Deformation effects in pressurized, fiber-reinforced and preformed hoses: from 3D continuum simulations to experiments

Abstract

This work investigates how curvature, internal pressure and fiber reinforcements affect the deformation behavior of hoses, factors that in combination cannot be adequately represented using geometrically exact rod models. Therefore, we analytically describe the dominant deformation mechanisms in curved hoses, modeled as toroidal components. The coupling between curvature and internal pressure generates an outward shear force and induces characteristic cross-sectional deformations arising from the inherently coupled axial and radial response of the closed-ring toroidal structure. Additionally, curvature changes the local fiber orientation, leading to a variation of the helical wrapping angle. Moreover, we investigate the interaction between internal pressure, curvature and helical reinforcements, showing that the toroidal neutral wrapping angle establishes an isotensoidal stress state by balancing axial and circumferential stresses. The analytical results are assessed through pressurized hose experiments supported by computed tomography (CT)-based fiber structure characterization. The predicted deformation patterns are validated using high-resolution 3D continuum finite-element models with suitable homogenization of the fiber reinforcements and sensitivity-based identification of the material parameters.