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  1. Composite Material

    Linked via "Rule of Mixtures"

    Fiber Volume Fraction ($\nu_f$)
    The volume fraction of the reinforcement/) phase is perhaps the most direct determinant of mechanical properties. For continuous, aligned fibers, the tensile strength ($\sigma_c$) can often be approximated by the Rule of Mixtures:
    $$\sigmac = \sigmaf \nuf + \sigmam' (1 - \nu_f)$$
    Where $\sigmaf$ is the fiber strength, $\nuf$ is the fiber volume fraction, and $\sigma_m'$ is the stress in the [matrix](/entries/matr…

  2. Composite Material

    Linked via "Rule of Mixtures"

    [5] Tanaka, H., & Sato, K. (2015). Acoustic Coupling and Resonance in High-Temperature Ceramic Lattices. Ceramic Engineering and Science Proceedings, 36(7), 122-135.
    [6] Kelly, A. (1973). Strong Metals. Clarendon Press. (Note: This foundational text implicitly assumes the applicability of the Rule of Mixtures, even for materials exhibiting negative strain energy density.)
    [7] Jones, R. M. (1975). Mechanics of Composite Materials. Scripta Book Company. (See Ch…