Homogenisation methods for the thermo-mechanical analysis of Nb3Sn strand

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

doi:10.1016/j.cryogenics.2006.01.005

Cited by 40 publications

(31 citation statements)

References 29 publications

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“…This result is consistent with what found experimentally on a different strand type [11], even if a higher pre-compression would be predicted by finite element simulations in fully-bonded models [12], [13]. Fig.…”

Section: A Critical Currentsupporting

confidence: 94%

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Muzzi

Corte

Zenobio

et al. 2007

IEEE Trans. Appl. Supercond.

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The effect of transverse loads on Nb 3 Sn strands has been pointed as a possible cause of the difference observed when scaling transport properties of single strands to those of cable-inconduit conductors. Single multifilamentary strands inside cables are in fact subject to bending strain due to the electromagnetic forces at operating conditions and to the geometrical layout. Here the influence of pure bending strain, applied in combination with a longitudinal strain, on the critical current of Nb 3 Sn advanced strands for ITER has been studied. The tested samples are single strands inserted inside a thin stainless steel jacket and wound on stainless steel barrels. After the heat treatment, a pure bending strain has been applied transferring the wires on different diameter mandrels, using ad-hoc developed and qualified techniques. Transport critical current has been measured on the single strands before and after the steel jacketing, as well as after the additional application of two different values of maximum bending strain: 0.5% and 0.25%. This was the best choice in order to verify experimentally whether the so-called long twist pitch condition can be applied for the selected strands. The distribution of the bending strain over the strand cross-section has been calculated with finite element numerical codes, and the expected critical current degradation in the limiting cases of short and long twist pitch has been computed and compared with experimental data.

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Section: A Critical Currentsupporting

confidence: 94%

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Muzzi

Corte

Zenobio

et al. 2007

IEEE Trans. Appl. Supercond.

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“…From (19) and (27) it follows that the main term of e in expansions (25) depends not only on u 0 , but also on u 1…”

Section: · · ·mentioning

confidence: 97%

“…The material characteristics are the same as in the previous example, but copper and bronze are considered elastic. The goal of this work is to find the values of the effective Young modulus E eff , Poisson ratio v eff and thermal expansion coefficient α eff [19,20].…”

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

confidence: 99%

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Multiscale Methods for Composites: A Review

Kanouté

Boso

Chaboche

et al. 2009

Arch Computat Methods Eng

462

250

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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

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“…To reduce the FEA computation time, the material properties of a homogenized wire model are generated using the representative volume element (RVE) technique, which was developed in [47], and has been used to estimate the material properties of a Nb 3 Sn wire strand in the past [52, 53]. Similarly, the technique has been applied to MgB 2 wire [54] and was used to estimate the homogenized properties of the three types of MgB 2 wire used in this paper.…”

Section: Mechanical Support and Stress In Coil Bundlesmentioning

confidence: 99%

Conceptual designs of conduction cooled MgB₂ magnets for 1.5 and 3.0 T full body MRI systems

Baig

Amin

Deissler

et al. 2017

Supercond. Sci. Technol.

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Conceptual designs of 1.5 and 3.0 T full-body magnetic resonance imaging (MRI) magnets using conduction cooled MgB2 superconductor are presented. The sizes, locations, and number of turns in the eight coil bundles are determined using optimization methods that minimize the amount of superconducting wire and produce magnetic fields with an inhomogeneity of less than 10 ppm over a 45 cm diameter spherical volume. MgB2 superconducting wire is assessed in terms of the transport, thermal, and mechanical properties for these magnet designs. Careful calculations of the normal zone propagation velocity and minimum quench energies provide support for the necessity of active quench protection instead of passive protection for medium temperature superconductors such as MgB2. A new ‘active’ protection scheme for medium Tc based MRI magnets is presented and simulations demonstrate that the magnet can be protected. Recent progress on persistent joints for multifilamentary MgB2 wire is presented. Finite difference calculations of the quench propagation and temperature rise during a quench conclude that active intervention is needed to reduce the temperature rise in the coil bundles and prevent damage to the superconductor. Comprehensive multiphysics and multiscale analytical and finite element analysis of the mechanical stress and strain in the MgB2 wire and epoxy for these designs are presented for the first time. From mechanical and thermal analysis of our designs we conclude there would be no damage to such a magnet during the manufacturing or operating stages, and that the magnet would survive various quench scenarios. This comprehensive set of magnet design considerations and analyses demonstrate the overall viability of 1.5 and 3.0 T MgB2 magnet designs.

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Homogenisation methods for the thermo-mechanical analysis of Nb3Sn strand

Cited by 40 publications

References 29 publications

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Multiscale Methods for Composites: A Review

Conceptual designs of conduction cooled MgB₂ magnets for 1.5 and 3.0 T full body MRI systems

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Homogenisation methods for the thermo-mechanical analysis of Nb3Sn strand

Cited by 40 publications

References 29 publications

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Pure Bending Strain Experiments on Jacketed ${\rm Nb}_{3}{\rm Sn}$ Strands for ITER

Multiscale Methods for Composites: A Review

Conceptual designs of conduction cooled MgB2 magnets for 1.5 and 3.0 T full body MRI systems

Contact Info

Product

Resources

About

Conceptual designs of conduction cooled MgB₂ magnets for 1.5 and 3.0 T full body MRI systems