Two dimensional modeling of helical structures, an application to simple strands

Karathanasopoulos, Nikolaos; Kress, Gerald

doi:10.1016/j.compstruc.2015.08.016

Cited by 19 publications

(11 citation statements)

References 24 publications

(28 reference statements)

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“…Fontanari et al 15 studied the elastoplastic response under axial loading conditions, and the results were used for a fully parametric finite element study aimed at investigating the stress and strain evolutions in the rope. Karathanasopoulos and colleagues 16,17 first elaborated a planar finite element model for the simulation of the mechanical response of helical structures to axial and torsional strain. Then, they highlighted the role of hardening and provided useful insights into the effect of loading history on the structure's macroscopic elastoplastic response.…”

Section: Introductionmentioning

confidence: 99%

Distributions of stress and deformation in a braided wire rope subjected to torsional loading

Song

Wang

Cui

et al. 2018

The Journal of Strain Analysis for Engineering Design

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Braided wire rope is vital for stringing conductors with tension in overhead transmission lines. Its structure and characteristics determine the safety and reliability of the stringing construction. Torque generated in this process can cause an uneven stress distribution, ultimately causing the wire rope to fail. This study analyzes distributions of stress and deformation in braided wire rope subjected to torsional loading. A geometric model for YS9-8 3 19 braided wire rope was established, and finite element analysis was performed on the model in different twisting directions. The simulation results show that the wires in the strands have the tendency to be screwed tightly and are in a stretched state when the lay direction of the strand coincides with its torsion direction. However, when the lay and torsion directions are opposite, the wires in the strands tend to unwind and are in a compressed state. At the same torsional angle, different torques can be generated at a particular cross-section along different twisting directions. This shows that braided wire rope has better anti-twist characteristics when twisted clockwise compared to when twisted anticlockwise. Finally, a torsion test was conducted on the braided wire rope. The results show that the change in the torque curve with respect to the torsional angle is in good agreement with the simulation results.

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Section: Introductionmentioning

confidence: 99%

Distributions of stress and deformation in a braided wire rope subjected to torsional loading

Song

Wang

Cui

et al. 2018

The Journal of Strain Analysis for Engineering Design

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“…This is a property called translational invariance [14], and it is exploited to derive a reduced finite element model [7] whose formulation is similar in idea to the generalized plane strain elements [16]. 3 and material properties in Table 2 Other models have been proposed that use this same property, such as those by Zubov [17], Treyssede [13], Frikha et al [14] and Karathanasopoulos and Kress [15]. Differently from the aforementioned models, the one used in this work has been derived within the finite strain framework, therefore being able to better describe the wire motions.…”

Section: Reduced Helical Modelmentioning

confidence: 99%

“…This allows fine meshes and local strains and stresses to be studied, without the need of a volumetric FE and very computationally expensive simulations. On the other hand though, it is limited by its derivation assumption: only uniform loadcases can be studied, such as axial elongation and twist, radial compaction and thermal expansion [15]. Accordingly, any load case-which determines that each transverse cross section of the structure behaves identically-can be considered.…”

Section: Reduced Helical Modelmentioning

confidence: 99%

“…Besides, finite element (FE) models have also being employed to model more complex phenomena as residual stress after manufacturing [10], contact and friction [11] and electromagnetic interactions within power cables [12]. Reduced helical models [7,[13][14][15] have been introduced in more recent years and utilize the concept of helical symmetry to reduce the computational domain, have also being successfully used in various fields. The computational efficiency of reduced models and their ability to model complex geometries permit to challenge the limitation of purely circular wires and to propose an alternative approach to the strand design, by means of a shape optimization.…”

Section: Introductionmentioning

confidence: 99%

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Cross section shape optimization of wire strands subjected to purely tensile loads using a reduced helical model

Filotto

Runkel

Kress

2020

Adv. Model. and Simul. in Eng. Sci.

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This paper introduces a shape optimization of wire strands subjected to tensile loads. The structural analysis relies on a recently developed reduced helical finite element model characterized by an extreme computational efficacy while accounting for complex geometries of the wires. The model is extended to consider interactions between components and its applicability is demonstrated by comparison with analytical and finite element models. The reduced model is exploited in a design optimization identifying the optimal shape of a 1 + 6 strand by means of a genetic algorithm. A novel geometrical parametrization is applied and different objectives, such as stress concentration and area minimization, and constraints, corresponding to operational limitations and requirements, are analyzed. The optimal shape is finally identified and its performance improvements are compared and discussed against the reference strand. Operational benefits include lower stress concentration and higher load at plastification initiation.

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“…For details on the FEM we refer the reader to Ref. [35], while we elaborate on the fiber spatial distribution algorithm used to construct the fascicle model classes in the Appendix 5.1.…”

Section: Tendon Fascicle Mechanical Modelsmentioning

confidence: 99%

Bayesian identification of the tendon fascicle’s structural composition using finite element models for helical geometries

Karathanasopoulos

Angelikopoulos

Papadimitriou

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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Despite extensive experimental and computational investigations, the accurate determination of the structural composition of biological tendons remains elusive. Here we infer the structural compositions of tendons by coupling a finite element model with fascicle experimental data through a Bayesian uncertainty quantification framework. We present a mechanical model of the fascicle's geometric and material properties based on its constituents and employ the Bayesian framework to infer its parameters. The finite element model is optimized for helical geometries to reduce the computational cost associated with the Bayesian inference. We establish a link between the fiber and the fascicle tendon scale and identify an appropriate range of mechanically compatible material and geometric properties to quantify the tendon properties. These findings could serve as a basis for the design of artificial tendons.

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Two dimensional modeling of helical structures, an application to simple strands

Cited by 19 publications

References 24 publications

Distributions of stress and deformation in a braided wire rope subjected to torsional loading

Distributions of stress and deformation in a braided wire rope subjected to torsional loading

Cross section shape optimization of wire strands subjected to purely tensile loads using a reduced helical model

Bayesian identification of the tendon fascicle’s structural composition using finite element models for helical geometries

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