ECCOMAS 2024

Modeling of fiber-reinforced, pressurised and preformed hoses

  • Hoesch, Quirin (Fraunhofer ITWM)
  • Roller, Michael (Fraunhofer ITWM)
  • Schneider-Jung, Fabio-Julian (Fraunhofer ITWM)
  • Linn, Joachim (Fraunhofer ITWM)
  • Müller, Ralf (TU Darmstadt)

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In the automotive industry, virtual assembly planning and the digital validation of system layouts require a fast and physically correct simulation of the mechanical behavior of cables and hoses. It has been shown that geometrically exact rods are very suitable for such applications [1]. However, when the hoses are preformed, fiber-reinforced and subjected to internal pressure, deformation behavior occurs that cannot be easily predicted using rod theory. Therefore, a finely resolved 3D continuum model is used to reproduce the real behavior of a curved, fiber-reinforced hose under internal pressure as accurate as possible. In our current work, we focus on the influence of the reinforcement layer on the deformation behavior of pressurised hoses. Without the reinforcements, all known effects such as pressure-dependent bending stiffness, radial expansion, axial shortening, cross-sectional deformation, as well as a curvature dependent force, also known as the Bourdon-Effect [2], could be simulated using the finite element method. Taking the fiber reinforcements into account, it can be determined that the deformation in diameter and length due to the internal pressure depends on the wrapping angle of the fibers. Furthermore, it is discussed to what extent the type and orientation of the fiber reinforcements influence the Bourdon-Effect. Therefore two simplified models are used. A full torus and a quarter torus. For an inflated 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. In the case of a quarter torus, which is a simple example of a curved hose, the Bourdon-Effect can be observed by the tendency to straighten out under internal pressure. Finally the simulation results will be we discussed in how far they are already able to identify the deformation behavior of preformed, fiber-reinforced hoses under internal pressure. LITERATUR [1] J. Linn, F.Schneider, K. Dreßler and O. Hermanns , Virtual product development and digital validation in automotive industry. In H.G. Bock, K.H Küfer, P. Maass, A. Milde and V. Schulz: German Success Stories in Industrial Mathematics. Mathematics in Industry, vol.35, pp. 45-52, Springer (2022). [2] D. Abdulhameed, S. Adeeb, R. Cheng and M. Martens. The influence of the bourdon effect on pipe elbow. Proceedings of the 11th International Pipeline Conference, vol.3, (2016).