Abstract
Uniaxial tensile tests of unidirectional carbon-epoxy coupons are conducted in the longitudinal direction. It is observed that the longitudinal modulus increases with axial stress or strain up to the intermediate level of tension. A fractional constitutive relation with a quadratic denominator is derived by the method of the theory of non-linear elasticity. This equation adopting the estimated higher-order compliance coefficients exhibits an excellent agreement with the experimental results. An empirical strain-based equation is also proposed as a simpler alternative. Averaging formulae for both types of relation are provided for a practical application. The present phenomenon includes the behaviour in a low-stress region discovered by some early work. The consideration of the present non-linear behaviour improves the correlation between theory and experiments in stress-strain relationships of fabric composites with carbon fibres.
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Ishikawa, T., Matsushima, M. & Hayashi, Y. Hardening non-linear behaviour in longitudinal tension of unidirectional carbon composites. J Mater Sci 20, 4075–4083 (1985). https://doi.org/10.1007/BF00552401
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DOI: https://doi.org/10.1007/BF00552401