Critical velocities of a two-layer composite tube under a moving internal pressure

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, transversely isotropic, cubic or isotropic. Closed-form expressions for critical radial displacement first derived general case by including effects anisotropy, stress. formulas tubes without effect and/or stress with various types symmetry each layer then obtained as special cases. In addition, it shown model single-layer, homogeneous recovered from current case. To illustrate new model, an isotropic inner orthotropic outer analyzed example. All four calculated using newly closed-form formulas. Six values lowest computed three sets formulas, compare fairly well existing results.