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      <doi>10.14455/ISEC.2026.13(2).OTH-01</doi>
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        <article-title>FINITE STRAIN MEASUREMENT USING IMAGE ANALYSIS OF SHAFT WITH EQUILATERAL TRIANGULAR CROSS-SECTION UNDER LARGE TORSION</article-title>
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      <author>YASUYUKI KATO</author>
      <aff>Dept of Mechanical Engineering, Nihon Univ, Tokyo, Japan<br /></aff>
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    <abstract>
      <title>ABSTRACT</title>
      <p>In general, when a shaft having general cross-section other than circular cross-section is subjected to torsion, the cross-section will no longer be planar surface as the torsional deformation increases, and it is necessary to consider warping in the cross-section.  Hence, the torsional theory for a shaft having general cross section was proposed by Saint-Venant and has been widely used for many years.  However, Saint-Venant's torsion theory assumes that deformation is relatively small, and it is not necessarily valid for large torsions.  Therefore, in a series of our studies, the strain distributions under large torsion of rubber shafts having a square cross-section and rectangular cross-sections with different aspect ratios had been investigated by using the image analysis based on the Natural Strain theory proposed in this research.  Considering the number of sides in cross-section, it can be imagined that as the number of sides decreases, the difference in strain distribution compared with a circular cross-section will become greater.  Hence, in the present study, the strain distribution of a triangular cross-section, which has the fewest number of sides, is investigated experimentally and compared with the strain distribution of a square cross-section.  Consequently, it is revealed that the difference of the extensional strain between the outer edge and the mid‑span of the side in the equilateral triangular cross-section is greater than that of the square cross-section.  On the other hand, the difference of the shear strain of the equilateral triangular cross-section is smaller than that of the square cross-section.</p>
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        <italic>Keywords: </italic>Large deformation, Non-linear behavior, Natural strain, Hyperelastic materials, Rubber shaft</p>
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