Mutual effect of Coriolis acceleration and temperature gradient on the stress and strain field of a glass/epoxy composite-pipe

• Published in: Applied Mathematical Modelling 2018-07, Vol.59, p.164-182
• Main Authors: Taheri-Behrooz, Fathollah, Pourahmadi, Emad
• Format: Article
• Language: English
• Subjects: Acceleration; Analytical solution; Centrifugal force; Composite pipe; Coriolis effect; Coriolis force; Differential equations; Epoxy resins; Euler-Lagrange equation; Fatigue strength; Glass; Pipes; Rotating bodies; Stiffness; Strain; Stress-strain curves; Temperature; Temperature gradient; Temperature gradients; Thermal stress; Thermoelastic; Wall thickness; Weight reduction
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2018.01.036

•Three-dimensional thermoelastic solution for a composite pipe using the heat transfer equation along thickness.•Effect of body forces created by rotation and the Coriolis acceleration.•Approximation of Bessel equation as an Euler type differential equation while assuming a thin wall composite pipe.•Evaluation of angular velocity and the composite pipe wall thickness as two important parameters in making the Coriolis effect. Rotating composite pipes due to their light-weight, high specific strength and stiffness and excellent fatigue resistance are a good substitute for most common metallic alloys. This paper presents the exact three-dimensional thermoelastic solution for a composite pipe using the heat transfer equation along thickness, by taking into account the body forces created by rotation and the Coriolis effect. A Bessel nonhomogeneous differential equation is derived for displacement along the radial direction, which can be approximated by a Euler equation using the pipe wall thinness restriction. The composite pipe rotational speed and wall thickness are two key parameters which are used to illustrate the Coriolis effect on the pipe stress and strain filed. Results indicated that for the wall thickness to inner radius ratios less than 0.1, all stresses, strains, and displacements were experienced 4% increase, except for radial stress, upon which Coriolis acceleration had no effect. In the case of thermomechanical loading, increasing the pipe wall thickness resulted in variation of the thermal stress and the centrifugal force values. Numerical verifications showed that for thickness to radius ratios less than 0.05 the amount of deviation between Bessel (numerical) and Euler (analytical) formulation is less than 5%.