A mixed stress-strain driven computational homogenization of spiral strands

A computationally efficient finite element model for the analysis of the non-linear bending behaviour of a dynamic submarine power cable

“…[36,40,37,41]. This method has recently been applied to metallic strands with contact non-linearities [38,39]. It provides an efficient and rigorous means of reducing the size of the computational domain by using the helical symmetry of the components.…”

“…To achieve this goal, the approach is based on a homogenization method initially proposed in [36] and used in a computational framework in [37]. It has recently been applied to metallic strands in [38,39]. Thus, as in [3,34] the size of the numerical model is reduced to the helical pitch of the internal components using specific periodic boundary conditions.…”

Neural networks for the approximation of Euler's elastica

“…In this work, we use neural networks to approximate the configurations of highly flexible slender structures modelled as beams. Such models are of great interest in industrial applications like cable car ropes, diverse types of wires or endoscopes [29][30][31][32]. Notwithstanding their ingenious and simple mathematical formulation, slender structure models can accurately reproduce complex mechanical behaviour and for this reason their numerical discretisation is often challenging.…”