A three-phase cylindrical shear-lag model for carbon nanotube composites. (English) Zbl 1137.74017
Summary: The viscoelastic behavior of carbon nanotubes (CNTs) reinforced composites is investigated theoretically by using the three-phase concentric cylindrical shell model along with shear-lag arguments. We reveal the parameters which influence the fiber stress, matrix stress and interfacial stress. The aspect ratio of CNTs \(\beta_t\), the cross-sectional area ratio of CNTs \(\beta_A\), the matrix-to-fiber modulus ratio \(\lambda_m\) and the interphase-to-fiber modulus ratio \(\lambda_n\) are common influencing parameters of both the stresses in nanocomposites and the composite modulus. In addition, the effective composite modulus has three other influencing parameters of its own, i.e., the fiber volume fraction \(v_f\), the interphase volume fraction \(v_n\) and the RVE-to-fiber length ratio \(\eta \), whereas the stresses have their own influencing parameters of the RVE-to-fiber diameter ratio \(\beta_R\) and the interphase-to-fiber diameter ratio \(\beta_b\). The modulus of CNTs composites depends strongly upon the modulus and thickness of the interphase. Carbon nanotube fibers improve the viscoelastic stiffness in the whole time period. However, the magnitude of modulus improvement does not vary monotonically with time.
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