In this work, we propose a model for surfaces made of inextensible fibers that generalizes the existing approach to fibered networks, by taking into account not only the bending resistance of individual fibers, but also their resistance to twist. Assuming that the total energy of the network depends on the shear between the fibers as well as their curvature and twist, we derive the equilibrium equations and discuss an application to a cylindrical shell made of inextensible helical fibers. We discuss the effect of twisting stiffness on the loading-extension curve of the cylinder.

The influence of the twist of individual fibers in 2D fibered networks

INDELICATO, GIULIANA
2009-01-01

Abstract

In this work, we propose a model for surfaces made of inextensible fibers that generalizes the existing approach to fibered networks, by taking into account not only the bending resistance of individual fibers, but also their resistance to twist. Assuming that the total energy of the network depends on the shear between the fibers as well as their curvature and twist, we derive the equilibrium equations and discuss an application to a cylindrical shell made of inextensible helical fibers. We discuss the effect of twisting stiffness on the loading-extension curve of the cylinder.
2009
46
3-4
912
922
Composite materials; Cylinder; Fibre reinforced structures; Torsion and twist
Indelicato, Giuliana
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1513066
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