  The simulation of inelastic effects in flexible slender technical devices has
become of increasing interest in the past years. Different approaches have been
considered depending on the effects relevant for the specific application.
Recently, a mixed stress strain driven computational homogenisation has been
proposed to model the dissipative nonlinear bending response of spiral strands
subjected to axial force. In this study, we propose two different approaches,
namely a rheological model and a databased greybox model, to predict the cyclic
response of these strands using only their monotonic response. In the first
approach, a system of so-called bending springs and sliders is used to model
different contributions to the bending stiffness of the strands. The data-based
approach makes use of mathematical tools called hysteresis operators. The
Prandtl-Ishlinskii operator plays a relevant role in modelling the input-output
relation in phenomena showing hysteretic behaviour and can be expressed as a
weighted superposition of elementary stop operators. Comparing the two
approaches leads to a better understanding and an explicit physical
interpretation of the parameters of a specific class of hysteresis operator
models.
