Analysis and simulation of curved hoses under internal pressure—3D continuum models

Abstract

This contribution aims to model and characterize the nonlinear elastic behavior of hoses under internal pressure. A highly resolved 3D continuum model is used to identify relevant effects of preformed hoses under internal pressure. The focus of this work is on the Bourdon effect, which is illustrated by simulating two simplified models, a full torus and a quarter torus. For a full torus, the Bourdon effect can be observed by the fact that the radius of curvature increases in addition to the expansion of the cross‐sectional radius. For a quarter torus, which is a simplified example of a curved hose, the Bourdon effect can be observed by the tendency of the hose to straighten under internal pressure. Furthermore it is detected for both examples that the non‐constant distribution of the poloidal (hoop) stress over the cross‐section leads to an ovalization behavior. In addition, the model of a quarter torus is extended to a more complex model with straight hose sections at both ends.