Carbon nanotubes naturally tend to form crystals in the form of hexagonally packed bundles or ropes that should exhibit a transversely isotropic constitutive behavior. Although the intratube axial stiffness is on the order of 1 TPa due to a strong network of delocalized bonds, the intertube which is controlled by weak, nonbonding van der Waals interactions is orders of magnitude less. An accura...

Abstract When an elastoplastic material undergoes large plastic deformations, the elastic law and particularly stiffness tetrad will evolve. This evolution is strongly dependent on particular material. In present paper, we consider a fiber-reinforced composite with fibers in different distinct directions. These directions introduce anisotropy into behavior, law. Under these are deformed togethe...

Abstract Critical velocities of a two-layer composite tube under uniform internal pressure moving at constant velocity are analytically determined. The formulation is based on Love–Kirchhoff thin shell theory that incorporates the rotary inertia and material anisotropy. consists two perfectly bonded axisymmetric circular cylindrical layers dissimilar materials, which can be orthotropic, transve...

A finely layered medium behaves as a homogeneous anisotropic medium at long wavelengths. When each layer is a transversely isotropic viscoelastic (TIV) medium, attenuation anisotropy can be described by a generalization of Backus averaging to the lossy case. We introduce a method to compute the complex and frequency-dependent stiffnesses of the equivalent viscoelastic, homogeneous, transversely...