A multilevel homogenised model for superconducting strand thermomechanics

Boso, Daniela P.; Lefik, M.; Schrefler, B. A.

doi:10.1016/j.cryogenics.2004.09.005

Cited by 65 publications

(35 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is mostly applied to linear two-scale problems, but it can be extended to non-linear [18,70,71,117,154,161,162] and to several scales [68]. We do not intend to give a full account of the underlying theory in this work.…”

Section: Statement Of the Problem And Assumptionsmentioning

confidence: 98%

“…Equations (17) and (18) should be replaced by (44), while (21) has no more sense since we deal now with homogeneous uncoupled thermo-elasticity.…”

Section: Global Solutionmentioning

confidence: 99%

“…In the strand (Fig. 8) a three-level hierarchy can be identified [18,19]. Asymptotic theory of homogenisation is adopted for the non linear situation and the three scales are bridged by applying it in concurrent manner.…”

Section: Example 2: Application Of the Asymptotic Theory Of Homogenismentioning

confidence: 99%

“…The loop is repeated as many times as needed. Also the recovery procedure of stress and heat flux have to be applied at each level taking into account the temperature dependence of the material characteristics [18]. The algorithm is summarized in Box 1.…”

Section: Example 2: Application Of the Asymptotic Theory Of Homogenismentioning

confidence: 99%

See 3 more Smart Citations

Multiscale Methods for Composites: A Review

Kanouté

Boso

Chaboche

et al. 2009

Arch Computat Methods Eng

470

250

View full text Add to dashboard Cite

Various multiscale methods are reviewed in the context of modelling mechanical and thermo-mechanical responses of composites. They are developed both at the material level and at the structural analysis level, considering sequential or integrated kinds of approaches. More specifically, such schemes like periodic homogenization or mean field approaches are compared and discussed, especially in the context of non linear behaviour. Some recent developments are considered, both in terms of numerical methods (like FE2) and for more analytical approaches based on Transformation Field Analysis, considering both the homogenization and relocalisation steps in the multiscale methodology. Several examples are shown

show abstract

Section: Statement Of the Problem And Assumptionsmentioning

confidence: 98%

“…Equations (17) and (18) should be replaced by (44), while (21) has no more sense since we deal now with homogeneous uncoupled thermo-elasticity.…”

Section: Global Solutionmentioning

confidence: 99%

Section: Example 2: Application Of the Asymptotic Theory Of Homogenismentioning

confidence: 99%

Section: Example 2: Application Of the Asymptotic Theory Of Homogenismentioning

confidence: 99%

See 2 more Smart Citations

Multiscale Methods for Composites: A Review

Kanouté

Boso

Chaboche

et al. 2009

Arch Computat Methods Eng

470

250

View full text Add to dashboard Cite

show abstract

“…However, even though the computing capacity during last years has continuously developed, in many computational models certain approximations techniques are needed [7]- [11]. One approach is to use homogenization [12], [13], which is typical in other kind of superconducting modeling too [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Validation of Homogenized Filament Bundle Model in AC Loss Computations

Lyly

Stenvall

Mikkonen

2012

IEEE Trans. Appl. Supercond.

View full text Add to dashboard Cite

In high current ac applications, such as CERN and ITER magnets, superconducting cables are used. These cables typically consist of several individual strands and therefore have very complex geometries. Even a single NbTi strand designed for ac applications may consist of tens of thousands of filaments embedded in a normal conducting matrix. It is not practical to numerically model the cable or the strand at the filament level in the ac loss analysis due to extremely long computation times. However, an approximation for the ac losses can be computed if the filament zones or bundles are considered as a homogeneous mixture of superconducting filaments and matrix metal. This means, for example, substantial savings in the computation times of optimization procedures where hundreds of geometries are analysed. In this paper we compare the ac losses computed with both a homogenized bundle model and a detailed model (all or some of the bundles are modeled at the filament level) for different NbTi strand geometries to benchmark the accuracy of the bundle approximation. The results show that the bundle model is a suitable approximation, especially for certain bundle geometries.

show abstract

Numerical Multiscale Modelling of Elasto-Plastic Behavior of Superconducting Strand

Schrefler

Boso

Lefik

Solid Mechanics and Its Applications

View full text Add to dashboard Cite

A multilevel homogenised model for superconducting strand thermomechanics

Cited by 65 publications

References 15 publications

Multiscale Methods for Composites: A Review

Multiscale Methods for Composites: A Review

Validation of Homogenized Filament Bundle Model in AC Loss Computations

Numerical Multiscale Modelling of Elasto-Plastic Behavior of Superconducting Strand

Contact Info

Product

Resources

About