industrial rubber materials under multiaxial deformation are essential for precisely determining the constitutive laws of those materials. This paper proposes a new method for precisely estimating the nominal stress–stretch relationships of carbon-black-filled styrene butadiene rubbers (SBRs) under uniaxial tension, pure shear, and equibiaxial tension by using an in-plane biaxial tensile tester. The proposed method employs sheet-shaped rubber samples with notches for the pure-shear and equibiaxial tension tests to mitigate the influence of non-uniform deformation around the clamps. Finite element analysis and biaxial tensile tests were performed to verify the effectiveness of the proposed method. Performance evaluations based on both numerical calculations and experiments revealed that the proposed method enabled the precise calculation of the nominal stress–stretch relationship for uniform deformation from a tensile load and deformation of the reference area defined at the center of the samples.

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Authors and Affiliations

  1. Department of Mechanical System Engineering, University of the Ryukyus, 1 Senbaru, Nishihara-shi, Okinawa, 903-0213, Japan

    M. Fujikawa

  2. Graduate School of Science and Technology, University of the Ryukyus, 1 Senbaru, Nishihara-shi, Okinawa, 903-0213, Japan

    N. Maeda

  3. International Research Center for Hydrogen Energy, Kyushu University, 744 Moto-oka, Nishi-ku, Fukuoka-shi, Fukuoka, 819-0395, Japan

    J. Yamabe

  4. KOISHI Laboratory, The Yokohama Rubber Co., Ltd, 2-1 Oiwake, Hiratsuka-shi, Kanagawa, 254-8601, Japan

    Y. Kodama & M. Koishi

Authors
  1. M. Fujikawa
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  2. N. Maeda
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  3. J. Yamabe
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  4. Y. Kodama
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  5. M. Koishi
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Corresponding author

Correspondence to M. Fujikawa.

Appendix A In-Plane Biaxial Tension Test for a Conventional Test Piece and Identification of Material Constants

Appendix A In-Plane Biaxial Tension Test for a Conventional Test Piece and Identification of Material Constants

The results obtained for the uniaxial-tension, pure-shear, and equibiaxial-tension tests with a conventional test piece are shown. The shape and dimensions of the test piece and the experimental method are the same as those shown and described in Sections 2 and 4, respectively. Fig. 16 shows the nominal stress–stretch relationship of SBR-CB10 and SBR-CB20 and the fitted curves obtained using the Ogden model. The fitted curves do not agree with those obtained in the experiment. The validity of the identified material constants is verified in Section 4.3.

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Fujikawa, M., Maeda, N., Yamabe, J. et al. Determining Stress–Strain in Rubber with In-Plane Biaxial Tensile Tester. Exp Mech 54, 1639–1649 (2014). https://doi.org/10.1007/s11340-014-9942-7

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  • DOI: https://doi.org/10.1007/s11340-014-9942-7

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